[{"department":[{"_id":"HeEd"}],"intvolume":" 13238","editor":[{"first_name":"Farid","last_name":"Karimipour","id":"2A2BCDC4-CF62-11E9-BE5E-3B1EE6697425","orcid":"0000-0001-6746-4174","full_name":"Karimipour, Farid"},{"full_name":"Storandt, Sabine","last_name":"Storandt","first_name":"Sabine"}],"publisher":"Springer Nature","title":"Web and Wireless Geographical Information Systems","publication_status":"published","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"11429","year":"2022","volume":13238,"oa_version":"None","date_updated":"2022-06-02T05:56:22Z","date_created":"2022-06-02T05:40:53Z","edition":"1","place":"Cham","alternative_title":["LNCS"],"type":"book_editor","abstract":[{"text":"This book constitutes the refereed proceedings of the 18th International Symposium on Web and Wireless Geographical Information Systems, W2GIS 2022, held in Konstanz, Germany, in April 2022.\r\nThe 7 full papers presented together with 6 short papers in the volume were carefully reviewed and selected from 16 submissions. The papers cover topics that range from mobile GIS and Location-Based Services to Spatial Information Retrieval and Wireless Sensor Networks.","lang":"eng"}],"page":"153","quality_controlled":"1","citation":{"chicago":"Karimipour, Farid, and Sabine Storandt, eds. Web and Wireless Geographical Information Systems. 1st ed. Vol. 13238. Cham: Springer Nature, 2022. https://doi.org/10.1007/978-3-031-06245-2.","mla":"Karimipour, Farid, and Sabine Storandt, editors. Web and Wireless Geographical Information Systems. 1st ed., vol. 13238, Springer Nature, 2022, doi:10.1007/978-3-031-06245-2.","short":"F. Karimipour, S. Storandt, eds., Web and Wireless Geographical Information Systems, 1st ed., Springer Nature, Cham, 2022.","ista":"Karimipour F, Storandt S eds. 2022. Web and Wireless Geographical Information Systems 1st ed., Cham: Springer Nature, 153p.","apa":"Karimipour, F., & Storandt, S. (Eds.). (2022). Web and Wireless Geographical Information Systems (1st ed., Vol. 13238). Cham: Springer Nature. https://doi.org/10.1007/978-3-031-06245-2","ieee":"F. Karimipour and S. Storandt, Eds., Web and Wireless Geographical Information Systems, 1st ed., vol. 13238. Cham: Springer Nature, 2022.","ama":"Karimipour F, Storandt S, eds. Web and Wireless Geographical Information Systems. Vol 13238. 1st ed. Cham: Springer Nature; 2022. doi:10.1007/978-3-031-06245-2"},"language":[{"iso":"eng"}],"date_published":"2022-05-01T00:00:00Z","doi":"10.1007/978-3-031-06245-2","publication_identifier":{"issn":["0302-9743"],"eisbn":["9783031062452"],"isbn":["9783031062445"],"eissn":["1611-3349"]},"article_processing_charge":"No","day":"01","month":"05"},{"month":"01","publication_identifier":{"isbn":["9783030955182"],"eisbn":["9783030955199"]},"doi":"10.1007/978-3-030-95519-9_1","language":[{"iso":"eng"}],"oa":1,"main_file_link":[{"open_access":"1","url":" https://doi.org/10.48550/arXiv.2102.11397"}],"external_id":{"arxiv":["2102.11397"]},"quality_controlled":"1","project":[{"call_identifier":"H2020","name":"Alpha Shape Theory Extended","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425"}],"ec_funded":1,"place":"Cham","author":[{"full_name":"Bleile, Bea","last_name":"Bleile","first_name":"Bea"},{"last_name":"Garin","first_name":"Adélie","full_name":"Garin, Adélie"},{"last_name":"Heiss","first_name":"Teresa","orcid":"0000-0002-1780-2689","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87","full_name":"Heiss, Teresa"},{"first_name":"Kelly","last_name":"Maggs","full_name":"Maggs, Kelly"},{"full_name":"Robins, Vanessa","last_name":"Robins","first_name":"Vanessa"}],"edition":"1","date_updated":"2022-06-07T08:32:42Z","date_created":"2022-06-07T08:21:11Z","volume":30,"acknowledgement":"This project started during the Women in Computational Topology workshop held in Canberra in July of 2019. All authors are very grateful for its organisation and the financial support for the workshop from the Mathematical Sciences Institute at ANU, the US National Science Foundation through the award CCF-1841455, the Australian Mathematical Sciences Institute and the Association for Women in Mathematics. AG is supported by the Swiss National Science Foundation grant CRSII5_177237. TH is supported by the European Research Council (ERC) Horizon 2020 project “Alpha Shape Theory Extended” No. 788183. KM is supported by the ERC Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 859860. VR was supported by Australian Research Council Future Fellowship FT140100604 during the early stages of this project.","year":"2022","publication_status":"published","editor":[{"full_name":"Gasparovic, Ellen","first_name":"Ellen","last_name":"Gasparovic"},{"first_name":"Vanessa","last_name":"Robins","full_name":"Robins, Vanessa"},{"full_name":"Turner, Katharine","last_name":"Turner","first_name":"Katharine"}],"department":[{"_id":"HeEd"}],"publisher":"Springer Nature","day":"27","article_processing_charge":"No","scopus_import":"1","series_title":"AWMS","date_published":"2022-01-27T00:00:00Z","publication":"Research in Computational Topology 2","citation":{"mla":"Bleile, Bea, et al. “The Persistent Homology of Dual Digital Image Constructions.” Research in Computational Topology 2, edited by Ellen Gasparovic et al., 1st ed., vol. 30, Springer Nature, 2022, pp. 1–26, doi:10.1007/978-3-030-95519-9_1.","short":"B. Bleile, A. Garin, T. Heiss, K. Maggs, V. Robins, in:, E. Gasparovic, V. Robins, K. Turner (Eds.), Research in Computational Topology 2, 1st ed., Springer Nature, Cham, 2022, pp. 1–26.","chicago":"Bleile, Bea, Adélie Garin, Teresa Heiss, Kelly Maggs, and Vanessa Robins. “The Persistent Homology of Dual Digital Image Constructions.” In Research in Computational Topology 2, edited by Ellen Gasparovic, Vanessa Robins, and Katharine Turner, 1st ed., 30:1–26. AWMS. Cham: Springer Nature, 2022. https://doi.org/10.1007/978-3-030-95519-9_1.","ama":"Bleile B, Garin A, Heiss T, Maggs K, Robins V. The persistent homology of dual digital image constructions. In: Gasparovic E, Robins V, Turner K, eds. Research in Computational Topology 2. Vol 30. 1st ed. AWMS. Cham: Springer Nature; 2022:1-26. doi:10.1007/978-3-030-95519-9_1","ista":"Bleile B, Garin A, Heiss T, Maggs K, Robins V. 2022.The persistent homology of dual digital image constructions. In: Research in Computational Topology 2. Association for Women in Mathematics Series, vol. 30, 1–26.","ieee":"B. Bleile, A. Garin, T. Heiss, K. Maggs, and V. Robins, “The persistent homology of dual digital image constructions,” in Research in Computational Topology 2, 1st ed., vol. 30, E. Gasparovic, V. Robins, and K. Turner, Eds. Cham: Springer Nature, 2022, pp. 1–26.","apa":"Bleile, B., Garin, A., Heiss, T., Maggs, K., & Robins, V. (2022). The persistent homology of dual digital image constructions. In E. Gasparovic, V. Robins, & K. Turner (Eds.), Research in Computational Topology 2 (1st ed., Vol. 30, pp. 1–26). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-95519-9_1"},"page":"1-26","abstract":[{"text":"To compute the persistent homology of a grayscale digital image one needs to build a simplicial or cubical complex from it. For cubical complexes, the two commonly used constructions (corresponding to direct and indirect digital adjacencies) can give different results for the same image. The two constructions are almost dual to each other, and we use this relationship to extend and modify the cubical complexes to become dual filtered cell complexes. We derive a general relationship between the persistent homology of two dual filtered cell complexes, and also establish how various modifications to a filtered complex change the persistence diagram. Applying these results to images, we derive a method to transform the persistence diagram computed using one type of cubical complex into a persistence diagram for the other construction. This means software for computing persistent homology from images can now be easily adapted to produce results for either of the two cubical complex constructions without additional low-level code implementation.","lang":"eng"}],"type":"book_chapter","alternative_title":["Association for Women in Mathematics Series"],"oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"11440","title":"The persistent homology of dual digital image constructions","status":"public","intvolume":" 30"},{"author":[{"first_name":"Barbara A.","last_name":"Shipman","full_name":"Shipman, Barbara A."},{"full_name":"Stephenson, Elizabeth R","last_name":"Stephenson","first_name":"Elizabeth R","orcid":"0000-0002-6862-208X","id":"2D04F932-F248-11E8-B48F-1D18A9856A87"}],"date_updated":"2023-01-30T13:02:30Z","date_created":"2023-01-16T10:07:21Z","volume":32,"year":"2022","publication_status":"published","department":[{"_id":"HeEd"},{"_id":"GradSch"}],"publisher":"Taylor & Francis","month":"05","publication_identifier":{"issn":["1051-1970"],"eissn":["1935-4053"]},"doi":"10.1080/10511970.2021.1872750","language":[{"iso":"eng"}],"quality_controlled":"1","abstract":[{"lang":"eng","text":"Point-set topology is among the most abstract branches of mathematics in that it lacks tangible notions of distance, length, magnitude, order, and size. There is no shape, no geometry, no algebra, and no direction. Everything we are used to visualizing is gone. In the teaching and learning of mathematics, this can present a conundrum. Yet, this very property makes point set topology perfect for teaching and learning abstract mathematical concepts. It clears our minds of preconceived intuitions and expectations and forces us to think in new and creative ways. In this paper, we present guided investigations into topology through questions and thinking strategies that open up fascinating problems. They are intended for faculty who already teach or are thinking about teaching a class in topology or abstract mathematical reasoning for undergraduates. They can be used to build simple to challenging projects in topology, proofs, honors programs, and research experiences."}],"issue":"5","type":"journal_article","oa_version":"None","_id":"12307","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":"Tangible topology through the lens of limits","intvolume":" 32","day":"28","article_processing_charge":"No","scopus_import":"1","keyword":["Education","General Mathematics"],"date_published":"2022-05-28T00:00:00Z","publication":"PRIMUS","citation":{"apa":"Shipman, B. A., & Stephenson, E. R. (2022). Tangible topology through the lens of limits. PRIMUS. Taylor & Francis. https://doi.org/10.1080/10511970.2021.1872750","ieee":"B. A. Shipman and E. R. Stephenson, “Tangible topology through the lens of limits,” PRIMUS, vol. 32, no. 5. Taylor & Francis, pp. 593–609, 2022.","ista":"Shipman BA, Stephenson ER. 2022. Tangible topology through the lens of limits. PRIMUS. 