[{"date_updated":"2023-09-05T16:07:40Z","department":[{"_id":"RoSe"}],"_id":"7900","status":"public","type":"journal_article","article_type":"original","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"publication_status":"published","issue":"1","volume":33,"ec_funded":1,"oa_version":"Preprint","abstract":[{"text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation.","lang":"eng"}],"month":"01","intvolume":" 33","scopus_import":"1","main_file_link":[{"url":"https://arxiv.org/abs/1910.08190","open_access":"1"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics, vol. 33, no. 1, 2060009, World Scientific, 2021, doi:10.1142/s0129055x20600090.","ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 2021;33(1). doi:10.1142/s0129055x20600090","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. World Scientific. https://doi.org/10.1142/s0129055x20600090","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” Reviews in Mathematical Physics, vol. 33, no. 1. World Scientific, 2021.","chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” Reviews in Mathematical Physics. World Scientific, 2021. https://doi.org/10.1142/s0129055x20600090.","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009."},"title":"Bosonic collective excitations in Fermi gases","author":[{"id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","first_name":"Niels P","last_name":"Benedikter","full_name":"Benedikter, Niels P","orcid":"0000-0002-1071-6091"}],"article_processing_charge":"No","external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"article_number":"2060009","project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"day":"01","publication":"Reviews in Mathematical Physics","isi":1,"year":"2021","doi":"10.1142/s0129055x20600090","date_published":"2021-01-01T00:00:00Z","date_created":"2020-05-28T16:47:55Z","publisher":"World Scientific","quality_controlled":"1","oa":1},{"acknowledgement":"This work was supported by the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo. 694227).","oa":1,"publisher":"World Scientific Publishing","quality_controlled":"1","publication":"Reviews in Mathematical Physics","day":"01","year":"2021","isi":1,"date_created":"2022-03-18T08:11:34Z","doi":"10.1142/s0129055x20600120","date_published":"2021-02-01T00:00:00Z","article_number":"2060012","project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"chicago":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics. World Scientific Publishing, 2021. https://doi.org/10.1142/s0129055x20600120.","ista":"Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.","mla":"Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120.","ieee":"R. Seiringer, “The polaron at strong coupling,” Reviews in Mathematical Physics, vol. 33, no. 01. World Scientific Publishing, 2021.","short":"R. Seiringer, Reviews in Mathematical Physics 33 (2021).","ama":"Seiringer R. The polaron at strong coupling. Reviews in Mathematical Physics. 2021;33(01). doi:10.1142/s0129055x20600120","apa":"Seiringer, R. (2021). The polaron at strong coupling. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/s0129055x20600120"},"title":"The polaron at strong coupling","article_processing_charge":"No","external_id":{"arxiv":["1912.12509"],"isi":["000613313200013"]},"author":[{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":" We review old and new results on the Fröhlich polaron model. The discussion includes the validity of the (classical) Pekar approximation in the strong coupling limit, quantum corrections to this limit, as well as the divergence of the effective polaron mass."}],"intvolume":" 33","month":"02","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1912.12509"}],"scopus_import":"1","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0129-055X"],"eissn":["1793-6659"]},"ec_funded":1,"issue":"01","volume":33,"_id":"10852","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"status":"public","article_type":"original","type":"journal_article","date_updated":"2023-09-05T16:08:02Z","department":[{"_id":"RoSe"}]},{"oa":1,"publisher":"Institute of Science and Technology Austria","date_created":"2021-02-02T14:11:06Z","doi":"10.15479/AT:ISTA:9056","date_published":"2021-02-01T00:00:00Z","page":"134","day":"01","year":"2021","has_accepted_license":"1","title":"Multi-cover persistence and Delaunay mosaics","article_processing_charge":"No","author":[{"last_name":"Osang","full_name":"Osang, Georg F","orcid":"0000-0002-8882-5116","first_name":"Georg F","id":"464B40D6-F248-11E8-B48F-1D18A9856A87"}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Osang GF. 2021. Multi-cover persistence and Delaunay mosaics. Klosterneuburg: Institute of Science and Technology Austria.","chicago":"Osang, Georg F. “Multi-Cover Persistence and Delaunay Mosaics.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/AT:ISTA:9056.","ama":"Osang GF. Multi-cover persistence and Delaunay mosaics. 