--- _id: '7991' abstract: - lang: eng text: 'We define and study a discrete process that generalizes the convex-layer decomposition of a planar point set. Our process, which we call homotopic curve shortening (HCS), starts with a closed curve (which might self-intersect) in the presence of a set P⊂ ℝ² of point obstacles, and evolves in discrete steps, where each step consists of (1) taking shortcuts around the obstacles, and (2) reducing the curve to its shortest homotopic equivalent. We find experimentally that, if the initial curve is held fixed and P is chosen to be either a very fine regular grid or a uniformly random point set, then HCS behaves at the limit like the affine curve-shortening flow (ACSF). This connection between HCS and ACSF generalizes the link between "grid peeling" and the ACSF observed by Eppstein et al. (2017), which applied only to convex curves, and which was studied only for regular grids. We prove that HCS satisfies some properties analogous to those of ACSF: HCS is invariant under affine transformations, preserves convexity, and does not increase the total absolute curvature. Furthermore, the number of self-intersections of a curve, or intersections between two curves (appropriately defined), does not increase. Finally, if the initial curve is simple, then the number of inflection points (appropriately defined) does not increase.' alternative_title: - LIPIcs article_number: 12:1 - 12:15 article_processing_charge: No author: - first_name: Sergey full_name: Avvakumov, Sergey id: 3827DAC8-F248-11E8-B48F-1D18A9856A87 last_name: Avvakumov - first_name: Gabriel full_name: Nivasch, Gabriel last_name: Nivasch citation: ama: 'Avvakumov S, Nivasch G. Homotopic curve shortening and the affine curve-shortening flow. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.12' apa: 'Avvakumov, S., & Nivasch, G. (2020). Homotopic curve shortening and the affine curve-shortening flow. In 36th International Symposium on Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.12' chicago: Avvakumov, Sergey, and Gabriel Nivasch. “Homotopic Curve Shortening and the Affine Curve-Shortening Flow.” In 36th International Symposium on Computational Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.12. ieee: S. Avvakumov and G. Nivasch, “Homotopic curve shortening and the affine curve-shortening flow,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164. ista: 'Avvakumov S, Nivasch G. 2020. Homotopic curve shortening and the affine curve-shortening flow. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 12:1-12:15.' mla: Avvakumov, Sergey, and Gabriel Nivasch. “Homotopic Curve Shortening and the Affine Curve-Shortening Flow.” 36th International Symposium on Computational Geometry, vol. 164, 12:1-12:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.12. short: S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-06-26 location: Zürich, Switzerland name: 'SoCG: Symposium on Computational Geometry' start_date: 2020-06-22 date_created: 2020-06-22T09:14:19Z date_published: 2020-06-01T00:00:00Z date_updated: 2021-01-12T08:16:23Z day: '01' ddc: - '510' department: - _id: UlWa doi: 10.4230/LIPIcs.SoCG.2020.12 external_id: arxiv: - '1909.00263' file: - access_level: open_access checksum: 6872df6549142f709fb6354a1b2f2c06 content_type: application/pdf creator: dernst date_created: 2020-06-23T11:13:49Z date_updated: 2020-07-14T12:48:06Z file_id: '8007' file_name: 2020_LIPIcsSoCG_Avvakumov.pdf file_size: 575896 relation: main_file file_date_updated: 2020-07-14T12:48:06Z has_accepted_license: '1' intvolume: ' 164' language: - iso: eng license: https://creativecommons.org/licenses/by/3.0/ month: '06' oa: 1 oa_version: Published Version project: - _id: 26611F5C-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P31312 name: Algorithms for Embeddings and Homotopy Theory publication: 36th International Symposium on Computational Geometry publication_identifier: isbn: - '9783959771436' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Homotopic curve shortening and the affine curve-shortening flow tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode name: Creative Commons Attribution 3.0 Unported (CC BY 3.0) short: CC BY (3.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 164 year: '2020' ... --- _id: '7989' abstract: - lang: eng text: 'We prove general topological Radon-type theorems for sets in ℝ^d, smooth real manifolds or finite dimensional simplicial complexes. Combined with a recent result of Holmsen and Lee, it gives fractional Helly theorem, and consequently the existence of weak ε-nets as well as a (p,q)-theorem. More precisely: Let X be either ℝ^d, smooth real d-manifold, or a finite d-dimensional simplicial complex. Then if F is a finite, intersection-closed family of sets in X such that the ith reduced Betti number (with ℤ₂ coefficients) of any set in F is at most b for every non-negative integer i less or equal to k, then the Radon number of F is bounded in terms