32(5), 593–609.","ama":"Shipman BA, Stephenson ER. Tangible topology through the lens of limits. PRIMUS. 2022;32(5):593-609. doi:10.1080/10511970.2021.1872750","chicago":"Shipman, Barbara A., and Elizabeth R Stephenson. “Tangible Topology through the Lens of Limits.” PRIMUS. Taylor & Francis, 2022. https://doi.org/10.1080/10511970.2021.1872750.","short":"B.A. Shipman, E.R. Stephenson, PRIMUS 32 (2022) 593–609.","mla":"Shipman, Barbara A., and Elizabeth R. Stephenson. “Tangible Topology through the Lens of Limits.” PRIMUS, vol. 32, no. 5, Taylor & Francis, 2022, pp. 593–609, doi:10.1080/10511970.2021.1872750."},"article_type":"original","page":"593-609"},{"date_published":"2022-06-01T00:00:00Z","article_type":"original","page":"225-240","publication":"Journal of Graph Algorithms and Applications","citation":{"ama":"Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings. Journal of Graph Algorithms and Applications. 2022;26(2):225-240. doi:10.7155/jgaa.00591","ista":"Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec J, Vogtenhuber B. 2022. On compatible matchings. Journal of Graph Algorithms and Applications. 26(2), 225–240.","apa":"Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D., Pilz, A., … Vogtenhuber, B. (2022). On compatible matchings. Journal of Graph Algorithms and Applications. Brown University. https://doi.org/10.7155/jgaa.00591","ieee":"O. Aichholzer et al., “On compatible matchings,” Journal of Graph Algorithms and Applications, vol. 26, no. 2. Brown University, pp. 225–240, 2022.","mla":"Aichholzer, Oswin, et al. “On Compatible Matchings.” Journal of Graph Algorithms and Applications, vol. 26, no. 2, Brown University, 2022, pp. 225–40, doi:10.7155/jgaa.00591.","short":"O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, Journal of Graph Algorithms and Applications 26 (2022) 225–240.","chicago":"Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible Matchings.” Journal of Graph Algorithms and Applications. Brown University, 2022. https://doi.org/10.7155/jgaa.00591."},"day":"01","has_accepted_license":"1","article_processing_charge":"No","scopus_import":"1","file":[{"file_id":"11940","relation":"main_file","success":1,"checksum":"dc6e255e3558faff924fd9e370886c11","date_updated":"2022-08-22T06:42:42Z","date_created":"2022-08-22T06:42:42Z","access_level":"open_access","file_name":"2022_JourGraphAlgorithmsApplic_Aichholzer.pdf","creator":"dernst","file_size":694538,"content_type":"application/pdf"}],"oa_version":"Published Version","status":"public","title":"On compatible matchings","ddc":["000"],"intvolume":" 26","_id":"11938","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"text":"A matching is compatible to two or more labeled point sets of size n with labels {1, . . . , n} if its straight-line drawing on each of these point sets is crossing-free. We study the maximum number of edges in a matching compatible to two or more labeled point sets in general position in the plane. We show that for any two labeled sets of n points in convex position there exists a compatible matching with ⌊√2n + 1 − 1⌋ edges. More generally, for any ℓ labeled point sets we construct compatible matchings of size Ω(n1/ℓ). As a corresponding upper bound, we use probabilistic arguments to show that for any ℓ given sets of n points there exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1)) edges. Finally, we show that Θ(log n) copies of any set of n points are necessary and sufficient for the existence of labelings of these point sets such that any compatible matching consists only of a single edge.","lang":"eng"}],"issue":"2","type":"journal_article","language":[{"iso":"eng"}],"doi":"10.7155/jgaa.00591","quality_controlled":"1","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"grant_number":"Z00342","_id":"268116B8-B435-11E9-9278-68D0E5697425","name":"The Wittgenstein Prize","call_identifier":"FWF"},{"call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","grant_number":"279307","_id":"2581B60A-B435-11E9-9278-68D0E5697425"},{"name":"Modern Graph Algorithmic Techniques in Formal Verification","call_identifier":"FWF","_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23"},{"grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425","name":"Game Theory","call_identifier":"FWF"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"arxiv":["2101.03928"]},"oa":1,"month":"06","publication_identifier":{"issn":["1526-1719"]},"date_updated":"2023-02-23T13:54:21Z","date_created":"2022-08-21T22:01:56Z","volume":26,"author":[{"full_name":"Aichholzer, Oswin","last_name":"Aichholzer","first_name":"Oswin"},{"last_name":"Arroyo Guevara","first_name":"Alan M","orcid":"0000-0003-2401-8670","id":"3207FDC6-F248-11E8-B48F-1D18A9856A87","full_name":"Arroyo Guevara, Alan M"},{"full_name":"Masárová, Zuzana","first_name":"Zuzana","last_name":"Masárová","id":"45CFE238-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6660-1322"},{"last_name":"Parada","first_name":"Irene","full_name":"Parada, Irene"},{"first_name":"Daniel","last_name":"Perz","full_name":"Perz, Daniel"},{"full_name":"Pilz, Alexander","first_name":"Alexander","last_name":"Pilz"},{"full_name":"Tkadlec, Josef","first_name":"Josef","last_name":"Tkadlec","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1097-9684"},{"full_name":"Vogtenhuber, Birgit","first_name":"Birgit","last_name":"Vogtenhuber"}],"related_material":{"record":[{"id":"9296","relation":"earlier_version","status":"public"}]},"publication_status":"published","publisher":"Brown University","department":[{"_id":"UlWa"},{"_id":"HeEd"},{"_id":"KrCh"}],"acknowledgement":"A.A. funded by the Marie Sklodowska-Curie grant agreement No 754411. Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23 (RiSE).","year":"2022","license":"https://creativecommons.org/licenses/by/4.0/","file_date_updated":"2022-08-22T06:42:42Z","ec_funded":1},{"type":"journal_article","abstract":[{"text":"Isomanifolds are the generalization of isosurfaces to arbitrary dimension and codimension, i.e. manifolds defined as the zero set of some multivariate vector-valued smooth function f : Rd → Rd−n. A natural (and efficient) way to approximate an isomanifold is to consider its Piecewise-Linear (PL) approximation based on a triangulation T of the ambient space Rd. In this paper, we give conditions under which the PL-approximation of an isomanifold is topologically equivalent to the isomanifold. The conditions are easy to satisfy in the sense that they can always be met by taking a sufficiently\r\nfine triangulation T . This contrasts with previous results on the triangulation of manifolds where, in arbitrary dimensions, delicate perturbations are needed to guarantee topological correctness, which leads to strong limitations in practice. We further give a bound on the Fréchet distance between the original isomanifold and its PL-approximation. Finally we show analogous results for the PL-approximation of an isomanifold with boundary.","lang":"eng"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"9649","title":"The topological correctness of PL approximations of isomanifolds","status":"public","ddc":["516"],"intvolume":" 22","oa_version":"Published Version","file":[{"checksum":"f1d372ec3c08ec22e84f8e93e1126b8c","date_created":"2021-07-14T06:44:36Z","date_updated":"2021-07-14T06:44:36Z","relation":"main_file","file_id":"9650","file_size":1455699,"content_type":"application/pdf","creator":"mwintrae","access_level":"open_access","file_name":"Boissonnat-Wintraecken2021_Article_TheTopologicalCorrectnessOfPLA.pdf"}],"scopus_import":"1","day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","publication":"Foundations of Computational Mathematics ","citation":{"ista":"Boissonnat J-D, Wintraecken M. 2022. The topological correctness of PL approximations of isomanifolds. Foundations of Computational Mathematics . 22, 967–1012.","apa":"Boissonnat, J.-D., & Wintraecken, M. (2022). The topological correctness of PL approximations of isomanifolds. Foundations of Computational Mathematics . Springer Nature. https://doi.org/10.1007/s10208-021-09520-0","ieee":"J.-D. Boissonnat and M. Wintraecken, “The topological correctness of PL approximations of isomanifolds,” Foundations of Computational Mathematics , vol. 22. Springer Nature, pp. 967–1012, 2022.","ama":"Boissonnat J-D, Wintraecken M. The topological correctness of PL approximations of isomanifolds. Foundations of Computational Mathematics . 2022;22:967-1012. doi:10.1007/s10208-021-09520-0","chicago":"Boissonnat, Jean-Daniel, and Mathijs Wintraecken. “The Topological Correctness of PL Approximations of Isomanifolds.” Foundations of Computational Mathematics . Springer Nature, 2022. https://doi.org/10.1007/s10208-021-09520-0.","mla":"Boissonnat, Jean-Daniel, and Mathijs Wintraecken. “The Topological Correctness of PL Approximations of Isomanifolds.” Foundations of Computational Mathematics , vol. 22, Springer Nature, 2022, pp. 967–1012, doi:10.1007/s10208-021-09520-0.","short":"J.-D. Boissonnat, M. Wintraecken, Foundations of Computational Mathematics 22 (2022) 967–1012."},"article_type":"original","page":"967-1012","date_published":"2022-01-01T00:00:00Z","file_date_updated":"2021-07-14T06:44:36Z","ec_funded":1,"year":"2022","acknowledgement":"First and foremost, we acknowledge Siargey Kachanovich for discussions. We thank Herbert Edelsbrunner and all members of his group, all former and current members of the Datashape team (formerly known as Geometrica), and André Lieutier for encouragement. We further thank the reviewers of Foundations of Computational Mathematics and the reviewers and program committee of the Symposium on Computational Geometry for their feedback, which improved the exposition.