2021. doi:10.15479/AT:ISTA:9056","apa":"Osang, G. F. (2021). Multi-cover persistence and Delaunay mosaics. Institute of Science and Technology Austria, Klosterneuburg. https://doi.org/10.15479/AT:ISTA:9056","short":"G.F. Osang, Multi-Cover Persistence and Delaunay Mosaics, Institute of Science and Technology Austria, 2021.","ieee":"G. F. Osang, “Multi-cover persistence and Delaunay mosaics,” Institute of Science and Technology Austria, Klosterneuburg, 2021.","mla":"Osang, Georg F. Multi-Cover Persistence and Delaunay Mosaics. Institute of Science and Technology Austria, 2021, doi:10.15479/AT:ISTA:9056."},"month":"02","place":"Klosterneuburg","alternative_title":["ISTA Thesis"],"oa_version":"Published Version","abstract":[{"text":"In this thesis we study persistence of multi-covers of Euclidean balls and the geometric structures underlying their computation, in particular Delaunay mosaics and Voronoi tessellations. The k-fold cover for some discrete input point set consists of the space where at least k balls of radius r around the input points overlap. Persistence is a notion that captures, in some sense, the topology of the shape underlying the input. While persistence is usually computed for the union of balls, the k-fold cover is of interest as it captures local density,\r\nand thus might approximate the shape of the input better if the input data is noisy. To compute persistence of these k-fold covers, we need a discretization that is provided by higher-order Delaunay mosaics. We present and implement a simple and efficient algorithm for the computation of higher-order Delaunay mosaics, and use it to give experimental results for their combinatorial properties. The algorithm makes use of a new geometric structure, the rhomboid tiling. It contains the higher-order Delaunay mosaics as slices, and by introducing a filtration\r\nfunction on the tiling, we also obtain higher-order α-shapes as slices. These allow us to compute persistence of the multi-covers for varying radius r; the computation for varying k is less straight-foward and involves the rhomboid tiling directly. We apply our algorithms to experimental sphere packings to shed light on their structural properties. Finally, inspired by periodic structures in packings and materials, we propose and implement an algorithm for periodic Delaunay triangulations to be integrated into the Computational Geometry Algorithms Library (CGAL), and discuss the implications on persistence for periodic data sets.","lang":"eng"}],"related_material":{"record":[{"relation":"part_of_dissertation","id":"187","status":"public"},{"status":"public","id":"8703","relation":"part_of_dissertation"}]},"language":[{"iso":"eng"}],"file":[{"checksum":"bcf27986147cab0533b6abadd74e7629","file_id":"9063","relation":"source_file","access_level":"closed","content_type":"application/zip","file_name":"thesis_source.zip","date_created":"2021-02-02T14:09:25Z","creator":"patrickd","file_size":13446994,"date_updated":"2021-02-03T10:37:28Z"},{"creator":"patrickd","date_updated":"2021-02-02T14:09:18Z","file_size":5210329,"date_created":"2021-02-02T14:09:18Z","file_name":"thesis_pdfA2b.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"9cc8af266579a464385bbe2aff6af606","file_id":"9064","success":1}],"publication_status":"published","degree_awarded":"PhD","publication_identifier":{"issn":["2663-337X"]},"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"dissertation","_id":"9056","file_date_updated":"2021-02-03T10:37:28Z","department":[{"_id":"HeEd"},{"_id":"GradSch"}],"ddc":["006","514","516"],"date_updated":"2023-09-07T13:29:01Z","supervisor":[{"last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"}]},{"department":[{"_id":"GradSch"},{"_id":"LaEr"}],"file_date_updated":"2021-01-25T14:19:10Z","supervisor":[{"last_name":"Erdös","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László"}],"date_updated":"2023-09-07T13:29:32Z","ddc":["510"],"type":"dissertation","status":"public","_id":"9022","ec_funded":1,"publication_identifier":{"issn":["2663-337X"]},"degree_awarded":"PhD","publication_status":"published","file":[{"creator":"gcipollo","file_size":4127796,"date_updated":"2021-01-25T14:19:03Z","file_name":"thesis.pdf","date_created":"2021-01-25T14:19:03Z","relation":"main_file","access_level":"open_access","content_type":"application/pdf","success":1,"checksum":"5a93658a5f19478372523ee232887e2b","file_id":"9043"},{"date_updated":"2021-01-25T14:19:10Z","file_size":12775206,"creator":"gcipollo","date_created":"2021-01-25T14:19:10Z","file_name":"Thesis_files.zip","content_type":"application/zip","access_level":"closed","relation":"source_file","checksum":"e8270eddfe6a988e92a53c88d1d19b8c","file_id":"9044"}],"language":[{"iso":"eng"}],"alternative_title":["ISTA