of b and X. Here k is the smallest integer larger or equal to d/2 - 1 if X = ℝ^d; k=d-1 if X is a smooth real d-manifold and not a surface, k=0 if X is a surface and k=d if X is a d-dimensional simplicial complex. Using the recent result of the author and Kalai, we manage to prove the following optimal bound on fractional Helly number for families of open sets in a surface: Let F be a finite family of open sets in a surface S such that the intersection of any subfamily of F is either empty, or path-connected. Then the fractional Helly number of F is at most three. This also settles a conjecture of Holmsen, Kim, and Lee about an existence of a (p,q)-theorem for open subsets of a surface.' alternative_title: - LIPIcs article_number: 61:1-61:13 article_processing_charge: No author: - first_name: Zuzana full_name: Patakova, Zuzana id: 48B57058-F248-11E8-B48F-1D18A9856A87 last_name: Patakova orcid: 0000-0002-3975-1683 citation: ama: 'Patakova Z. Bounding radon number via Betti numbers. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.61' apa: 'Patakova, Z. (2020). Bounding radon number via Betti numbers. In 36th International Symposium on Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.61' chicago: Patakova, Zuzana. “Bounding Radon Number via Betti Numbers.” In 36th International Symposium on Computational Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.61. ieee: Z. Patakova, “Bounding radon number via Betti numbers,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164. ista: 'Patakova Z. 2020. Bounding radon number via Betti numbers. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 61:1-61:13.' mla: Patakova, Zuzana. “Bounding Radon Number via Betti Numbers.” 36th International Symposium on Computational Geometry, vol. 164, 61:1-61:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.61. short: Z. Patakova, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-06-26 location: Zürich, Switzerland name: 'SoCG: Symposium on Computational Geometry' start_date: 2020-06-22 date_created: 2020-06-22T09:14:18Z date_published: 2020-06-01T00:00:00Z date_updated: 2021-01-12T08:16:22Z day: '01' ddc: - '510' department: - _id: UlWa doi: 10.4230/LIPIcs.SoCG.2020.61 external_id: arxiv: - '1908.01677' file: - access_level: open_access checksum: d0996ca5f6eb32ce955ce782b4f2afbe content_type: application/pdf creator: dernst date_created: 2020-06-23T06:56:23Z date_updated: 2020-07-14T12:48:06Z file_id: '8005' file_name: 2020_LIPIcsSoCG_Patakova_61.pdf file_size: 645421 relation: main_file file_date_updated: 2020-07-14T12:48:06Z has_accepted_license: '1' intvolume: ' 164' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '06' oa: 1 oa_version: Published Version publication: 36th International Symposium on Computational Geometry publication_identifier: isbn: - '9783959771436' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Bounding radon number via Betti numbers tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 164 year: '2020' ... --- _id: '7992' abstract: - lang: eng text: 'Let K be a convex body in ℝⁿ (i.e., a compact convex set with nonempty interior). Given a point p in the interior of K, a hyperplane h passing through p is called barycentric if p is the barycenter of K ∩ h. In 1961, Grünbaum raised the question whether, for every K, there exists an interior point p through which there are at least n+1 distinct barycentric hyperplanes. Two years later, this was seemingly resolved affirmatively by showing that this is the case if p=p₀ is the point of maximal depth in K. However, while working on a related question, we noticed that one of the auxiliary claims in the proof is incorrect. Here, we provide a counterexample; this re-opens Grünbaum’s question. It follows from known results that for n ≥ 2, there are always at least three distinct barycentric cuts through the point p₀ ∈ K of maximal depth. Using tools related to Morse theory we are able to improve this bound: four distinct barycentric cuts through p₀ are guaranteed if n ≥ 3.' alternative_title: - LIPIcs article_number: 62:1 - 62:16 article_processing_charge: No author: - first_name: Zuzana full_name: Patakova, Zuzana id: 48B57058-F248-11E8-B48F-1D18A9856A87 last_name: Patakova orcid: 0000-0002-3975-1683 - first_name: Martin full_name: Tancer, Martin id: 38AC689C-F248-11E8-B48F-1D18A9856A87 last_name: Tancer orcid: 0000-0002-1191-6714 - first_name: Uli full_name: Wagner, Uli id: 36690CA2-F248-11E8-B48F-1D18A9856A87 last_name: Wagner orcid: 0000-0002-1494-0568 citation: ama: 'Patakova Z, Tancer M, Wagner U. Barycentric cuts through a convex body. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.62' apa: 'Patakova, Z., Tancer, M., & Wagner, U. (2020). Barycentric cuts through a convex body. In 36th International Symposium on Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.62' chicago: Patakova, Zuzana, Martin Tancer, and Uli Wagner. “Barycentric Cuts through a Convex Body.” In 36th International Symposium on Computational Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.62. ieee: Z. Patakova, M. Tancer, and U. Wagner, “Barycentric cuts through a convex body,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164. ista: 'Patakova Z, Tancer M, Wagner U. 2020. Barycentric cuts through a convex body. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 62:1-62:16.' mla: Patakova, Zuzana, et al. “Barycentric Cuts through a Convex Body.” 36th International Symposium on Computational Geometry, vol. 164, 62:1-62:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.62. short: Z. Patakova, M. Tancer, U. Wagner, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-06-26 location: Zürich, Switzerland name: 'SoCG: Symposium on Computational Geometry' start_date: 2020-06-22 date_created: 2020-06-22T09:14:20Z date_published: 2020-06-01T00:00:00Z date_updated: 2021-01-12T08:16:23Z day: '01' ddc: - '510' department: - _id: UlWa doi: 10.4230/LIPIcs.SoCG.2020.62 external_id: arxiv: - '2003.13536' file: - access_level: open_access checksum: ce1c9194139a664fb59d1efdfc88eaae content_type: application/pdf creator: dernst date_created: 2020-06-23T06:45:52Z date_updated: 2020-07-14T12:48:06Z file_id: '8004' file_name: 2020_LIPIcsSoCG_Patakova.pdf file_size: 750318 relation: main_file file_date_updated: 2020-07-14T12:48:06Z has_accepted_license: '1' intvolume: ' 164' language: - iso: eng month: '06' oa: 1 oa_version: Published Version publication: 36th International Symposium on Computational Geometry publication_identifier: isbn: - '9783959771436' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: 1 status: public title: Barycentric cuts through a convex body tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 164 year: '2020' ... --- _id: '7994' abstract: - lang: eng text: In the recent study of crossing numbers, drawings of graphs that can be extended to an arrangement of pseudolines (pseudolinear drawings) have played an important role as they are a natural combinatorial extension of rectilinear (or straight-line) drawings. A characterization of the pseudolinear drawings of K_n was found recently. We extend this characterization to all graphs, by describing the set of minimal forbidden subdrawings for pseudolinear drawings. Our characterization also leads to a polynomial-time algorithm to recognize pseudolinear drawings and construct the pseudolines when it is possible. alternative_title: - LIPIcs article_number: 9:1 - 9:14 article_processing_charge: No author: - first_name: Alan M full_name: Arroyo Guevara, Alan M id: 3207FDC6-F248-11E8-B48F-1D18A9856A87 last_name: Arroyo Guevara orcid: 0000-0003-2401-8670 - first_name: Julien full_name: Bensmail, Julien last_name: Bensmail - first_name: R. full_name: Bruce Richter, R. last_name: Bruce Richter citation: ama: 'Arroyo Guevara AM, Bensmail J, Bruce Richter R. Extending drawings of graphs to arrangements of pseudolines. In: 36th International Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.9' apa: 'Arroyo Guevara, A. M., Bensmail, J., & Bruce Richter, R. (2020). Extending drawings of graphs to arrangements of pseudolines. In 36th International Symposium on Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.9' chicago: Arroyo Guevara, Alan M, Julien Bensmail, and R. Bruce Richter. “Extending Drawings of Graphs to Arrangements of Pseudolines.” In 36th International Symposium on Computational Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.9. ieee: A. M. Arroyo Guevara, J. Bensmail, and R. Bruce Richter, “Extending drawings of graphs to arrangements of pseudolines,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164. ista: 'Arroyo Guevara AM, Bensmail J, Bruce Richter R. 2020. Extending drawings of graphs to arrangements of pseudolines. 36th International Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 9:1-9:14.' mla: Arroyo Guevara, Alan M., et al. “Extending Drawings of Graphs to Arrangements of Pseudolines.” 36th International Symposium on Computational Geometry, vol. 164, 9:1-9:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.9. short: A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. conference: end_date: 2020-06-26 location: Zürich, Switzerland name: 'SoCG: Symposium on Computational Geometry' start_date: 2020-06-22 date_created: 2020-06-22T09:14:21Z date_published: 2020-06-01T00:00:00Z date_updated: 2023-02-23T13:22:12Z day: '01' ddc: - '510' department: - _id: UlWa doi: 10.4230/LIPIcs.SoCG.2020.9 ec_funded: 1 external_id: arxiv: - '1804.09317' file: - access_level: open_access checksum: 93571b76cf97d5b7c8aabaeaa694dd7e content_type: application/pdf creator: dernst date_created: 2020-06-23T11:06:23Z date_updated: 2020-07-14T12:48:06Z file_id: '8006' file_name: 2020_LIPIcsSoCG_Arroyo.pdf file_size: 592661 relation: main_file file_date_updated: 2020-07-14T12:48:06Z has_accepted_license: '1' intvolume: ' 164' language: - iso: eng month: '06' oa: 1 oa_version: Published Version project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: 