\r\nThis work was funded by the European Research Council under the European Union’s ERC Grant Agreement number 339025 GUDHI (Algorithmic Foundations of Geometric Understanding in Higher Dimensions). This work was also supported by the French government, through the 3IA Côte d’Azur Investments in the Future project managed by the National Research Agency (ANR) with the reference number ANR-19-P3IA-0002. Mathijs Wintraecken also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement no. 754411.","publication_status":"published","department":[{"_id":"HeEd"}],"publisher":"Springer Nature","author":[{"first_name":"Jean-Daniel","last_name":"Boissonnat","full_name":"Boissonnat, Jean-Daniel"},{"orcid":"0000-0002-7472-2220","id":"307CFBC8-F248-11E8-B48F-1D18A9856A87","last_name":"Wintraecken","first_name":"Mathijs","full_name":"Wintraecken, Mathijs"}],"related_material":{"record":[{"id":"7952","relation":"earlier_version","status":"public"}]},"date_created":"2021-07-14T06:44:53Z","date_updated":"2023-08-02T06:49:17Z","volume":22,"month":"0","publication_identifier":{"eissn":["1615-3383"]},"external_id":{"isi":["000673039600001"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"quality_controlled":"1","isi":1,"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"}],"doi":"10.1007/s10208-021-09520-0","language":[{"iso":"eng"}]},{"year":"2022","acknowledgement":"Dedicated to the memory of Hans-Peter Künzi.","publication_status":"published","publisher":"Elsevier","department":[{"_id":"HeEd"}],"author":[{"full_name":"Dikranjan, Dikran","last_name":"Dikranjan","first_name":"Dikran"},{"first_name":"Anna","last_name":"Giordano Bruno","full_name":"Giordano Bruno, Anna"},{"full_name":"Künzi, Hans Peter","first_name":"Hans Peter","last_name":"Künzi"},{"full_name":"Zava, Nicolò","last_name":"Zava","first_name":"Nicolò","orcid":"0000-0001-8686-1888","id":"c8b3499c-7a77-11eb-b046-aa368cbbf2ad"},{"full_name":"Toller, Daniele","last_name":"Toller","first_name":"Daniele"}],"date_created":"2021-12-05T23:01:44Z","date_updated":"2023-08-02T13:33:24Z","volume":309,"article_number":"107916","external_id":{"isi":["000791838800012"]},"isi":1,"quality_controlled":"1","doi":"10.1016/j.topol.2021.107916","language":[{"iso":"eng"}],"month":"03","publication_identifier":{"issn":["0166-8641"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10413","status":"public","title":"Generalized quasi-metric semilattices","intvolume":" 309","oa_version":"None","type":"journal_article","abstract":[{"text":"Motivated by the recent introduction of the intrinsic semilattice entropy, we study generalized quasi-metric semilattices and their categories. We investigate the relationship between these objects and generalized semivaluations, extending Nakamura and Schellekens' approach. Finally, we use this correspondence to compare the intrinsic semilattice entropy and the semigroup entropy induced in particular situations, like sets, torsion abelian groups and vector spaces.","lang":"eng"}],"publication":"Topology and its Applications","citation":{"ama":"Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. Generalized quasi-metric semilattices. Topology and its Applications. 2022;309. doi:10.1016/j.topol.2021.107916","ista":"Dikranjan D, Giordano Bruno A, Künzi HP, Zava N, Toller D. 2022. Generalized quasi-metric semilattices. Topology and its Applications. 309, 107916.","ieee":"D. Dikranjan, A. Giordano Bruno, H. P. Künzi, N. Zava, and D. Toller, “Generalized quasi-metric semilattices,” Topology and its Applications, vol. 309. Elsevier, 2022.","apa":"Dikranjan, D., Giordano Bruno, A., Künzi, H. P., Zava, N., & Toller, D. (2022). Generalized quasi-metric semilattices. Topology and Its Applications. Elsevier. https://doi.org/10.1016/j.topol.2021.107916","mla":"Dikranjan, Dikran, et al. “Generalized Quasi-Metric Semilattices.” Topology and Its Applications, vol. 309, 107916, Elsevier, 2022, doi:10.1016/j.topol.2021.107916.","short":"D. Dikranjan, A. Giordano Bruno, H.P. Künzi, N. Zava, D. Toller, Topology and Its Applications 309 (2022).","chicago":"Dikranjan, Dikran, Anna Giordano Bruno, Hans Peter Künzi, Nicolò Zava, and Daniele Toller. “Generalized Quasi-Metric Semilattices.” Topology and Its Applications. Elsevier, 2022. https://doi.org/10.1016/j.topol.2021.107916."},"article_type":"original","date_published":"2022-03-15T00:00:00Z","scopus_import":"1","day":"15","article_processing_charge":"No"},{"file_date_updated":"2022-08-02T06:07:55Z","date_updated":"2023-08-02T14:31:25Z","date_created":"2022-02-20T23:01:34Z","volume":67,"author":[{"full_name":"Biswas, Ranita","id":"3C2B033E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-5372-7890","first_name":"Ranita","last_name":"Biswas"},{"last_name":"Cultrera Di Montesano","first_name":"Sebastiano","orcid":"0000-0001-6249-0832","id":"34D2A09C-F248-11E8-B48F-1D18A9856A87","full_name":"Cultrera Di Montesano, Sebastiano"},{"full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","first_name":"Herbert","last_name":"Edelsbrunner"},{"full_name":"Saghafian, Morteza","last_name":"Saghafian","first_name":"Morteza"}],"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"HeEd"}],"acknowledgement":"Open access funding provided by the Institute of Science and Technology (IST Austria).","year":"2022","month":"04","publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"language":[{"iso":"eng"}],"doi":"10.1007/s00454-022-00371-2","quality_controlled":"1","isi":1,"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000752175300002"]},"abstract":[{"text":"The Voronoi tessellation in Rd is defined by locally minimizing the power distance to given weighted points. Symmetrically, the Delaunay mosaic can be defined by locally maximizing the negative power distance to other such points. We prove that the average of the two piecewise quadratic functions is piecewise linear, and that all three functions have the same critical points and values. Discretizing the two piecewise quadratic functions, we get the alpha shapes as sublevel sets of the discrete function on the Delaunay mosaic, and analogous shapes as superlevel sets of the discrete function on the Voronoi tessellation. For the same non-critical value, the corresponding shapes are disjoint, separated by a narrow channel that contains no critical points but the entire level set of the piecewise linear function.","lang":"eng"}],"type":"journal_article","file":[{"content_type":"application/pdf","file_size":2518111,"creator":"dernst","access_level":"open_access","file_name":"2022_DiscreteCompGeometry_Biswas.pdf","checksum":"9383d3b70561bacee905e335dc922680","success":1,"date_updated":"2022-08-02T06:07:55Z","date_created":"2022-08-02T06:07:55Z","relation":"main_file","file_id":"11718"}],"oa_version":"Published Version","ddc":["510"],"status":"public","title":"Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics","intvolume":" 67","_id":"10773","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","date_published":"2022-04-01T00:00:00Z","article_type":"original","page":"811-842","publication":"Discrete and Computational Geometry","citation":{"ama":"Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 2022;67:811-842. doi:10.1007/s00454-022-00371-2","ista":"Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2022. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 67, 811–842.","ieee":"R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics,” Discrete and Computational Geometry, vol. 67. Springer Nature, pp. 811–842, 2022.","apa":"Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (2022). Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-022-00371-2","mla":"Biswas, Ranita, et al. “Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics.” Discrete and Computational Geometry, vol. 67, Springer Nature, 2022, pp. 811–42, doi:10.1007/s00454-022-00371-2.","short":"R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Discrete and Computational Geometry 67 (2022) 811–842.","chicago":"Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics.” Discrete and Computational Geometry. Springer Nature, 2022. https://doi.org/10.1007/s00454-022-00371-2."}},{"publication_status":"published","department":[{"_id":"HeEd"}],"publisher":"IEEE","year":"2022","date_created":"2022-03-06T23:01:53Z","date_updated":"2023-08-02T14:44:21Z","author":[{"first_name":"Teresa","last_name":"Heiss","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1780-2689","full_name":"Heiss, Teresa"},{"full_name":"Tymochko, Sarah","first_name":"Sarah","last_name":"Tymochko"},{"full_name":"Story, Brittany","last_name":"Story","first_name":"Brittany"},{"first_name":"Adélie","last_name":"Garin","full_name":"Garin, Adélie"},{"first_name":"Hoa","last_name":"Bui","full_name":"Bui, Hoa"},{"first_name":"Bea","last_name":"Bleile","full_name":"Bleile, Bea"},{"last_name":"Robins","first_name":"Vanessa","full_name":"Robins, Vanessa"}],"isi":1,"quality_controlled":"1","oa":1,"external_id":{"isi":["000800559503126"],"arxiv":["2111.05663"]},"main_file_link":[{"url":"https://arxiv.org/abs/2111.05663","open_access":"1"}],"language":[{"iso":"eng"}],"conference":{"name":"Big Data: International Conference on Big Data","start_date":"2021-12-15","location":"Orlando, FL, United States; Virtuell","end_date":"2021-12-18"},"doi":"10.1109/BigData52589.2021.9671483","month":"01","publication_identifier":{"isbn":["9781665439022"]},"title":"The impact of changes in resolution on the persistent homology of images","status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10828","oa_version":"Preprint","type":"conference","abstract":[{"text":"Digital images enable quantitative analysis of material properties at micro and macro length scales, but choosing an appropriate resolution when acquiring the image is challenging. A high resolution means longer image acquisition and larger data requirements for a given sample, but if the resolution is too low, significant information may be lost. This paper studies the impact of changes in resolution on persistent homology, a tool from topological data analysis that provides a signature of structure in an image across all length scales. Given prior information about a function, the geometry of an object, or its density distribution at a given resolution, we provide methods to select the coarsest resolution yielding results within an acceptable tolerance. We present numerical case studies for an illustrative synthetic example and samples from porous materials where the theoretical bounds are unknown.","lang":"eng"}],"page":"3824-3834","publication":"2021 IEEE International Conference on Big Data","citation":{"ama":"Heiss T, Tymochko S, Story B, et al. The impact of changes in resolution on the persistent homology of images. In: 2021 IEEE International Conference on Big Data. IEEE; 2022:3824-3834. doi:10.1109/BigData52589.2021.9671483","ista":"Heiss T, Tymochko S, Story B, Garin A, Bui H, Bleile B, Robins V. 2022. The impact of changes in resolution on the persistent homology of images. 2021 IEEE International Conference on Big Data. Big Data: International Conference on Big Data, 3824–3834.","ieee":"T. Heiss et al., “The impact of changes in resolution on the persistent homology of images,” in 2021 IEEE International Conference on Big Data, Orlando, FL, United States; Virtuell, 2022, pp. 3824–3834.","apa":"Heiss, T., Tymochko, S., Story, B., Garin, A., Bui, H., Bleile, B., & Robins, V. (2022). The impact of changes in resolution on the persistent homology of images. In 2021 IEEE International Conference on Big Data (pp. 3824–3834). Orlando, FL, United States; Virtuell: IEEE. https://doi.org/10.1109/BigData52589.2021.9671483","mla":"Heiss, Teresa, et al. “The Impact of Changes in Resolution on the Persistent Homology of Images.” 