Thesis"],"month":"01","abstract":[{"text":"In the first part of the thesis we consider Hermitian random matrices. Firstly, we consider sample covariance matrices XX∗ with X having independent identically distributed (i.i.d.) centred entries. We prove a Central Limit Theorem for differences of linear statistics of XX∗ and its minor after removing the first column of X. Secondly, we consider Wigner-type matrices and prove that the eigenvalue statistics near cusp singularities of the limiting density of states are universal and that they form a Pearcey process. Since the limiting eigenvalue distribution admits only square root (edge) and cubic root (cusp) singularities, this concludes the third and last remaining case of the Wigner-Dyson-Mehta universality conjecture. The main technical ingredients are an optimal local law at the cusp, and the proof of the fast relaxation to equilibrium of the Dyson Brownian motion in the cusp regime.\r\nIn the second part we consider non-Hermitian matrices X with centred i.i.d. entries. We normalise the entries of X to have variance N −1. It is well known that the empirical eigenvalue density converges to the uniform distribution on the unit disk (circular law). In the first project, we prove universality of the local eigenvalue statistics close to the edge of the spectrum. This is the non-Hermitian analogue of the TracyWidom universality at the Hermitian edge. Technically we analyse the evolution of the spectral distribution of X along the Ornstein-Uhlenbeck flow for very long time\r\n(up to t = +∞). In the second project, we consider linear statistics of eigenvalues for macroscopic test functions f in the Sobolev space H2+ϵ and prove their convergence to the projection of the Gaussian Free Field on the unit disk. We prove this result for non-Hermitian matrices with real or complex entries. The main technical ingredients are: (i) local law for products of two resolvents at different spectral parameters, (ii) analysis of correlated Dyson Brownian motions.\r\nIn the third and final part we discuss the mathematically rigorous application of supersymmetric techniques (SUSY ) to give a lower tail estimate of the lowest singular value of X − z, with z ∈ C. More precisely, we use superbosonisation formula to give an integral representation of the resolvent of (X − z)(X − z)∗ which reduces to two and three contour integrals in the complex and real case, respectively. The rigorous analysis of these integrals is quite challenging since simple saddle point analysis cannot be applied (the main contribution comes from a non-trivial manifold). Our result\r\nimproves classical smoothing inequalities in the regime |z| ≈ 1; this result is essential to prove edge universality for i.i.d. non-Hermitian matrices.","lang":"eng"}],"oa_version":"Published Version","author":[{"last_name":"Cipolloni","full_name":"Cipolloni, Giorgio","orcid":"0000-0002-4901-7992","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","title":"Fluctuations in the spectrum of random matrices","citation":{"mla":"Cipolloni, Giorgio. Fluctuations in the Spectrum of Random Matrices. Institute of Science and Technology Austria, 2021, doi:10.15479/AT:ISTA:9022.","short":"G. Cipolloni, Fluctuations in the Spectrum of Random Matrices, Institute of Science and Technology Austria, 2021.","ieee":"G. Cipolloni, “Fluctuations in the spectrum of random matrices,” Institute of Science and Technology Austria, 2021.","ama":"Cipolloni G. Fluctuations in the spectrum of random matrices. 2021. doi:10.15479/AT:ISTA:9022","apa":"Cipolloni, G. (2021). Fluctuations in the spectrum of random matrices. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:9022","chicago":"Cipolloni, Giorgio. “Fluctuations in the Spectrum of Random Matrices.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/AT:ISTA:9022.","ista":"Cipolloni G. 2021. Fluctuations in the spectrum of random matrices. Institute of Science and Technology Austria."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","project":[{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"},{"grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","call_identifier":"FP7","_id":"258DCDE6-B435-11E9-9278-68D0E5697425"}],"page":"380","date_published":"2021-01-25T00:00:00Z","doi":"10.15479/AT:ISTA:9022","date_created":"2021-01-21T18:16:54Z","has_accepted_license":"1","year":"2021","day":"25","publisher":"Institute of Science and Technology Austria","oa":1,"acknowledgement":"I gratefully acknowledge the financial support from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385 and my advisor’s ERC Advanced Grant No. 338804."