36th International Symposium on Computational Geometry publication_identifier: isbn: - '9783959771436' issn: - '18688969' publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: '1' status: public title: Extending drawings of graphs to arrangements of pseudolines tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 164 year: '2020' ... --- _id: '8011' abstract: - lang: eng text: 'Relaxation to a thermal state is the inevitable fate of nonequilibrium interacting quantum systems without special conservation laws. While thermalization in one-dimensional systems can often be suppressed by integrability mechanisms, in two spatial dimensions thermalization is expected to be far more effective due to the increased phase space. In this work we propose a general framework for escaping or delaying the emergence of the thermal state in two-dimensional arrays of Rydberg atoms via the mechanism of quantum scars, i.e., initial states that fail to thermalize. The suppression of thermalization is achieved in two complementary ways: by adding local perturbations or by adjusting the driving Rabi frequency according to the local connectivity of the lattice. We demonstrate that these mechanisms allow us to realize robust quantum scars in various two-dimensional lattices, including decorated lattices with nonconstant connectivity. In particular, we show that a small decrease of the Rabi frequency at the corners of the lattice is crucial for mitigating the strong boundary effects in two-dimensional systems. Our results identify synchronization as an important tool for future experiments on two-dimensional quantum scars.' article_number: '022065' article_processing_charge: No article_type: original author: - first_name: Alexios full_name: Michailidis, Alexios id: 36EBAD38-F248-11E8-B48F-1D18A9856A87 last_name: Michailidis - first_name: C. J. full_name: Turner, C. J. last_name: Turner - first_name: Z. full_name: Papić, Z. last_name: Papić - first_name: D. A. full_name: Abanin, D. A. last_name: Abanin - first_name: Maksym full_name: Serbyn, Maksym id: 47809E7E-F248-11E8-B48F-1D18A9856A87 last_name: Serbyn orcid: 0000-0002-2399-5827 citation: ama: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. Stabilizing two-dimensional quantum scars by deformation and synchronization. Physical Review Research. 2020;2(2). doi:10.1103/physrevresearch.2.022065 apa: Michailidis, A., Turner, C. J., Papić, Z., Abanin, D. A., & Serbyn, M. (2020). Stabilizing two-dimensional quantum scars by deformation and synchronization. Physical Review Research. American Physical Society. https://doi.org/10.1103/physrevresearch.2.022065 chicago: Michailidis, Alexios, C. J. Turner, Z. Papić, D. A. Abanin, and Maksym Serbyn. “Stabilizing Two-Dimensional Quantum Scars by Deformation and Synchronization.” Physical Review Research. American Physical Society, 2020. https://doi.org/10.1103/physrevresearch.2.022065. ieee: A. Michailidis, C. J. Turner, Z. Papić, D. A. Abanin, and M. Serbyn, “Stabilizing two-dimensional quantum scars by deformation and synchronization,” Physical Review Research, vol. 2, no. 2. American Physical Society, 2020. ista: Michailidis A, Turner CJ, Papić Z, Abanin DA, Serbyn M. 2020. Stabilizing two-dimensional quantum scars by deformation and synchronization. Physical Review Research. 2(2), 022065. mla: Michailidis, Alexios, et al. “Stabilizing Two-Dimensional Quantum Scars by Deformation and Synchronization.” Physical Review Research, vol. 2, no. 2, 022065, American Physical Society, 2020, doi:10.1103/physrevresearch.2.022065. short: A. Michailidis, C.J. Turner, Z. Papić, D.A. Abanin, M. Serbyn, Physical Review Research 2 (2020). date_created: 2020-06-23T12:00:19Z date_published: 2020-06-22T00:00:00Z date_updated: 2021-01-12T08:16:30Z day: '22' ddc: - '530' department: - _id: MaSe doi: 10.1103/physrevresearch.2.022065 ec_funded: 1 file: - access_level: open_access checksum: e6959dc8220f14a008d1933858795e6d content_type: application/pdf creator: dernst date_created: 2020-06-29T14:41:27Z date_updated: 2020-07-14T12:48:08Z file_id: '8050' file_name: 2020_PhysicalReviewResearch_Michailidis.pdf file_size: 2066011 relation: main_file file_date_updated: 2020-07-14T12:48:08Z has_accepted_license: '1' intvolume: ' 2' issue: '2' language: - iso: eng month: '06' oa: 1 oa_version: Published Version project: - _id: 23841C26-32DE-11EA-91FC-C7463DDC885E call_identifier: H2020 grant_number: '850899' name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control' publication: Physical Review Research publication_identifier: issn: - 2643-1564 publication_status: published publisher: American Physical Society quality_controlled: '1' status: public title: Stabilizing two-dimensional quantum scars by deformation and synchronization tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 2 year: '2020' ... --- _id: '8063' abstract: - lang: eng text: "We present a generative model of images that explicitly reasons over the set\r\nof objects they show. Our model learns a structured latent representation that\r\nseparates objects from each other and from the background; unlike prior works,\r\nit explicitly represents the 2D position and depth of each object, as well as\r\nan embedding of its segmentation mask and appearance. The model can be trained\r\nfrom images alone in a purely unsupervised fashion without the need for object\r\nmasks or depth information. Moreover, it always generates complete objects,\r\neven though a significant fraction of training images contain occlusions.