2021 IEEE International Conference on Big Data, IEEE, 2022, pp. 3824–34, doi:10.1109/BigData52589.2021.9671483.","short":"T. Heiss, S. Tymochko, B. Story, A. Garin, H. Bui, B. Bleile, V. Robins, in:, 2021 IEEE International Conference on Big Data, IEEE, 2022, pp. 3824–3834.","chicago":"Heiss, Teresa, Sarah Tymochko, Brittany Story, Adélie Garin, Hoa Bui, Bea Bleile, and Vanessa Robins. “The Impact of Changes in Resolution on the Persistent Homology of Images.” In 2021 IEEE International Conference on Big Data, 3824–34. IEEE, 2022. https://doi.org/10.1109/BigData52589.2021.9671483."},"date_published":"2022-01-13T00:00:00Z","scopus_import":"1","day":"13","article_processing_charge":"No"},{"file_date_updated":"2023-02-02T07:32:48Z","ec_funded":1,"year":"2022","acknowledgement":"We thank Catharina Stroppel and Jens Niklas Eberhardt for interesting discussions. The first author acknowledges the support of the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. The second author is supported by the National Science Foundation Award No. 1803059 and the Australian Research Council grant DP170101579.","publication_status":"published","department":[{"_id":"HeEd"}],"publisher":"Elsevier","author":[{"id":"70B7FDF6-608D-11E9-9333-8535E6697425","first_name":"Adam","last_name":"Brown","full_name":"Brown, Adam"},{"full_name":"Romanov, Anna","first_name":"Anna","last_name":"Romanov"}],"date_updated":"2023-08-03T11:56:30Z","date_created":"2022-07-08T11:40:07Z","volume":609,"month":"11","publication_identifier":{"issn":["0021-8693"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"external_id":{"isi":["000861841100004"]},"isi":1,"quality_controlled":"1","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"}],"doi":"10.1016/j.jalgebra.2022.06.017","language":[{"iso":"eng"}],"type":"journal_article","abstract":[{"lang":"eng","text":"We classify contravariant pairings between standard Whittaker modules and Verma modules over a complex semisimple Lie algebra. These contravariant pairings are useful in extending several classical techniques for category O to the Miličić–Soergel category N . We introduce a class of costandard modules which generalize dual Verma modules, and describe canonical maps from standard to costandard modules in terms of contravariant pairings.\r\nWe show that costandard modules have unique irreducible submodules and share the same composition factors as the corresponding standard Whittaker modules. We show that costandard modules give an algebraic characterization of the global sections of costandard twisted Harish-Chandra sheaves on the associated flag variety, which are defined using holonomic duality of D-modules. We prove that with these costandard modules, blocks of category\r\nN have the structure of highest weight categories and we establish a BGG reciprocity theorem for N ."}],"issue":"11","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"11545","title":"Contravariant pairings between standard Whittaker modules and Verma modules","status":"public","ddc":["510"],"intvolume":" 609","file":[{"content_type":"application/pdf","file_size":582962,"creator":"dernst","access_level":"open_access","file_name":"2022_JournalAlgebra_Brown.pdf","checksum":"82abaee3d7837f703e499a9ecbb25b7c","success":1,"date_updated":"2023-02-02T07:32:48Z","date_created":"2023-02-02T07:32:48Z","relation":"main_file","file_id":"12473"}],"oa_version":"Published Version","scopus_import":"1","keyword":["Algebra and Number Theory"],"day":"01","has_accepted_license":"1","article_processing_charge":"Yes (via OA deal)","publication":"Journal of Algebra","citation":{"chicago":"Brown, Adam, and Anna Romanov. “Contravariant Pairings between Standard Whittaker Modules and Verma Modules.” Journal of Algebra. Elsevier, 2022. https://doi.org/10.1016/j.jalgebra.2022.06.017.","mla":"Brown, Adam, and Anna Romanov. “Contravariant Pairings between Standard Whittaker Modules and Verma Modules.” Journal of Algebra, vol. 609, no. 11, Elsevier, 2022, pp. 145–79, doi:10.1016/j.jalgebra.2022.06.017.","short":"A. Brown, A. Romanov, Journal of Algebra 609 (2022) 145–179.","ista":"Brown A, Romanov A. 2022. Contravariant pairings between standard Whittaker modules and Verma modules. Journal of Algebra. 609(11), 145–179.","apa":"Brown, A., & Romanov, A. (2022). Contravariant pairings between standard Whittaker modules and Verma modules. Journal of Algebra. Elsevier. https://doi.org/10.1016/j.jalgebra.2022.06.017","ieee":"A. Brown and A. Romanov, “Contravariant pairings between standard Whittaker modules and Verma modules,” Journal of Algebra, vol. 609, no. 11. Elsevier, pp. 145–179, 2022.","ama":"Brown A, Romanov A. Contravariant pairings between standard Whittaker modules and Verma modules. Journal of Algebra. 2022;609(11):145-179. doi:10.1016/j.jalgebra.2022.06.017"},"article_type":"original","page":"145-179","date_published":"2022-11-01T00:00:00Z"},{"day":"01","has_accepted_license":"1","article_processing_charge":"Yes","scopus_import":"1","date_published":"2022-02-01T00:00:00Z","publication":"International Journal of Molecular Sciences","citation":{"ama":"Chang Y, Funk M, Roy S, et al. Developing a mathematical model of intracellular Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010 in esophageal cancer. International Journal of Molecular Sciences. 2022;23(3). doi:10.3390/ijms23031763","ista":"Chang Y, Funk M, Roy S, Stephenson ER, Choi S, Kojouharov HV, Chen B, Pan Z. 2022. Developing a mathematical model of intracellular Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010 in esophageal cancer. International Journal of Molecular Sciences. 23(3), 1763.","ieee":"Y. Chang et al., “Developing a mathematical model of intracellular Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010 in esophageal cancer,” International Journal of Molecular Sciences, vol. 23, no. 3. MDPI, 2022.","apa":"Chang, Y., Funk, M., Roy, S., Stephenson, E. R., Choi, S., Kojouharov, H. V., … Pan, Z. (2022). Developing a mathematical model of intracellular Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010 in esophageal cancer. International Journal of Molecular Sciences. MDPI. https://doi.org/10.3390/ijms23031763","mla":"Chang, Yan, et al. “Developing a Mathematical Model of Intracellular Calcium Dynamics for Evaluating Combined Anticancer Effects of Afatinib and RP4010 in Esophageal Cancer.” International Journal of Molecular Sciences, vol. 23, no. 3, 1763, MDPI, 2022, doi:10.3390/ijms23031763.","short":"Y. Chang, M. Funk, S. Roy, E.R. Stephenson, S. Choi, H.V. Kojouharov, B. Chen, Z. Pan, International Journal of Molecular Sciences 23 (2022).","chicago":"Chang, Yan, Marah Funk, Souvik Roy, Elizabeth R Stephenson, Sangyong Choi, Hristo V. Kojouharov, Benito Chen, and Zui Pan. “Developing a Mathematical Model of Intracellular Calcium Dynamics for Evaluating Combined Anticancer Effects of Afatinib and RP4010 in Esophageal Cancer.” International Journal of Molecular Sciences. MDPI, 2022. https://doi.org/10.3390/ijms23031763."},"article_type":"original","abstract":[{"lang":"eng","text":"Targeting dysregulated Ca2+ signaling in cancer cells is an emerging chemotherapy approach. We previously reported that store-operated Ca2+ entry (SOCE) blockers, such as RP4010, are promising antitumor drugs for esophageal cancer. As a tyrosine kinase inhibitor (TKI), afatinib received FDA approval to be used in targeted therapy for patients with EGFR mutation-positive cancers. While preclinical studies and clinical trials have shown that afatinib has benefits for esophageal cancer patients, it is not known whether a combination of afatinib and RP4010 could achieve better anticancer effects. Since TKI can alter intracellular Ca2+ dynamics through EGFR/phospholipase C-γ pathway, in this study, we evaluated the inhibitory effect of afatinib and RP4010 on intracellular Ca2+ oscillations in KYSE-150, a human esophageal squamous cell carcinoma cell line, using both experimental and mathematical simulations. Our mathematical simulation of Ca2+ oscillations could fit well with experimental data responding to afatinib or RP4010, both separately or in combination. Guided by simulation, we were able to identify a proper ratio of afatinib and RP4010 for combined treatment, and such a combination presented synergistic anticancer-effect evidence by experimental measurement of intracellular Ca2+ and cell proliferation. This intracellular Ca2+ dynamic-based mathematical simulation approach could be useful for a rapid and cost-effective evaluation of combined targeting therapy drugs."}],"issue":"3","type":"journal_article","oa_version":"Published Version","file":[{"access_level":"open_access","file_name":"2022_IJMS_Chang.pdf","creator":"dernst","file_size":24416183,"content_type":"application/pdf","file_id":"10756","relation":"main_file","success":1,"checksum":"8890ad20c54e90dc58ad5ea97c902998","date_updated":"2022-02-14T07:46:30Z","date_created":"2022-02-14T07:46:30Z"}],"user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"10754","status":"public","title":"Developing a mathematical model of intracellular Calcium dynamics for evaluating combined anticancer effects of afatinib and RP4010 in esophageal cancer","ddc":["510","576"],"intvolume":" 23","month":"02","publication_identifier":{"eissn":["14220067"],"issn":["16616596"]},"doi":"10.3390/ijms23031763","language":[{"iso":"eng"}],"oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"external_id":{"isi":["000754773500001"]},"quality_controlled":"1","isi":1,"file_date_updated":"2022-02-14T07:46:30Z","article_number":"1763","author":[{"full_name":"Chang, Yan","first_name":"Yan","last_name":"Chang"},{"full_name":"Funk, Marah","last_name":"Funk","first_name":"Marah"},{"full_name":"Roy, Souvik","first_name":"Souvik","last_name":"Roy"},{"full_name":"Stephenson, Elizabeth R","id":"2D04F932-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6862-208X","first_name":"Elizabeth R","last_name":"Stephenson"},{"full_name":"Choi, Sangyong","last_name":"Choi","first_name":"Sangyong"},{"first_name":"Hristo V.","last_name":"Kojouharov","full_name":"Kojouharov, Hristo V."