},{"has_accepted_license":"1","year":"2021","publication_status":"published","file":[{"checksum":"f34ff17017527db5ba6927f817bdd125","file_id":"9417","access_level":"open_access","relation":"main_file","content_type":"application/pdf","date_created":"2021-05-24T11:15:57Z","file_name":"iclr2021_conference.pdf","creator":"bphuong","date_updated":"2021-05-24T11:15:57Z","file_size":502356}],"day":"01","publication":"9th International Conference on Learning Representations","language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"9418"}]},"date_published":"2021-05-01T00:00:00Z","date_created":"2021-05-24T11:16:46Z","abstract":[{"text":"We study the inductive bias of two-layer ReLU networks trained by gradient flow. We identify a class of easy-to-learn (`orthogonally separable') datasets, and characterise the solution that ReLU networks trained on such datasets converge to. Irrespective of network width, the solution turns out to be a combination of two max-margin classifiers: one corresponding to the positive data subset and one corresponding to the negative data subset. The proof is based on the recently introduced concept of extremal sectors, for which we prove a number of properties in the context of orthogonal separability. In particular, we prove stationarity of activation patterns from some time onwards, which enables a reduction of the ReLU network to an ensemble of linear subnetworks.","lang":"eng"}],"oa_version":"Published Version","quality_controlled":"1","scopus_import":"1","oa":1,"main_file_link":[{"open_access":"1","url":"https://openreview.net/pdf?id=krz7T0xU9Z_"}],"month":"05","citation":{"chicago":"Phuong, Mary, and Christoph Lampert. “The Inductive Bias of ReLU Networks on Orthogonally Separable Data.” In 9th International Conference on Learning Representations, 2021.","ista":"Phuong M, Lampert C. 2021. The inductive bias of ReLU networks on orthogonally separable data. 9th International Conference on Learning Representations. ICLR: International Conference on Learning Representations.","mla":"Phuong, Mary, and Christoph Lampert. “The Inductive Bias of ReLU Networks on Orthogonally Separable Data.” 9th International Conference on Learning Representations, 2021.","short":"M. Phuong, C. Lampert, in:, 9th International Conference on Learning Representations, 2021.","ieee":"M. Phuong and C. Lampert, “The inductive bias of ReLU networks on orthogonally separable data,” in 9th International Conference on Learning Representations, Virtual, 2021.","apa":"Phuong, M., & Lampert, C. (2021). The inductive bias of ReLU networks on orthogonally separable data. In 9th International Conference on Learning Representations. Virtual.","ama":"Phuong M, Lampert C. The inductive bias of ReLU networks on orthogonally separable data. In: 9th International Conference on Learning Representations. ; 2021."},"date_updated":"2023-09-07T13:29:50Z","ddc":["000"],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Bui Thi Mai","full_name":"Bui Thi Mai, Phuong","first_name":"Phuong","id":"3EC6EE64-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-8622-7887","full_name":"Lampert, Christoph","last_name":"Lampert","first_name":"Christoph","id":"40C20FD2-F248-11E8-B48F-1D18A9856A87"}],"article_processing_charge":"No","file_date_updated":"2021-05-24T11:15:57Z","title":"The inductive bias of ReLU networks on orthogonally separable data","department":[{"_id":"GradSch"},{"_id":"ChLa"}],"_id":"9416","type":"conference","conference":{"name":" ICLR: International Conference on Learning Representations","location":"Virtual","end_date":"2021-05-07","start_date":"2021-05-03"},"status":"public"},{"ec_funded":1,"volume":111,"related_material":{"record":[{"id":"9733","status":"public","relation":"dissertation_contains"}]},"language":[{"iso":"eng"}],"file":[{"date_created":"2021-03-09T11:44:34Z","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","creator":"dernst","date_updated":"2021-03-09T11:44:34Z","file_size":391205,"file_id":"9232","checksum":"ffbfe1aad623bce7ff529c207e343b53","success":1,"access_level":"open_access","relation":"main_file","content_type":"application/pdf"}],"publication_status":"published","publication_identifier":{"eissn":["15730530"],"issn":["03779017"]},"intvolume":" 111","month":"02","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere, we provide a class of initial data for which the associated effective Hamiltonian\r\nhas a uniform spectral gap for all times. For such initial data, this allows us to extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations and their derivation\r\nfrom the Fröhlich model obtained in previous works to larger times."