\r\nFinally, we show that our model can infer decompositions of novel images into\r\ntheir constituent objects, including accurate prediction of depth ordering and\r\nsegmentation of occluded parts." article_number: '2004.00642' article_processing_charge: No author: - first_name: Titas full_name: Anciukevicius, Titas last_name: Anciukevicius - first_name: Christoph full_name: Lampert, Christoph id: 40C20FD2-F248-11E8-B48F-1D18A9856A87 last_name: Lampert orcid: 0000-0001-8622-7887 - first_name: Paul M full_name: Henderson, Paul M id: 13C09E74-18D9-11E9-8878-32CFE5697425 last_name: Henderson orcid: 0000-0002-5198-7445 citation: ama: Anciukevicius T, Lampert C, Henderson PM. Object-centric image generation with factored depths, locations, and appearances. arXiv. apa: Anciukevicius, T., Lampert, C., & Henderson, P. M. (n.d.). Object-centric image generation with factored depths, locations, and appearances. arXiv. chicago: Anciukevicius, Titas, Christoph Lampert, and Paul M Henderson. “Object-Centric Image Generation with Factored Depths, Locations, and Appearances.” ArXiv, n.d. ieee: T. Anciukevicius, C. Lampert, and P. M. Henderson, “Object-centric image generation with factored depths, locations, and appearances,” arXiv. . ista: Anciukevicius T, Lampert C, Henderson PM. Object-centric image generation with factored depths, locations, and appearances. arXiv, 2004.00642. mla: Anciukevicius, Titas, et al. “Object-Centric Image Generation with Factored Depths, Locations, and Appearances.” ArXiv, 2004.00642. short: T. Anciukevicius, C. Lampert, P.M. Henderson, ArXiv (n.d.). date_created: 2020-06-29T23:55:23Z date_published: 2020-04-01T00:00:00Z date_updated: 2021-01-12T08:16:44Z day: '01' ddc: - '004' department: - _id: ChLa external_id: arxiv: - '2004.00642' language: - iso: eng license: https://creativecommons.org/licenses/by-sa/4.0/ main_file_link: - open_access: '1' url: https://arxiv.org/abs/2004.00642 month: '04' oa: 1 oa_version: Preprint publication: arXiv publication_status: submitted status: public title: Object-centric image generation with factored depths, locations, and appearances tmp: image: /images/cc_by_sa.png legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0) short: CC BY-SA (4.0) type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '8081' abstract: - lang: eng text: "Here, we employ micro- and nanosized cellulose particles, namely paper fines and cellulose\r\nnanocrystals, to induce hierarchical organization over a wide length scale. After processing\r\nthem into carbonaceous materials, we demonstrate that these hierarchically organized materials\r\noutperform the best materials for supercapacitors operating with organic electrolytes reported\r\nin literature in terms of specific energy/power (Ragone plot) while showing hardly any capacity\r\nfade over 4,000 cycles. The highly porous materials feature a specific surface area as high as\r\n2500 m2ˑg-1 and exhibit pore sizes in the range of 0.5 to 200 nm as proven by scanning electron\r\nmicroscopy and N2 physisorption. The carbonaceous materials have been further investigated\r\nby X-ray photoelectron spectroscopy and RAMAN spectroscopy. Since paper fines are an\r\nunderutilized side stream in any paper production process, they are a cheap and highly available\r\nfeedstock to prepare carbonaceous materials with outstanding performance in electrochemical\r\napplications. " acknowledgement: 'The authors M.A.H., S.S., R.E., and W.B. acknowledge the industrial partners Sappi Gratkorn, Zellstoff Pöls and Mondi Frantschach, the Austrian Research Promotion Agency (FFG), COMET, BMVIT, BMWFJ, the Province of Styria and Carinthia for their financial support of the K-project Flippr²-Process Integration. E.M. and S.A.F. are indebted to the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No 636069). W. T. and S. E. thank FWO (G.0C60.13N) and the European Union’s European Fund for Regional Development and Flanders Innovation & Entrepreneurship (Accelerate3 project, Interreg Vlaanderen-Nederland program) for financial support. W. T. also thanks the Provincie West-Vlaanderen (Belgium) for his Provincial Chair in Advanced Materials. S. B. thanks the European Regional Development Fund (EFRE) and the province of Upper Austria for financial support through the program IWB 2014-2020 (project BioCarb-K). AMR gratefully acknowledges funding support