},{"last_name":"Chen","first_name":"Benito","full_name":"Chen, Benito"},{"full_name":"Pan, Zui","first_name":"Zui","last_name":"Pan"}],"date_updated":"2023-08-09T10:17:07Z","date_created":"2022-02-13T23:01:35Z","volume":23,"acknowledgement":"This work was partially supported by grants from National Institutes of Health (NIH) (R01 CA185055, S10OD0252300) and The University of Texas System STARs Award (to Z.P.),\r\nThe University of Texas at Arlington Interdisciplinary Research Program (to B.C., H.V.K. and Z.P.). ","year":"2022","publication_status":"published","department":[{"_id":"HeEd"}],"publisher":"MDPI"},{"type":"journal_article","abstract":[{"lang":"eng","text":"Extending a result of Milena Radnovic and Serge Tabachnikov, we establish conditionsfor two different non-symmetric norms to define the same billiard reflection law."}],"issue":"4","title":"When different norms lead to same billiard trajectories?","status":"public","ddc":["510"],"intvolume":" 8","user_id":"3E5EF7F0-F248-11E8-B48F-1D18A9856A87","_id":"7791","oa_version":"Published Version","file":[{"file_size":263926,"content_type":"application/pdf","creator":"dernst","access_level":"open_access","file_name":"2020_EuropMathematics_Akopyan.pdf","checksum":"f53e71fd03744075adcd0b8fc1b8423d","date_updated":"2020-07-14T12:48:03Z","date_created":"2020-05-04T10:33:42Z","relation":"main_file","file_id":"7796"}],"scopus_import":"1","day":"01","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","article_type":"original","page":"1309 - 1312","publication":"European Journal of Mathematics","citation":{"short":"A. Akopyan, R. Karasev, European Journal of Mathematics 8 (2022) 1309–1312.","mla":"Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same Billiard Trajectories?” European Journal of Mathematics, vol. 8, no. 4, Springer Nature, 2022, pp. 1309–12, doi:10.1007/s40879-020-00405-0.","chicago":"Akopyan, Arseniy, and Roman Karasev. “When Different Norms Lead to Same Billiard Trajectories?” European Journal of Mathematics. Springer Nature, 2022. https://doi.org/10.1007/s40879-020-00405-0.","ama":"Akopyan A, Karasev R. When different norms lead to same billiard trajectories? European Journal of Mathematics. 2022;8(4):1309-1312. doi:10.1007/s40879-020-00405-0","apa":"Akopyan, A., & Karasev, R. (2022). When different norms lead to same billiard trajectories? European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-020-00405-0","ieee":"A. Akopyan and R. Karasev, “When different norms lead to same billiard trajectories?,” European Journal of Mathematics, vol. 8, no. 4. Springer Nature, pp. 1309–1312, 2022.","ista":"Akopyan A, Karasev R. 2022. When different norms lead to same billiard trajectories? European Journal of Mathematics. 8(4), 1309–1312."},"date_published":"2022-12-01T00:00:00Z","file_date_updated":"2020-07-14T12:48:03Z","ec_funded":1,"publication_status":"published","publisher":"Springer Nature","department":[{"_id":"HeEd"}],"year":"2022","acknowledgement":"AA was supported by European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 78818 Alpha). RK was supported by the Federal professorship program Grant 1.456.2016/1.4 and the Russian Foundation for Basic Research Grants 18-01-00036 and 19-01-00169. Open access funding provided by Institute of Science and Technology (IST Austria). The authors thank Alexey Balitskiy, Milena Radnović, and Serge Tabachnikov for useful discussions.","date_created":"2020-05-03T22:00:48Z","date_updated":"2024-02-22T15:58:42Z","volume":8,"author":[{"id":"430D2C90-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2548-617X","first_name":"Arseniy","last_name":"Akopyan","full_name":"Akopyan, Arseniy"},{"first_name":"Roman","last_name":"Karasev","full_name":"Karasev, Roman"}],"month":"12","publication_identifier":{"issn":["2199-675X"],"eissn":["2199-6768"]},"quality_controlled":"1","project":[{"call_identifier":"H2020","name":"Alpha Shape Theory Extended","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"external_id":{"arxiv":["1912.12685"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s40879-020-00405-0"},{"month":"07","language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"project":[{"grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Alpha Shape Theory Extended"},{"call_identifier":"FWF","name":"The Wittgenstein Prize","_id":"268116B8-B435-11E9-9278-68D0E5697425","grant_number":"Z00342"},{"_id":"2561EBF4-B435-11E9-9278-68D0E5697425","grant_number":"I02979-N35","call_identifier":"FWF","name":"Persistence and stability of geometric complexes"}],"quality_controlled":"1","ec_funded":1,"file_date_updated":"2022-07-27T09:30:30Z","related_material":{"record":[{"id":"15094","relation":"dissertation_contains","status":"public"}]},"author":[{"last_name":"Biswas","first_name":"Ranita","orcid":"0000-0002-5372-7890","id":"3C2B033E-F248-11E8-B48F-1D18A9856A87","full_name":"Biswas, Ranita"},{"full_name":"Cultrera di Montesano, Sebastiano","last_name":"Cultrera di Montesano","first_name":"Sebastiano","orcid":"0000-0001-6249-0832","id":"34D2A09C-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","first_name":"Herbert","last_name":"Edelsbrunner"},{"full_name":"Saghafian, Morteza","first_name":"Morteza","last_name":"Saghafian"}],"date_created":"2022-07-27T09:31:15Z","date_updated":"2024-03-20T09:36:56Z","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, grant no. 788183, from the Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31, and from the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund (FWF), grant no. I 02979-N35. ","year":"2022","publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","department":[{"_id":"GradSch"},{"_id":"HeEd"}],"publication_status":"submitted","has_accepted_license":"1","article_processing_charge":"No","day":"25","date_published":"2022-07-25T00:00:00Z","citation":{"chicago":"Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “A Window to the Persistence of 1D Maps. I: Geometric Characterization of Critical Point Pairs.” LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, n.d.","short":"R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, LIPIcs (n.d.).","mla":"Biswas, Ranita, et al. “A Window to the Persistence of 1D Maps. I: Geometric Characterization of Critical Point Pairs.” LIPIcs, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.","apa":"Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (n.d.). A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.","ieee":"R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs,” LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.","ista":"Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs. LIPIcs.","ama":"Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs. LIPIcs."},"publication":"LIPIcs","abstract":[{"lang":"eng","text":"We characterize critical points of 1-dimensional maps paired in persistent homology geometrically and this way get elementary proofs of theorems about the symmetry of persistence diagrams and the variation of such maps. In particular, we identify branching points and endpoints of networks as the sole source of asymmetry and relate the cycle basis in persistent homology with a version of the stable marriage problem. Our analysis provides the foundations of fast algorithms for maintaining collections of interrelated sorted lists together with their persistence diagrams. "}],"type":"journal_article","alternative_title":["LIPIcs"],"oa_version":"Submitted Version","file":[{"file_name":"window 1.pdf","access_level":"open_access","file_size":564836,"content_type":"application/pdf","creator":"scultrer","relation":"main_file","file_id":"11661","date_updated":"2022-07-27T09:30:30Z","date_created":"2022-07-27T09:30:30Z","checksum":"95903f9d1649e8e437a967b6f2f64730"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"11660","status":"public","title":"A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs","ddc":["510"]},{"date_created":"2022-07-27T09:27:34Z","date_updated":"2024-03-20T09:36:56Z","author":[{"full_name":"Biswas, Ranita","last_name":"Biswas","first_name":"Ranita","orcid":"0000-0002-5372-7890","id":"3C2B033E-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Cultrera di Montesano","first_name":"Sebastiano","orcid":"0000-0001-6249-0832","id":"34D2A09C-F248-11E8-B48F-1D18A9856A87","full_name":"Cultrera di Montesano, Sebastiano"},{"last_name":"Edelsbrunner","first_name":"Herbert","orcid":"0000-0002-9823-6833","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"first_name":"Morteza","last_name":"Saghafian","id":"f86f7148-b140-11ec-9577-95435b8df824","full_name":"Saghafian, Morteza"}],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"15094"}]},"publication_status":"submitted","department":[{"_id":"GradSch"},{"_id":"HeEd"}],"publisher":"Schloss Dagstuhl - Leibniz Zentrum für Informatik","year":"2022","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, grant no. 788183, from the Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31, and from the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund (FWF), grant no. I 02979-N35.","file_date_updated":"2022-07-27T09:25:53Z","ec_funded":1,"language":[{"iso":"eng"}],"quality_controlled":"1","project":[{"name":"Alpha Shape Theory Extended","call_identifier":"H2020","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425"},{"grant_number":"Z00342","_id":"268116B8-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"The Wittgenstein Prize"},{"_id":"2561EBF4-B435-11E9-9278-68D0E5697425","grant_number":"I02979-N35","call_identifier":"FWF","name":"Persistence and stability of geometric complexes"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"month":"07","oa_version":"Submitted Version","file":[{"access_level":"open_access","file_name":"D-S-E.pdf","file_size":639266,"content_type":"application/pdf","creator":"scultrer","relation":"main_file","file_id":"11659","checksum":"b2f511e8b1cae5f1892b0cdec341acac","date_created":"2022-07-27T09:25:53Z","date_updated":"2022-07-27T09:25:53Z"}],"ddc":["510"],"status":"public","title":"Depth in arrangements: Dehn–Sommerville–Euler relations with applications","_id":"11658","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","abstract":[{"lang":"eng","text":"The depth of a cell in an arrangement of n (non-vertical) great-spheres in Sd is the number of great-spheres that pass above the cell. We prove Euler-type relations, which imply extensions of the classic Dehn–Sommerville relations for convex polytopes to sublevel sets of the depth function, and we use the relations to extend the expressions for the number of faces of neighborly polytopes to the number of cells of levels in neighborly arrangements."}],"type":"journal_article","date_published":"2022-07-27T00:00:00Z","publication":"Leibniz International Proceedings on Mathematics","citation":{"ista":"Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics.","apa":"Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian, M. (n.d.). Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz Zentrum für Informatik.","ieee":"R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz Zentrum für Informatik.","ama":"Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics.","chicago":"Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner, and Morteza Saghafian. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz Zentrum für Informatik, n.d.","mla":"Biswas, Ranita, et al. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Leibniz International Proceedings on Mathematics, Schloss Dagstuhl - Leibniz Zentrum für Informatik.","short":"R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Leibniz International Proceedings on Mathematics (n.d.)."},"day":"27","has_accepted_license":"1","article_processing_charge":"No"},{"oa_version":"Preprint","date_updated":"2024-03-20T09:36:56Z","date_created":"2024-03-08T09:54:20Z","related_material":{"record":[{"id":"15094","relation":"dissertation_contains","status":"public"}]},"author":[{"full_name":"Biswas, Ranita","id":"3C2B033E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-5372-7890","first_name":"Ranita","last_name":"Biswas"},{"full_name":"Cultrera di Montesano, Sebastiano","last_name":"Cultrera di Montesano","first_name":"Sebastiano","orcid":"0000-0001-6249-0832","id":"34D2A09C-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Ondrej","last_name":"Draganov","id":"2B23F01E-F248-11E8-B48F-1D18A9856A87","full_name":"Draganov, Ondrej"},{"first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert"},{"id":"f86f7148-b140-11ec-9577-95435b8df824","last_name":"Saghafian","first_name":"Morteza","full_name":"Saghafian, Morteza"}],"department":[{"_id":"HeEd"}],"status":"public","title":"On the size of chromatic Delaunay mosaics","publication_status":"submitted","_id":"15090","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","year":"2022","ec_funded":1,"abstract":[{"lang":"eng","text":"Given a locally finite set A⊆Rd and a coloring χ:A→{0,1,…,s}, we introduce the chromatic Delaunay mosaic of χ, which is a Delaunay mosaic in Rs+d that represents how points of different colors mingle. Our main results are bounds on the size of the chromatic Delaunay mosaic, in which we assume that d and s are constants. For example, if A is finite with n=#A, and the coloring is random, then the chromatic Delaunay mosaic has O(n⌈d/2⌉) cells in expectation. In contrast, for Delone sets and Poisson point processes in Rd, the expected number of cells within a closed ball is only a constant times the number of points in this ball. Furthermore, in R2 all colorings of a dense set of n points have chromatic Delaunay mosaics of size O(n). This encourages the use of chromatic Delaunay mosaics in applications."}],"type":"preprint","article_number":"2212.03121","language":[{"iso":"eng"}],"date_published":"2022-12-06T00:00:00Z","project":[{"name":"Alpha Shape Theory Extended","call_identifier":"H2020","grant_number":"788183","_id":"266A2E9E-B435-11E9-9278-68D0E5697425"},{"grant_number":"I4887","_id":"0aa4bc98-070f-11eb-9043-e6fff9c6a316","name":"Discretization in Geometry and Dynamics"},{"_id":"268116B8-B435-11E9-9278-68D0E5697425","grant_number":"Z00342","name":"The Wittgenstein Prize","call_identifier":"FWF"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2212.03121"}],"citation":{"ista":"Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv, 2212.03121.","ieee":"R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” arXiv. .","apa":"Biswas, R., Cultrera di Montesano, S., Draganov, O., Edelsbrunner, H., & Saghafian, M. (n.d.). On the size of chromatic Delaunay mosaics. arXiv.","ama":"Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv.","chicago":"Biswas, Ranita, Sebastiano Cultrera di Montesano, Ondrej Draganov, Herbert Edelsbrunner, and Morteza Saghafian. “On the Size of Chromatic Delaunay Mosaics.” ArXiv, n.d.","mla":"Biswas, Ranita, et al. “On the Size of Chromatic Delaunay Mosaics.” ArXiv, 2212.03121.","short":"R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, M. Saghafian, ArXiv (n.d.)."},"external_id":{"arxiv":["2212.03121"]},"oa":1,"publication":"arXiv","article_processing_charge":"No","month":"12","day":"06"},{"publication_identifier":{"eissn":["1868-5145"],"issn":["1868-5137"]},"month":"05","language":[{"iso":"eng"}],"doi":"10.1007/s12652-021-03569-z","project":[{"name":"The Wittgenstein Prize","call_identifier":"FWF","grant_number":"Z00342","_id":"268116B8-B435-11E9-9278-68D0E5697425"}],"isi":1,"quality_controlled":"1","external_id":{"isi":["000712198000001"]},"oa":1,"file_date_updated":"2022-12-20T23:30:08Z","volume":13,"date_created":"2021-11-02T09:28:55Z","date_updated":"2023-08-02T13:31:48Z","author":[{"first_name":"Samira","last_name":"Goudarzi","full_name":"Goudarzi, Samira"},{"full_name":"Sharif, Mohammad","first_name":"Mohammad","last_name":"Sharif"},{"first_name":"Farid","last_name":"Karimipour","id":"2A2BCDC4-CF62-11E9-BE5E-3B1EE6697425","orcid":"0000-0001-6746-4174","full_name":"Karimipour, Farid"}],"department":[{"_id":"HeEd"}],"publisher":"Springer Nature","publication_status":"published","year":"2022","acknowledgement":"The third author acknowledges the funding received from the Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31.","article_processing_charge":"No","has_accepted_license":"1","day":"01","keyword":["general computer science"],"scopus_import":"1","date_published":"2022-05-01T00:00:00Z","page":"2621–2635","article_type":"original","citation":{"ieee":"S. Goudarzi, M. Sharif, and F. Karimipour, “A context-aware dimension reduction framework for trajectory and health signal analyses,” Journal of Ambient Intelligence and Humanized Computing, vol. 13. Springer Nature, pp. 2621–2635, 2022.","apa":"Goudarzi, S., Sharif, M., & Karimipour, F. (2022). A context-aware dimension reduction framework for trajectory and health signal analyses. Journal of Ambient Intelligence and Humanized Computing. Springer Nature. https://doi.org/10.1007/s12652-021-03569-z","ista":"Goudarzi S, Sharif M, Karimipour F. 2022. A context-aware dimension reduction framework for trajectory and health signal analyses. Journal of Ambient Intelligence and Humanized Computing. 13, 2621–2635.","ama":"Goudarzi S, Sharif M, Karimipour F. A context-aware dimension reduction framework for trajectory and health signal analyses. Journal of Ambient Intelligence and Humanized Computing. 2022;13:2621–2635. doi:10.1007/s12652-021-03569-z","chicago":"Goudarzi, Samira, Mohammad Sharif, and Farid Karimipour. “A Context-Aware Dimension Reduction Framework for Trajectory and Health Signal Analyses.” Journal of Ambient Intelligence and Humanized Computing. Springer Nature, 2022. https://doi.org/10.1007/s12652-021-03569-z.","short":"S. Goudarzi, M. Sharif, F. Karimipour, Journal of Ambient Intelligence and Humanized Computing 13 (2022) 2621–2635.","mla":"Goudarzi, Samira, et al. “A Context-Aware Dimension Reduction Framework for Trajectory and Health Signal Analyses.” Journal of Ambient Intelligence and Humanized Computing, vol. 13, Springer Nature, 2022, pp. 2621–2635, doi:10.1007/s12652-021-03569-z."},"publication":"Journal of Ambient Intelligence and Humanized Computing","abstract":[{"lang":"eng","text":"It is practical to collect a huge amount of movement data and environmental context information along with the health signals of individuals because there is the emergence of new generations of positioning and tracking technologies and rapid advancements of health sensors. The study of the relations between these datasets and their sequence similarity analysis is of interest to many applications such as health monitoring and recommender systems. However, entering all movement parameters and health signals can lead to the complexity of the problem and an increase in its computational load. In this situation, dimension reduction techniques can be used to avoid consideration of simultaneous dependent parameters in the process of similarity measurement of the trajectories. The present study provides a framework, named CaDRAW, to use spatial–temporal data and movement parameters along with independent context information in the process of measuring the similarity of trajectories. In this regard, the omission of dependent movement characteristic signals is conducted by using an unsupervised feature selection dimension reduction technique. To evaluate the effectiveness of the proposed framework, it was applied to a real contextualized movement and related health signal datasets of individuals. The results indicated the capability of the proposed framework in measuring the similarity and in decreasing the characteristic signals in such a way that the similarity results -before and after reduction of dependent characteristic signals- have small differences. The mean differences between the obtained results before and after reducing the dimension were 0.029 and 0.023 for the round path, respectively."}],"type":"journal_article","file":[{"access_level":"open_access","file_name":"A Context‑aware Dimension Reduction Framework - Journal of Ambient Intelligence 2021 (Preprint version).pdf","file_size":1634958,"content_type":"application/pdf","creator":"fkarimip","relation":"main_file","file_id":"10279","embargo":"2022-11-12","checksum":"0a8961416a9bb2be5a1cebda65468bcf","date_updated":"2022-12-20T23:30:08Z","date_created":"2021-11-12T19:38:05Z"}],"oa_version":"Submitted Version","intvolume":" 13","ddc":["000"],"status":"public","title":"A context-aware dimension reduction framework for trajectory and health signal analyses","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","_id":"10208"},{"_id":"10071","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","intvolume":" 68","status":"public","title":"How to tutorial-a-thon","oa_version":"Published Version","type":"journal_article","alternative_title":["Early Career"],"issue":"9","citation":{"ama":"Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. 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Ziegelmeier, Notices of the American Mathematical Society 68 (2021) 1511–1514.","mla":"Adams, Henry, et al. “How to Tutorial-a-Thon.” Notices of the American Mathematical Society, vol. 68, no. 9, American Mathematical Society, 2021, pp. 1511–14, doi:10.1090/noti2349.","chicago":"Adams, Henry, Hana Kourimska, Teresa Heiss, Sarah Percival, and Lori Ziegelmeier. “How to Tutorial-a-Thon.” Notices of the American Mathematical Society. American Mathematical Society, 2021. https://doi.org/10.1090/noti2349."