}],"file_date_updated":"2021-03-09T11:44:34Z","department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-09-07T13:30:11Z","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","_id":"9225","date_created":"2021-03-07T23:01:25Z","doi":"10.1007/s11005-020-01350-5","date_published":"2021-02-11T00:00:00Z","publication":"Letters in Mathematical Physics","day":"11","year":"2021","isi":1,"has_accepted_license":"1","oa":1,"publisher":"Springer Nature","quality_controlled":"1","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged. Open Access funding provided by Institute of Science and Technology (IST Austria)","title":"Persistence of the spectral gap for the Landau–Pekar equations","external_id":{"isi":["000617195700001"]},"article_processing_charge":"Yes (via OA deal)","author":[{"full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","last_name":"Feliciangeli","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario"},{"first_name":"Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","orcid":"0000-0001-5059-4466","last_name":"Rademacher"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","last_name":"Seiringer"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics. Springer Nature, 2021. https://doi.org/10.1007/s11005-020-01350-5.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature, 2021, doi:10.1007/s11005-020-01350-5.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” Letters in Mathematical Physics, vol. 111. Springer Nature, 2021.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","apa":"Feliciangeli, D., Rademacher, S. A. E., & Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-020-01350-5","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-020-01350-5"},"project":[{"call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"article_number":"19"},{"date_created":"2021-08-06T08:25:57Z","date_published":"2021-02-01T00:00:00Z","publication":"arXiv","day":"01","year":"2021","has_accepted_license":"1","oa":1,"acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.\r\n","title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","article_processing_charge":"No","external_id":{"arxiv":["2101.12566"]},"author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","orcid":"0000-0003-0754-8530","full_name":"Feliciangeli, Dario","last_name":"Feliciangeli"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"user_id":"D865714E-FA4E-11E9-B85B-F5C5E5697425","citation":{"ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.","chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, n.d.","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.","apa":"Feliciangeli, D., & Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” arXiv. .","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.).","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566."},"project":[{"grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_number":"2101.12566","ec_funded":1,"related_material":{"record":[{"relation":"later_version","status":"public","id":"10224"},{"relation":"dissertation_contains","id":"9733","status":"public"}]},"language":[{"iso":"eng"}],"publication_status":"submitted","month":"02","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2101.12566"}],"oa_version":"Preprint","abstract":[{"lang":"eng","text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging."}],"department":[{"_id":"RoSe"}],"ddc":["510"],"date_updated":"2023-09-07T13:30:10Z","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"preprint","_id":"9787"},{"publication":"33rd International Conference on Computer-Aided Verification ","day":"15","year":"2021","has_accepted_license":"1","isi":1,"date_created":"2021-09-05T22:01:24Z","doi":"10.1007/978-3-030-81685-8_16","date_published":"2021-07-15T00:00:00Z","page":"341-366","acknowledgement":"The research was partially funded by the ERC CoG 863818 (ForM-SMArt) and the Vienna Science and Technology Fund (WWTF) through project ICT15-003.","oa":1,"quality_controlled":"1","publisher":"Springer Nature","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"chicago":"Agarwal, Pratyush, Krishnendu Chatterjee, Shreya Pathak, Andreas Pavlogiannis, and Viktor Toman. “Stateless Model Checking under a Reads-Value-from Equivalence.” In 33rd International Conference on Computer-Aided Verification , 12759:341–66. Springer Nature, 2021. https://doi.org/10.1007/978-3-030-81685-8_16.","ista":"Agarwal P, Chatterjee K, Pathak S, Pavlogiannis A, Toman V. 2021. Stateless model checking under a reads-value-from equivalence. 33rd International Conference on Computer-Aided Verification . CAV: Computer Aided Verification , LNCS, vol. 12759, 341–366.","mla":"Agarwal, Pratyush, et al. “Stateless Model Checking under a Reads-Value-from Equivalence.” 