through the SC EPSCoR/IDeAProgram under Award #18-SR03, and the NASA EPSCoR Program under Award #NNH17ZHA002C. Icons in Scheme 1 were provided by Good Ware, monkik, photo3idea_studio, and OCHA from www.flaticon.com.' article_processing_charge: No author: - first_name: 'Mathias A. ' full_name: 'Hobisch, Mathias A. ' last_name: Hobisch - first_name: 'Eléonore ' full_name: 'Mourad, Eléonore ' last_name: Mourad - first_name: 'Wolfgang J. ' full_name: 'Fischer, Wolfgang J. ' last_name: Fischer - first_name: 'Christian ' full_name: 'Prehal, Christian ' last_name: Prehal - first_name: 'Samuel ' full_name: 'Eyley, Samuel ' last_name: Eyley - first_name: 'Anthony ' full_name: 'Childress, Anthony ' last_name: Childress - first_name: 'Armin ' full_name: 'Zankel, Armin ' last_name: Zankel - first_name: 'Andreas ' full_name: 'Mautner, Andreas ' last_name: Mautner - first_name: 'Stefan ' full_name: 'Breitenbach, Stefan ' last_name: Breitenbach - first_name: 'Apparao M. ' full_name: 'Rao, Apparao M. ' last_name: Rao - first_name: 'Wim ' full_name: 'Thielemans, Wim ' last_name: Thielemans - first_name: Stefan Alexander full_name: Freunberger, Stefan Alexander id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425 last_name: Freunberger orcid: 0000-0003-2902-5319 - first_name: 'Rene ' full_name: 'Eckhart, Rene ' last_name: Eckhart - first_name: 'Wolfgang ' full_name: 'Bauer, Wolfgang ' last_name: Bauer - first_name: 'Stefan ' full_name: 'Spirk, Stefan ' last_name: Spirk citation: ama: Hobisch MA, Mourad E, Fischer WJ, et al. High specific capacitance supercapacitors from hierarchically organized all-cellulose composites. apa: Hobisch, M. A., Mourad, E., Fischer, W. J., Prehal, C., Eyley, S., Childress, A., … Spirk, S. (n.d.). High specific capacitance supercapacitors from hierarchically organized all-cellulose composites. chicago: Hobisch, Mathias A. , Eléonore Mourad, Wolfgang J. Fischer, Christian Prehal, Samuel Eyley, Anthony Childress, Armin Zankel, et al. “High Specific Capacitance Supercapacitors from Hierarchically Organized All-Cellulose Composites,” n.d. ieee: M. A. Hobisch et al., “High specific capacitance supercapacitors from hierarchically organized all-cellulose composites.” . ista: Hobisch MA, Mourad E, Fischer WJ, Prehal C, Eyley S, Childress A, Zankel A, Mautner A, Breitenbach S, Rao AM, Thielemans W, Freunberger SA, Eckhart R, Bauer W, Spirk S. High specific capacitance supercapacitors from hierarchically organized all-cellulose composites. mla: Hobisch, Mathias A., et al. High Specific Capacitance Supercapacitors from Hierarchically Organized All-Cellulose Composites. short: M.A. Hobisch, E. Mourad, W.J. Fischer, C. Prehal, S. Eyley, A. Childress, A. Zankel, A. Mautner, S. Breitenbach, A.M. Rao, W. Thielemans, S.A. Freunberger, R. Eckhart, W. Bauer, S. Spirk, (n.d.). date_created: 2020-07-02T20:24:42Z date_published: 2020-07-13T00:00:00Z date_updated: 2022-06-17T08:39:49Z day: '13' ddc: - '540' department: - _id: StFr file: - access_level: open_access checksum: 6970d621984c03ebc2eee71adfe706dd content_type: application/pdf creator: sfreunbe date_created: 2020-07-02T20:21:59Z date_updated: 2020-07-14T12:48:09Z file_id: '8082' file_name: AM.pdf file_size: 1129852 relation: main_file - access_level: open_access checksum: cd74c7bd47d6e7163d54d67f074dcc36 content_type: application/pdf creator: cziletti date_created: 2020-07-08T12:14:04Z date_updated: 2020-07-14T12:48:09Z file_id: '8102' file_name: Supporting_Information.pdf file_size: 945565 relation: supplementary_material file_date_updated: 2020-07-14T12:48:09Z has_accepted_license: '1' language: - iso: eng month: '07' oa: 1 oa_version: Submitted Version publication_status: submitted status: public title: High specific capacitance supercapacitors from hierarchically organized all-cellulose composites type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ... --- _id: '8105' abstract: - lang: eng text: Physical and biological systems often exhibit intermittent dynamics with bursts or avalanches (active states) characterized by power-law size and duration distributions. These emergent features are typical of systems at the critical point of continuous phase transitions, and have led to the hypothesis that such systems may self-organize at criticality, i.e. without any fine tuning of parameters. Since the introduction of the Bak-Tang-Wiesenfeld (BTW) model, the paradigm of self-organized criticality (SOC) has been very fruitful for the analysis of emergent collective behaviors in a number of systems, including the brain. Although considerable effort has been devoted in identifying and modeling scaling features of burst and avalanche statistics, dynamical aspects related to the temporal organization of bursts remain often poorly understood or controversial. Of crucial importance to understand the mechanisms responsible for emergent behaviors is the relationship between active and quiet periods, and the nature of the correlations. Here