},"publication":"Notices of the American Mathematical Society","page":"1511-1514","article_type":"letter_note","date_published":"2021-10-01T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"01","year":"2021","publisher":"American Mathematical Society","department":[{"_id":"HeEd"}],"publication_status":"published","author":[{"full_name":"Adams, Henry","first_name":"Henry","last_name":"Adams"},{"first_name":"Hana","last_name":"Kourimska","id":"D9B8E14C-3C26-11EA-98F5-1F833DDC885E","full_name":"Kourimska, Hana"},{"full_name":"Heiss, Teresa","first_name":"Teresa","last_name":"Heiss","id":"4879BB4E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1780-2689"},{"full_name":"Percival, Sarah","first_name":"Sarah","last_name":"Percival"},{"first_name":"Lori","last_name":"Ziegelmeier","full_name":"Ziegelmeier, Lori"}],"volume":68,"date_created":"2021-10-03T22:01:22Z","date_updated":"2021-12-03T07:31:26Z","oa":1,"main_file_link":[{"open_access":"1","url":"http://www.ams.org/notices/"}],"quality_controlled":"1","doi":"10.1090/noti2349","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1088-9477"],"issn":["0002-9920"]},"month":"10"},{"month":"08","publication_identifier":{"isbn":["9-781-9540-8557-2"]},"quality_controlled":"1","oa":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"main_file_link":[{"url":"https://aclanthology.org/2021.acl-tutorials.6/","open_access":"1"}],"language":[{"iso":"eng"}],"conference":{"end_date":"2021-08-06","location":"Bangkok, Thailand","start_date":"2021-08-01","name":"ACL: Association for Computational Linguistics ; IJCNLP: International Joint Conference on Natural Language Processing"},"doi":"10.18653/v1/2021.acl-tutorials.6","file_date_updated":"2021-11-29T08:41:00Z","publication_status":"published","publisher":"Association for Computational Linguistics","department":[{"_id":"HeEd"}],"year":"2021","acknowledgement":"We would like to thank Abby Schantz, Abe Ittycheriah, Aliaksei Severyn, Allan Heydon, Aly\r\nGrealish, Andrey Vlasov, Arkaitz Zubiaga, Ashwin Kakarla, Chen Sun, Clayton Williams, Cong\r\nYu, Cordelia Schmid, Da-Cheng Juan, Dan Finnie, Dani Valevski, Daniel Rocha, David Price, David Sklar, Devi Krishna, Elena Kochkina, Enrique Alfonseca, Franc¸oise Beaufays, Isabelle Augenstein, Jialu Liu, John Cantwell, John Palowitch, Jordan Boyd-Graber, Lei Shi, Luis Valente, Maria Voitovich, Mehmet Aktuna, Mogan Brown, Mor Naaman, Natalia P, Nidhi Hebbar, Pete Aykroyd, Rahul Sukthankar, Richa Dixit, Steve Pucci, Tania Bedrax-Weiss, Tobias Kaufmann, Tom Boulos, Tu Tsao, Vladimir Chtchetkine, Yair Kurzion, Yifan Xu and Zach Hynes.","date_created":"2021-11-28T23:01:30Z","date_updated":"2022-01-26T14:26:36Z","author":[{"full_name":"Ilharco, Cesar","last_name":"Ilharco","first_name":"Cesar"},{"first_name":"Afsaneh","last_name":"Shirazi","full_name":"Shirazi, Afsaneh"},{"full_name":"Gopalan, Arjun","first_name":"Arjun","last_name":"Gopalan"},{"first_name":"Arsha","last_name":"Nagrani","full_name":"Nagrani, Arsha"},{"last_name":"Bratanič","first_name":"Blaž","full_name":"Bratanič, Blaž"},{"full_name":"Bregler, Chris","first_name":"Chris","last_name":"Bregler"},{"last_name":"Liu","first_name":"Christina","full_name":"Liu, Christina"},{"full_name":"Ferreira, Felipe","first_name":"Felipe","last_name":"Ferreira"},{"first_name":"Gabriek","last_name":"Barcik","full_name":"Barcik, Gabriek"},{"first_name":"Gabriel","last_name":"Ilharco","full_name":"Ilharco, Gabriel"},{"first_name":"Georg F","last_name":"Osang","id":"464B40D6-F248-11E8-B48F-1D18A9856A87","full_name":"Osang, Georg F"},{"first_name":"Jannis","last_name":"Bulian","full_name":"Bulian, Jannis"},{"full_name":"Frank, Jared","last_name":"Frank","first_name":"Jared"},{"full_name":"Smaira, Lucas","last_name":"Smaira","first_name":"Lucas"},{"full_name":"Cao, Qin","last_name":"Cao","first_name":"Qin"},{"last_name":"Marino","first_name":"Ricardo","full_name":"Marino, Ricardo"},{"first_name":"Roma","last_name":"Patel","full_name":"Patel, Roma"},{"first_name":"Thomas","last_name":"Leung","full_name":"Leung, Thomas"},{"last_name":"Imbrasaite","first_name":"Vaiva","full_name":"Imbrasaite, Vaiva"}],"scopus_import":"1","day":"01","article_processing_charge":"No","has_accepted_license":"1","page":"29-30","publication":"59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts","citation":{"chicago":"Ilharco, Cesar, Afsaneh Shirazi, Arjun Gopalan, Arsha Nagrani, Blaž Bratanič, Chris Bregler, Christina Liu, et al. “Recognizing Multimodal Entailment.” In 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts, 29–30. Association for Computational Linguistics, 2021. https://doi.org/10.18653/v1/2021.acl-tutorials.6.","mla":"Ilharco, Cesar, et al. “Recognizing Multimodal Entailment.” 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts, Association for Computational Linguistics, 2021, pp. 29–30, doi:10.18653/v1/2021.acl-tutorials.6.","short":"C. Ilharco, A. Shirazi, A. Gopalan, A. Nagrani, B. Bratanič, C. Bregler, C. Liu, F. Ferreira, G. Barcik, G. Ilharco, G.F. Osang, J. Bulian, J. Frank, L. Smaira, Q. Cao, R. Marino, R. Patel, T. Leung, V. Imbrasaite, in:, 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts, Association for Computational Linguistics, 2021, pp. 29–30.","ista":"Ilharco C, Shirazi A, Gopalan A, Nagrani A, Bratanič B, Bregler C, Liu C, Ferreira F, Barcik G, Ilharco G, Osang GF, Bulian J, Frank J, Smaira L, Cao Q, Marino R, Patel R, Leung T, Imbrasaite V. 2021. Recognizing multimodal entailment. 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts. ACL: Association for Computational Linguistics ; IJCNLP: International Joint Conference on Natural Language Processing, 29–30.","ieee":"C. Ilharco et al., “Recognizing multimodal entailment,” in 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts, Bangkok, Thailand, 2021, pp. 29–30.","apa":"Ilharco, C., Shirazi, A., Gopalan, A., Nagrani, A., Bratanič, B., Bregler, C., … Imbrasaite, V. (2021). Recognizing multimodal entailment. In 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts (pp. 29–30). Bangkok, Thailand: Association for Computational Linguistics. https://doi.org/10.18653/v1/2021.acl-tutorials.6","ama":"Ilharco C, Shirazi A, Gopalan A, et al. Recognizing multimodal entailment. In: 59th Annual Meeting of the Association for Computational Linguistics and the 11th International Joint Conference on Natural Language Processing, Tutorial Abstracts. Association for Computational Linguistics; 2021:29-30. doi:10.18653/v1/2021.acl-tutorials.6"},"date_published":"2021-08-01T00:00:00Z","type":"conference","abstract":[{"text":"How information is created, shared and consumed has changed rapidly in recent decades, in part thanks to new social platforms and technologies on the web. With ever-larger amounts of unstructured and limited labels, organizing and reconciling information from different sources and modalities is a central challenge in machine learning. This cutting-edge tutorial aims to introduce the multimodal entailment task, which can be useful for detecting semantic alignments when a single modality alone does not suffice for a whole content understanding. Starting with a brief overview of natural language processing, computer vision, structured data and neural graph learning, we lay the foundations for the multimodal sections to follow. We then discuss recent multimodal learning literature covering visual, audio and language streams, and explore case studies focusing on tasks which require fine-grained understanding of visual and linguistic semantics question answering, veracity and hatred classification. Finally, we introduce a new dataset for recognizing multimodal entailment, exploring it in a hands-on collaborative section. Overall, this tutorial gives an overview of multimodal learning, introduces a multimodal entailment dataset, and encourages future research in the topic.","lang":"eng"}],"status":"public","ddc":["000"],"title":"Recognizing multimodal entailment","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","_id":"10367","file":[{"access_level":"open_access","file_name":"2021_ACL_Ilharco.pdf","creator":"cchlebak","content_type":"application/pdf","file_size":1227703,"file_id":"10368","relation":"main_file","success":1,"checksum":"b14052a025a6ecf675bdfe51db98c0d7","date_created":"2021-11-29T08:41:00Z","date_updated":"2021-11-29T08:41:00Z"}],"oa_version":"Published Version"},{"language":[{"iso":"eng"}],"doi":"10.1007/s40879-021-00515-3","quality_controlled":"1","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"month":"12","publication_identifier":{"eissn":["2199-6768"],"issn":["2199-675X"]},"date_updated":"2022-01-10T08:36:55Z","date_created":"2022-01-09T23:01:27Z","author":[{"full_name":"Weighill, Thomas","last_name":"Weighill","first_name":"Thomas"},{"last_name":"Yamauchi","first_name":"Takamitsu","full_name":"Yamauchi, Takamitsu"},{"id":"c8b3499c-7a77-11eb-b046-aa368cbbf2ad","last_name":"Zava","first_name":"Nicolò","full_name":"Zava, Nicolò"}],"publication_status":"published","department":[{"_id":"HeEd"}],"publisher":"Springer Nature","acknowledgement":"We would like to thank the referees for their careful reading and the comments that improved our work. The third named author would like to thank the Division of Mathematics, Physics and Earth Sciences of the Graduate School of Science and Engineering of Ehime University and the second named author for hosting his visit in June 2018. Open access funding provided by Institute of Science and Technology (IST Austria).","year":"2021","file_date_updated":"2022-01-10T08:33:22Z","date_published":"2021-12-30T00:00:00Z","article_type":"original","publication":"European Journal of Mathematics","citation":{"ieee":"T. Weighill, T. Yamauchi, and N. Zava, “Coarse infinite-dimensionality of hyperspaces of finite subsets,” European Journal of Mathematics. Springer Nature, 2021.","apa":"Weighill, T., Yamauchi, T., & Zava, N. (2021). Coarse infinite-dimensionality of hyperspaces of finite subsets. European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-021-00515-3","ista":"Weighill T, Yamauchi T, Zava N. 2021. Coarse infinite-dimensionality of hyperspaces of finite subsets. European Journal of Mathematics.","ama":"Weighill T, Yamauchi T, Zava N. Coarse infinite-dimensionality of hyperspaces of finite subsets. European Journal of Mathematics. 2021. doi:10.1007/s40879-021-00515-3","chicago":"Weighill, Thomas, Takamitsu Yamauchi, and Nicolò Zava. “Coarse Infinite-Dimensionality of Hyperspaces of Finite Subsets.” European Journal of Mathematics. Springer Nature, 2021. https://doi.org/10.1007/s40879-021-00515-3.","short":"T. Weighill, T. Yamauchi, N. Zava, European Journal of Mathematics (2021).","mla":"Weighill, Thomas, et al. “Coarse Infinite-Dimensionality of Hyperspaces of Finite Subsets.” European Journal of Mathematics, Springer Nature, 2021, doi:10.1007/s40879-021-00515-3."