33rd International Conference on Computer-Aided Verification , vol. 12759, Springer Nature, 2021, pp. 341–66, doi:10.1007/978-3-030-81685-8_16.","ieee":"P. Agarwal, K. Chatterjee, S. Pathak, A. Pavlogiannis, and V. Toman, “Stateless model checking under a reads-value-from equivalence,” in 33rd International Conference on Computer-Aided Verification , Virtual, 2021, vol. 12759, pp. 341–366.","short":"P. Agarwal, K. Chatterjee, S. Pathak, A. Pavlogiannis, V. Toman, in:, 33rd International Conference on Computer-Aided Verification , Springer Nature, 2021, pp. 341–366.","apa":"Agarwal, P., Chatterjee, K., Pathak, S., Pavlogiannis, A., & Toman, V. (2021). Stateless model checking under a reads-value-from equivalence. In 33rd International Conference on Computer-Aided Verification (Vol. 12759, pp. 341–366). Virtual: Springer Nature. https://doi.org/10.1007/978-3-030-81685-8_16","ama":"Agarwal P, Chatterjee K, Pathak S, Pavlogiannis A, Toman V. Stateless model checking under a reads-value-from equivalence. In: 33rd International Conference on Computer-Aided Verification . Vol 12759. Springer Nature; 2021:341-366. doi:10.1007/978-3-030-81685-8_16"},"title":"Stateless model checking under a reads-value-from equivalence","article_processing_charge":"Yes","external_id":{"isi":["000698732400016"],"arxiv":["2105.06424"]},"author":[{"last_name":"Agarwal","full_name":"Agarwal, Pratyush","first_name":"Pratyush"},{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"},{"full_name":"Pathak, Shreya","last_name":"Pathak","first_name":"Shreya"},{"last_name":"Pavlogiannis","full_name":"Pavlogiannis, Andreas","orcid":"0000-0002-8943-0722","first_name":"Andreas","id":"49704004-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Toman, Viktor","orcid":"0000-0001-9036-063X","last_name":"Toman","id":"3AF3DA7C-F248-11E8-B48F-1D18A9856A87","first_name":"Viktor"}],"project":[{"_id":"25892FC0-B435-11E9-9278-68D0E5697425","name":"Efficient Algorithms for Computer Aided Verification","grant_number":"ICT15-003"},{"grant_number":"863818","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E"}],"language":[{"iso":"eng"}],"file":[{"creator":"dernst","date_updated":"2022-05-13T07:00:20Z","file_size":1516756,"date_created":"2022-05-13T07:00:20Z","file_name":"2021_LNCS_Agarwal.pdf","access_level":"open_access","relation":"main_file","content_type":"application/pdf","checksum":"4b346e5fbaa8b9bdf107819c7b2aadee","file_id":"11368","success":1}],"publication_status":"published","publication_identifier":{"isbn":["978-3-030-81684-1"],"eissn":["1611-3349"],"issn":["0302-9743"],"eisbn":["978-3-030-81685-8"]},"ec_funded":1,"related_material":{"record":[{"relation":"dissertation_contains","id":"10199","status":"public"}]},"volume":"12759 ","oa_version":"Published Version","abstract":[{"lang":"eng","text":"Stateless model checking (SMC) is one of the standard approaches to the verification of concurrent programs. As scheduling non-determinism creates exponentially large spaces of thread interleavings, SMC attempts to partition this space into equivalence classes and explore only a few representatives from each class. The efficiency of this approach depends on two factors: (a) the coarseness of the partitioning, and (b) the time to generate representatives in each class. For this reason, the search for coarse partitionings that are efficiently explorable is an active research challenge. In this work we present RVF-SMC , a new SMC algorithm that uses a novel reads-value-from (RVF) partitioning. Intuitively, two interleavings are deemed equivalent if they agree on the value obtained in each read event, and read events induce consistent causal orderings between them. The RVF partitioning is provably coarser than recent approaches based on Mazurkiewicz and “reads-from” partitionings. Our experimental evaluation reveals that RVF is quite often a very effective equivalence, as the underlying partitioning is exponentially coarser than other approaches. Moreover, RVF-SMC generates representatives very efficiently, as the reduction in the partitioning is often met with significant speed-ups in the model checking task."}],"month":"07","alternative_title":["LNCS"],"scopus_import":"1","ddc":["000"],"date_updated":"2023-09-07T13:30:27Z","department":[{"_id":"KrCh"}],"file_date_updated":"2022-05-13T07:00:20Z","_id":"9987","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"conference":{"name":"CAV: Computer Aided Verification ","end_date":"2021-07-23","location":"Virtual","start_date":"2021-07-20"},"type":"conference"},{"publication_identifier":{"issn":["2663-337X"]},"degree_awarded":"PhD","publication_status":"published","file":[{"file_id":"10008","checksum":"c8475faaf0b680b4971f638f1db16347","access_level":"closed","relation":"source_file","content_type":"application/x-zip-compressed","date_created":"2021-09-13T11:03:24Z","file_name":"thesis_final_Hensel.zip","creator":"shensel","date_updated":"2021-09-15T14:37:30Z","file_size":15022154},{"relation":"main_file","access_level":"open_access","content_type":"application/pdf","checksum":"1a609937aa5275452822f45f2da17f07","file_id":"10014","creator":"shensel","file_size":6583638,"date_updated":"2021-09-14T09:52:47Z","file_name":"thesis_final_Hensel.pdf","date_created":"2021-09-13T14:18:56Z"}],"language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"part_of_dissertation","id":"10012","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"10013"},{"relation":"part_of_dissertation","id":"7489","status":"public"}]},"ec_funded":1,"abstract":[{"text":"The