we investigate the dynamics of active (θ-bursts) and quiet states (δ-bursts) in brain activity during the sleep-wake cycle. We show the duality of power-law (θ, active phase) and exponential-like (δ, quiescent phase) duration distributions, typical of SOC, jointly emerge with power-law temporal correlations and anti-correlated coupling between active and quiet states. Importantly, we demonstrate that such temporal organization shares important similarities with earthquake dynamics, and propose that specific power-law correlations and coupling between active and quiet states are distinctive characteristics of a class of systems with self-organization at criticality. article_number: '00005' article_processing_charge: No article_type: original author: - first_name: Fabrizio full_name: Lombardi, Fabrizio id: A057D288-3E88-11E9-986D-0CF4E5697425 last_name: Lombardi orcid: 0000-0003-2623-5249 - first_name: Jilin W.J.L. full_name: Wang, Jilin W.J.L. last_name: Wang - first_name: Xiyun full_name: Zhang, Xiyun last_name: Zhang - first_name: Plamen Ch full_name: Ivanov, Plamen Ch last_name: Ivanov citation: ama: Lombardi F, Wang JWJL, Zhang X, Ivanov PC. Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality. EPJ Web of Conferences. 2020;230. doi:10.1051/epjconf/202023000005 apa: Lombardi, F., Wang, J. W. J. L., Zhang, X., & Ivanov, P. C. (2020). Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality. EPJ Web of Conferences. EDP Sciences. https://doi.org/10.1051/epjconf/202023000005 chicago: Lombardi, Fabrizio, Jilin W.J.L. Wang, Xiyun Zhang, and Plamen Ch Ivanov. “Power-Law Correlations and Coupling of Active and Quiet States Underlie a Class of Complex Systems with Self-Organization at Criticality.” EPJ Web of Conferences. EDP Sciences, 2020. https://doi.org/10.1051/epjconf/202023000005. ieee: F. Lombardi, J. W. J. L. Wang, X. Zhang, and P. C. Ivanov, “Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality,” EPJ Web of Conferences, vol. 230. EDP Sciences, 2020. ista: Lombardi F, Wang JWJL, Zhang X, Ivanov PC. 2020. Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality. EPJ Web of Conferences. 230, 00005. mla: Lombardi, Fabrizio, et al. “Power-Law Correlations and Coupling of Active and Quiet States Underlie a Class of Complex Systems with Self-Organization at Criticality.” EPJ Web of Conferences, vol. 230, 00005, EDP Sciences, 2020, doi:10.1051/epjconf/202023000005. short: F. Lombardi, J.W.J.L. Wang, X. Zhang, P.C. Ivanov, EPJ Web of Conferences 230 (2020). date_created: 2020-07-12T16:20:33Z date_published: 2020-03-11T00:00:00Z date_updated: 2021-01-12T08:16:55Z day: '11' ddc: - '530' department: - _id: GaTk doi: 10.1051/epjconf/202023000005 file: - access_level: open_access content_type: application/pdf creator: dernst date_created: 2020-07-22T06:17:11Z date_updated: 2020-07-22T06:17:11Z file_id: '8144' file_name: 2020_EPJWebConf_Lombardi.pdf file_size: 2197543 relation: main_file success: 1 file_date_updated: 2020-07-22T06:17:11Z has_accepted_license: '1' intvolume: ' 230' language: - iso: eng month: '03' oa: 1 oa_version: Published Version publication: EPJ Web of Conferences publication_identifier: issn: - 2100-014X publication_status: published publisher: EDP Sciences quality_controlled: '1' status: public title: Power-law correlations and coupling of active and quiet states underlie a class of complex systems with self-organization at criticality tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 230 year: '2020' ... --- _id: '8135' abstract: - lang: eng text: Discrete Morse theory has recently lead to new developments in the theory of random geometric complexes. This article surveys the methods and results obtained with this new approach, and discusses some of its shortcomings. It uses simulations to illustrate the results and to form conjectures, getting numerical estimates for combinatorial, topological, and geometric properties of weighted and unweighted Delaunay mosaics, their dual Voronoi tessellations, and the Alpha and Wrap complexes contained in the mosaics. acknowledgement: This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 78818 Alpha and No 638176). It is also partially supported by the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’, through grant no. I02979-N35 of the Austrian Science Fund (FWF). alternative_title: - Abel Symposia article_processing_charge: No author: - first_name: Herbert full_name: Edelsbrunner, Herbert id: 3FB178DA-F248-11E8-B48F-1D18A9856A87 last_name: Edelsbrunner orcid: 0000-0002-9823-6833 - first_name: Anton full_name: Nikitenko, Anton id: 3E4FF1BA-F248-11E8-B48F-1D18A9856A87 last_name: Nikitenko - first_name: Katharina full_name: Ölsböck, Katharina id: 4D4AA390-F248-11E8-B48F-1D18A9856A87 last_name: Ölsböck - first_name: Peter full_name: Synak, Peter id: 331776E2-F248-11E8-B48F-1D18A9856A87 last_name: Synak citation: ama: 'Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. In: Topological Data Analysis. Vol 15. Springer Nature; 2020:181-218. doi:10.1007/978-3-030-43408-3_8' apa: Edelsbrunner, H., Nikitenko, A., Ölsböck, K., & Synak, P. (2020). Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. In Topological Data Analysis (Vol. 15, pp. 181–218). Springer Nature. https://doi.org/10.1007/978-3-030-43408-3_8 chicago: Edelsbrunner, Herbert, Anton Nikitenko, Katharina Ölsböck, and Peter Synak. “Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally.” In Topological Data Analysis, 15:181–218. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-43408-3_8. ieee: H. Edelsbrunner, A. Nikitenko, K. Ölsböck, and P. Synak, “Radius functions on Poisson–Delaunay mosaics and related complexes experimentally,” in Topological Data Analysis, 2020, vol. 15, pp. 181–218. ista: Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. 2020. Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. Topological Data Analysis. , Abel Symposia, vol. 15, 181–218. mla: Edelsbrunner, Herbert, et al. “Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally.” Topological Data Analysis, vol. 15, Springer Nature, 2020, pp. 181–218, doi:10.1007/978-3-030-43408-3_8. short: H. Edelsbrunner, A. Nikitenko, K. Ölsböck, P. Synak, in:, Topological Data Analysis, Springer Nature, 2020, pp. 181–218. date_created: 2020-07-19T22:00:59Z date_published: 2020-06-22T00:00:00Z date_updated: 2021-01-12T08:17:06Z day: '22' ddc: - '510' department: - _id: HeEd doi: 10.1007/978-3-030-43408-3_8 ec_funded: 1 file: - access_level: open_access checksum: 7b5e0de10675d787a2ddb2091370b8d8 content_type: application/pdf creator: dernst date_created: 2020-10-08T08:56:14Z date_updated: 2020-10-08T08:56:14Z file_id: '8628' file_name: 2020-B-01-PoissonExperimentalSurvey.pdf file_size: 2207071 relation: main_file success: 1 file_date_updated: 2020-10-08T08:56:14Z has_accepted_license: '1' intvolume: ' 15' language: - iso: eng month: '06' oa: 1 oa_version: Submitted Version page: 181-218 project: - _id: 266A2E9E-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '788183' name: Alpha Shape Theory Extended - _id: 2533E772-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '638176' name: Efficient Simulation of Natural Phenomena at Extremely Large Scales - _id: 2561EBF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: I02979-N35 name: Persistence and stability of geometric complexes publication: Topological Data Analysis publication_identifier: eissn: - '21978549' isbn: - '9783030434076' issn: - '21932808' publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Radius functions on Poisson–Delaunay mosaics and related complexes experimentally type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 15 year: '2020' ... --- _id: '8181' author: - first_name: Robert full_name: Hauschild, Robert id: 4E01D6B4-F248-11E8-B48F-1D18A9856A87 last_name: Hauschild orcid: 0000-0001-9843-3522 citation: ama: Hauschild R. Amplified centrosomes in dendritic cells promote immune cell effector functions. 2020. doi:10.15479/AT:ISTA:8181 apa: Hauschild, R. (2020). Amplified centrosomes in dendritic cells promote immune cell effector functions. IST Austria. https://doi.org/10.15479/AT:ISTA:8181 chicago: Hauschild, Robert. “Amplified Centrosomes in Dendritic Cells Promote Immune Cell Effector Functions.” IST Austria, 2020. https://doi.org/10.15479/AT:ISTA:8181. ieee: R. Hauschild, “Amplified centrosomes in dendritic cells promote immune cell effector functions.” IST Austria, 2020. ista: Hauschild R. 2020. Amplified centrosomes in dendritic cells promote immune cell effector functions, IST Austria, 10.15479/AT:ISTA:8181. mla: Hauschild, Robert. Amplified Centrosomes in Dendritic Cells Promote Immune Cell Effector Functions. IST Austria, 2020, doi:10.15479/AT:ISTA:8181. short: R. Hauschild, (2020). date_created: 2020-07-28T16:24:37Z date_published: 2020-08-24T00:00:00Z date_updated: 2021-01-11T15:29:08Z day: '24' department: - _id: Bio doi: 10.15479/AT:ISTA:8181 file: - access_level: open_access checksum: 878c60885ce30afb59a884dd5eef451c content_type: text/plain creator: rhauschild date_created: 2020-08-24T15:43:49Z date_updated: 2020-08-24T15:43:49Z file_id: '8290' file_name: centriolesDistance.m file_size: 6577 relation: main_file success: 1 - access_level: open_access checksum: 5a93ac7be2b66b28e4bd8b113ee6aade content_type: text/plain creator: rhauschild date_created: 2020-08-24T15:43:52Z date_updated: 2020-08-24T15:43:52Z file_id: '8291' file_name: goTracking.m file_size: 2680 relation: main_file success: 1 file_date_updated: 2020-08-24T15:43:52Z has_accepted_license: '1' license: https://opensource.org/licenses/BSD-3-Clause month: '08' oa: 1 publisher: IST Austria status: public title: Amplified centrosomes in dendritic cells promote immune cell effector functions tmp: legal_code_url: https://opensource.org/licenses/BSD-3-Clause name: The 3-Clause BSD License short: 3-Clause BSD type: software user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2020' ...