},"day":"30","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","scopus_import":"1","oa_version":"Published Version","file":[{"file_name":"2021_EuJournalMath_Weighill.pdf","access_level":"open_access","creator":"cchlebak","file_size":384908,"content_type":"application/pdf","file_id":"10610","relation":"main_file","date_created":"2022-01-10T08:33:22Z","date_updated":"2022-01-10T08:33:22Z","success":1,"checksum":"c435dcfa1ad3aadc5cdd7366bc7f4e98"}],"ddc":["500"],"status":"public","title":"Coarse infinite-dimensionality of hyperspaces of finite subsets","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","_id":"10608","abstract":[{"text":"We consider infinite-dimensional properties in coarse geometry for hyperspaces consisting of finite subsets of metric spaces with the Hausdorff metric. We see that several infinite-dimensional properties are preserved by taking the hyperspace of subsets with at most n points. On the other hand, we prove that, if a metric space contains a sequence of long intervals coarsely, then its hyperspace of finite subsets is not coarsely embeddable into any uniformly convex Banach space. As a corollary, the hyperspace of finite subsets of the real line is not coarsely embeddable into any uniformly convex Banach space. It is also shown that every (not necessarily bounded geometry) metric space with straight finite decomposition complexity has metric sparsification property.","lang":"eng"}],"type":"journal_article"},{"oa_version":"Preprint","intvolume":" 12635","title":"On compatible matchings","status":"public","user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","_id":"9296","abstract":[{"lang":"eng","text":" matching is compatible to two or more labeled point sets of size n with labels {1,…,n} if its straight-line drawing on each of these point sets is crossing-free. We study the maximum number of edges in a matching compatible to two or more labeled point sets in general position in the plane. We show that for any two labeled convex sets of n points there exists a compatible matching with ⌊2n−−√⌋ edges. More generally, for any ℓ labeled point sets we construct compatible matchings of size Ω(n1/ℓ) . As a corresponding upper bound, we use probabilistic arguments to show that for any ℓ given sets of n points there exists a labeling of each set such that the largest compatible matching has O(n2/(ℓ+1)) edges. Finally, we show that Θ(logn) copies of any set of n points are necessary and sufficient for the existence of a labeling such that any compatible matching consists only of a single edge."}],"alternative_title":["LNCS"],"type":"conference","date_published":"2021-02-16T00:00:00Z","page":"221-233","citation":{"chicago":"Aichholzer, Oswin, Alan M Arroyo Guevara, Zuzana Masárová, Irene Parada, Daniel Perz, Alexander Pilz, Josef Tkadlec, and Birgit Vogtenhuber. “On Compatible Matchings.” In 15th International Conference on Algorithms and Computation, 12635:221–33. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-68211-8_18.","short":"O. Aichholzer, A.M. Arroyo Guevara, Z. Masárová, I. Parada, D. Perz, A. Pilz, J. Tkadlec, B. Vogtenhuber, in:, 15th International Conference on Algorithms and Computation, Springer Nature, 2021, pp. 221–233.","mla":"Aichholzer, Oswin, et al. “On Compatible Matchings.” 15th International Conference on Algorithms and Computation, vol. 12635, Springer Nature, 2021, pp. 221–33, doi:10.1007/978-3-030-68211-8_18.","apa":"Aichholzer, O., Arroyo Guevara, A. M., Masárová, Z., Parada, I., Perz, D., Pilz, A., … Vogtenhuber, B. (2021). On compatible matchings. In 15th International Conference on Algorithms and Computation (Vol. 12635, pp. 221–233). Yangon, Myanmar: Springer Nature. https://doi.org/10.1007/978-3-030-68211-8_18","ieee":"O. Aichholzer et al., “On compatible matchings,” in 15th International Conference on Algorithms and Computation, Yangon, Myanmar, 2021, vol. 12635, pp. 221–233.","ista":"Aichholzer O, Arroyo Guevara AM, Masárová Z, Parada I, Perz D, Pilz A, Tkadlec J, Vogtenhuber B. 2021. On compatible matchings. 15th International Conference on Algorithms and Computation. WALCOM: Algorithms and Computation, LNCS, vol. 12635, 221–233.","ama":"Aichholzer O, Arroyo Guevara AM, Masárová Z, et al. On compatible matchings. In: 15th International Conference on Algorithms and Computation. Vol 12635. Springer Nature; 2021:221-233. doi:10.1007/978-3-030-68211-8_18"},"publication":"15th International Conference on Algorithms and Computation","article_processing_charge":"No","day":"16","scopus_import":"1","volume":12635,"date_updated":"2023-02-21T16:33:44Z","date_created":"2021-03-28T22:01:41Z","related_material":{"record":[{"status":"public","relation":"later_version","id":"11938"}]},"author":[{"last_name":"Aichholzer","first_name":"Oswin","full_name":"Aichholzer, Oswin"},{"full_name":"Arroyo Guevara, Alan M","id":"3207FDC6-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-2401-8670","first_name":"Alan M","last_name":"Arroyo Guevara"},{"last_name":"Masárová","first_name":"Zuzana","orcid":"0000-0002-6660-1322","id":"45CFE238-F248-11E8-B48F-1D18A9856A87","full_name":"Masárová, Zuzana"},{"full_name":"Parada, Irene","last_name":"Parada","first_name":"Irene"},{"last_name":"Perz","first_name":"Daniel","full_name":"Perz, Daniel"},{"last_name":"Pilz","first_name":"Alexander","full_name":"Pilz, Alexander"},{"full_name":"Tkadlec, Josef","first_name":"Josef","last_name":"Tkadlec","id":"3F24CCC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1097-9684"},{"last_name":"Vogtenhuber","first_name":"Birgit","full_name":"Vogtenhuber, Birgit"}],"publisher":"Springer Nature","department":[{"_id":"UlWa"},{"_id":"HeEd"},{"_id":"KrCh"}],"publication_status":"published","year":"2021","acknowledgement":"A.A. funded by the Marie Skłodowska-Curie grant agreement No. 754411. Z.M. partially funded by Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31. I.P., D.P., and B.V. partially supported by FWF within the collaborative DACH project Arrangements and Drawings as FWF project I 3340-N35. A.P. supported by a Schrödinger fellowship of the FWF: J-3847-N35. J.T. partially supported by ERC Start grant no. (279307: Graph Games), FWF grant no. P23499-N23 and S11407-N23 (RiSE).","ec_funded":1,"language":[{"iso":"eng"}],"doi":"10.1007/978-3-030-68211-8_18","conference":{"name":"WALCOM: Algorithms and Computation","end_date":"2021-03-02","start_date":"2021-02-28","location":"Yangon, Myanmar"},"project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020"},{"name":"The Wittgenstein Prize","call_identifier":"FWF","_id":"268116B8-B435-11E9-9278-68D0E5697425","grant_number":"Z00342"},{"call_identifier":"FP7","name":"Quantitative Graph Games: Theory and Applications","_id":"2581B60A-B435-11E9-9278-68D0E5697425","grant_number":"279307"},{"_id":"2584A770-B435-11E9-9278-68D0E5697425","grant_number":"P 23499-N23","call_identifier":"FWF","name":"Modern Graph Algorithmic Techniques in Formal Verification"},{"grant_number":"S11407","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Game Theory"}],"quality_controlled":"1","external_id":{"arxiv":["2101.03928"]},"oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/2101.03928","open_access":"1"}],"publication_identifier":{"issn":["03029743"],"isbn":["9783030682101"],"eissn":["16113349"]},"month":"02"},{"scopus_import":"1","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","day":"01","citation":{"short":"H. Edelsbrunner, A. Nikitenko, G.F. Osang, Journal of Geometry 112 (2021).","mla":"Edelsbrunner, Herbert, et al. “A Step in the Delaunay Mosaic of Order K.” Journal of Geometry, vol. 112, no. 1, 15, Springer Nature, 2021, doi:10.1007/s00022-021-00577-4.","chicago":"Edelsbrunner, Herbert, Anton Nikitenko, and Georg F Osang. “A Step in the Delaunay Mosaic of Order K.” Journal of Geometry. Springer Nature, 2021. https://doi.org/10.1007/s00022-021-00577-4.","ama":"Edelsbrunner H, Nikitenko A, Osang GF. A step in the Delaunay mosaic of order k. Journal of Geometry. 2021;112(1). doi:10.1007/s00022-021-00577-4","apa":"Edelsbrunner, H., Nikitenko, A., & Osang, G. F. (2021). A step in the Delaunay mosaic of order k. Journal of Geometry. Springer Nature. https://doi.org/10.1007/s00022-021-00577-4","ieee":"H. Edelsbrunner, A. Nikitenko, and G. F. Osang, “A step in the Delaunay mosaic of order k,” Journal of Geometry, vol. 112, no. 1. Springer Nature, 2021.","ista":"Edelsbrunner H, Nikitenko A, Osang GF. 2021. A step in the Delaunay mosaic of order k. Journal of Geometry. 112(1), 15."},"publication":"Journal of Geometry","article_type":"original","date_published":"2021-04-01T00:00:00Z","type":"journal_article","issue":"1","abstract":[{"text":"Given a locally finite set 𝑋⊆ℝ𝑑 and an integer 𝑘≥0, we consider the function 𝐰𝑘:Del𝑘(𝑋)→ℝ on the dual of the order-k Voronoi tessellation, whose sublevel sets generalize the notion of alpha shapes from order-1 to order-k (Edelsbrunner et al. in IEEE Trans Inf Theory IT-29:551–559, 1983; Krasnoshchekov and Polishchuk in Inf Process Lett 114:76–83, 2014). While this function is not necessarily generalized discrete Morse, in the sense of Forman (Adv Math 134:90–145, 1998) and Freij (Discrete Math 309:3821–3829, 2009), we prove that it satisfies similar properties so that its increments can be meaningfully classified into critical and non-critical steps. This result extends to the case of weighted points and sheds light on k-fold covers with balls in Euclidean space.","lang":"eng"}],"_id":"9465","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 112","ddc":["510"],"status":"public","title":"A step in the Delaunay mosaic of order k","file":[{"date_updated":"2021-06-11T13:16:26Z","date_created":"2021-06-11T13:16:26Z","success":1,"checksum":"e52a832f1def52a2b23d21bcc09e646f","file_id":"9544","relation":"main_file","creator":"kschuh","file_size":694706,"content_type":"application/pdf","file_name":"2021_Geometry_Edelsbrunner.pdf","access_level":"open_access"}],"oa_version":"Published Version","publication_identifier":{"issn":["00472468"],"eissn":["14208997"]},"month":"04","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"oa":1,"quality_controlled":"1","doi":"10.1007/s00022-021-00577-4","language":[{"iso":"eng"}],"article_number":"15","file_date_updated":"2021-06-11T13:16:26Z","year":"2021","department":[{"_id":"HeEd"}],"publisher":"Springer Nature","publication_status":"published","author":[{"id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","first_name":"Herbert","last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert"},{"first_name":"Anton","last_name":"Nikitenko","id":"3E4FF1BA-F248-11E8-B48F-1D18A9856A87","full_name":"Nikitenko, Anton"},{"full_name":"Osang, Georg F","first_name":"Georg F","last_name":"Osang","id":"464B40D6-F248-11E8-B48F-1D18A9856A87"}],"volume":112,"date_updated":"2022-05-12T11:41:45Z","date_created":"2021-06-06T22:01:29Z"}]