present thesis is concerned with the derivation of weak-strong uniqueness principles for curvature driven interface evolution problems not satisfying a comparison principle. The specific examples being treated are two-phase Navier-Stokes flow with surface tension, modeling the evolution of two incompressible, viscous and immiscible fluids separated by a sharp interface, and multiphase mean curvature flow, which serves as an idealized model for the motion of grain boundaries in an annealing polycrystalline material. Our main results - obtained in joint works with Julian Fischer, Tim Laux and Theresa M. Simon - state that prior to the formation of geometric singularities due to topology changes, the weak solution concept of Abels (Interfaces Free Bound. 9, 2007) to two-phase Navier-Stokes flow with surface tension and the weak solution concept of Laux and Otto (Calc. Var. Partial Differential Equations 55, 2016) to multiphase mean curvature flow (for networks in R^2 or double bubbles in R^3) represents the unique solution to these interface evolution problems within the class of classical solutions, respectively. To the best of the author's knowledge, for interface evolution problems not admitting a geometric comparison principle the derivation of a weak-strong uniqueness principle represented an open problem, so that the works contained in the present thesis constitute the first positive results in this direction. The key ingredient of our approach consists of the introduction of a novel concept of relative entropies for a class of curvature driven interface evolution problems, for which the associated energy contains an interfacial contribution being proportional to the surface area of the evolving (network of) interface(s). The interfacial part of the relative entropy gives sufficient control on the interface error between a weak and a classical solution, and its time evolution can be computed, at least in principle, for any energy dissipating weak solution concept. A resulting stability estimate for the relative entropy essentially entails the above mentioned weak-strong uniqueness principles. The present thesis contains a detailed introduction to our relative entropy approach, which in particular highlights potential applications to other problems in curvature driven interface evolution not treated in this thesis.","lang":"eng"}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"month":"09","supervisor":[{"id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","first_name":"Julian L","full_name":"Fischer, Julian L","orcid":"0000-0002-0479-558X","last_name":"Fischer"}],"date_updated":"2023-09-07T13:30:45Z","ddc":["515"],"department":[{"_id":"GradSch"},{"_id":"JuFi"}],"file_date_updated":"2021-09-15T14:37:30Z","_id":"10007","type":"dissertation","status":"public","has_accepted_license":"1","year":"2021","day":"14","page":"300","date_published":"2021-09-14T00:00:00Z","doi":"10.15479/at:ista:10007","date_created":"2021-09-13T11:12:34Z","publisher":"Institute of Science and Technology Austria","oa":1,"citation":{"mla":"Hensel, Sebastian. Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10007.","ieee":"S. Hensel, “Curvature driven interface evolution: Uniqueness properties of weak solution concepts,” Institute of Science and Technology Austria, 2021.","short":"S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, Institute of Science and Technology Austria, 2021.","apa":"Hensel, S. (2021). Curvature driven interface evolution: Uniqueness properties of weak solution concepts. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10007","ama":"Hensel S. Curvature driven interface evolution: Uniqueness properties of weak solution concepts. 2021. doi:10.15479/at:ista:10007","chicago":"Hensel, Sebastian. “Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10007.","ista":"Hensel S. 2021. Curvature driven interface evolution: Uniqueness properties of weak solution concepts. Institute of Science and Technology Austria."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"full_name":"Hensel, Sebastian","orcid":"0000-0001-7252-8072","last_name":"Hensel","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","first_name":"Sebastian"}],"article_processing_charge":"No","title":"Curvature driven interface evolution: Uniqueness properties of weak solution concepts","project":[{"grant_number":"665385","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"grant_number":"948819","name":"Bridging Scales in Random Materials","call_identifier":"H2020","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d"}]},{"department":[{"_id":"GradSch"},{"_id":"KrCh"}],"file_date_updated":"2021-11-04T07:24:48Z","ddc":["000"],"date_updated":"2023-09-07T13:30:27Z","keyword":["safety","risk","reliability and quality","software"],"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","type":"journal_article","_id":"10191","ec_funded":1,"issue":"OOPSLA","related_material":{"record":[{"id":"10199","status":"public","relation":"dissertation_contains"}]},"volume":5,"language":[{"iso":"eng"}],"file":[{"success":1,"file_id":"10215","checksum":"9d6dce7b611853c529bb7b1915ac579e","content_type":"application/pdf","relation":"main_file","access_level":"open_access","file_name":"2021_ProcACMPL_Bui.pdf","date_created":"2021-11-04T07:24:48Z","file_size":2903485,"date_updated":"2021-11-04T07:24:48Z","creator":"cchlebak"}],"publication_status":"published","publication_identifier":{"eissn":["2475-1421"]},"intvolume":" 5","month":"10","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"In this work we solve the algorithmic problem of consistency verification for the TSO and PSO memory models given a reads-from map, denoted VTSO-rf and VPSO-rf, respectively. For an execution of n events over k threads and d variables, we establish novel bounds that scale as nk+1 for TSO and as nk+1· min(nk2, 2k· d) for PSO. Moreover, based on our solution to these problems, we develop an SMC algorithm under TSO and PSO that uses the RF equivalence. The algorithm is exploration-optimal, in the sense that it is guaranteed to explore each class of the RF partitioning exactly once, and spends polynomial time per class when k is bounded. Finally, we implement all our algorithms in the SMC tool Nidhugg, and perform a large number of experiments over benchmarks from existing literature. Our experimental results show that our algorithms for VTSO-rf and VPSO-rf provide significant scalability improvements over standard alternatives. Moreover, when used for SMC, the RF partitioning is often much coarser than the standard Shasha-Snir partitioning for TSO/PSO, which yields a significant speedup in the model checking task.\r\n\r\n"}],"title":"The reads-from equivalence for the TSO and PSO memory models","external_id":{"arxiv":["2011.11763"]},"article_processing_charge":"No","author":[{"first_name":"Truc Lam","full_name":"Bui, Truc Lam","last_name":"Bui"},{"orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu"},{"full_name":"Gautam, Tushar","last_name":"Gautam","first_name":"Tushar"},{"orcid":"0000-0002-8943-0722","full_name":"Pavlogiannis, Andreas","last_name":"Pavlogiannis","id":"49704004-F248-11E8-B48F-1D18A9856A87","first_name":"Andreas"},{"id":"3AF3DA7C-F248-11E8-B48F-1D18A9856A87","first_name":"Viktor","last_name":"Toman","full_name":"Toman, Viktor","orcid":"0000-0001-9036-063X"}],"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","citation":{"mla":"Bui, Truc Lam, et al. “The Reads-from Equivalence for the TSO and PSO Memory Models.” Proceedings of the ACM on Programming Languages, vol. 5, no. OOPSLA, 164, Association for Computing Machinery, 2021, doi:10.1145/3485541.","apa":"Bui, T. L., Chatterjee, K., Gautam, T., Pavlogiannis, A., & Toman, V. (2021). The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. Association for Computing Machinery. https://doi.org/10.1145/3485541","ama":"Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. 2021;5(OOPSLA). doi:10.1145/3485541","short":"T.L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, V. Toman, Proceedings of the ACM on Programming Languages 5 (2021).","ieee":"T. L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, and V. Toman, “The reads-from equivalence for the TSO and PSO memory models,” Proceedings of the ACM on Programming Languages, vol. 5, no. OOPSLA. Association for Computing Machinery, 2021.","chicago":"Bui, Truc Lam, Krishnendu Chatterjee, Tushar Gautam, Andreas Pavlogiannis, and Viktor Toman. “The Reads-from Equivalence for the TSO and PSO Memory Models.” Proceedings of the ACM on Programming Languages. Association for Computing Machinery, 2021. https://doi.org/10.1145/3485541.","ista":"Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. 2021. The reads-from equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages. 5(OOPSLA), 164."},"project":[{"call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications","grant_number":"863818"},{"_id":"25892FC0-B435-11E9-9278-68D0E5697425","name":"Efficient Algorithms for Computer Aided Verification","grant_number":"ICT15-003"}],"article_number":"164","date_created":"2021-10-27T15:05:34Z","date_published":"2021-10-15T00:00:00Z","doi":"10.1145/3485541","publication":"Proceedings of the ACM on Programming Languages","day":"15","year":"2021","has_accepted_license":"1","oa":1,"publisher":"Association for Computing Machinery","quality_controlled":"1","acknowledgement":"The research was partially funded by the ERC CoG 863818 (ForM-SMArt) and the Vienna Science\r\nand Technology Fund (WWTF) through project ICT15-003."}]