[{"volume":457,"issue":"11","citation":{"chicago":"Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109946.","ama":"Chan S. The average number of integral points on the congruent number curves. Advances in Mathematics. 2024;457(11). doi:10.1016/j.aim.2024.109946","ista":"Chan S. 2024. The average number of integral points on the congruent number curves. Advances in Mathematics. 457(11), 109946.","apa":"Chan, S. (2024). The average number of integral points on the congruent number curves. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109946","mla":"Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics, vol. 457, no. 11, 109946, Elsevier, 2024, doi:10.1016/j.aim.2024.109946.","ieee":"S. Chan, “The average number of integral points on the congruent number curves,” Advances in Mathematics, vol. 457, no. 11. Elsevier, 2024.","short":"S. Chan, Advances in Mathematics 457 (2024)."},"external_id":{"arxiv":["2112.01615"]},"quality_controlled":"1","arxiv":1,"intvolume":" 457","language":[{"iso":"eng"}],"date_created":"2024-09-15T22:01:39Z","oa_version":"Published Version","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","date_published":"2024-11-01T00:00:00Z","type":"journal_article","has_accepted_license":"1","publication_status":"published","department":[{"_id":"TiBr"}],"supplementarymaterial":"no","date_updated":"2026-07-29T10:03:09Z","article_type":"original","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)"},"file":[{"success":1,"content_type":"application/pdf","file_name":"2024_AdvancesMath_Chan.pdf","file_id":"18829","relation":"main_file","checksum":"f555742540ad91a3040aeafd68b1fcde","date_updated":"2025-01-13T08:54:09Z","access_level":"open_access","file_size":564386,"creator":"dernst","date_created":"2025-01-13T08:54:09Z"}],"author":[{"id":"c4c0afc8-9262-11ed-9231-d8b0bc743af1","full_name":"Chan, Yik Tung","orcid":"0000-0001-8467-4106","first_name":"Yik Tung","last_name":"Chan"}],"abstract":[{"text":" We show that the total number of non-torsion integral points on the elliptic curves ED : y\r\n2 = x3 − D2x, where D ranges over positive squarefree integers less than N, is O(N(log N)\r\n−1/4+ǫ). The proof involves a discriminant-lowering procedure on integral binary quartic forms and an application of Heath-Brown’s method on estimating the average size of the 2-Selmer group of the curves in this family.","lang":"eng"}],"das_tickbox":"0","corr_author":"1","article_number":"109946","OA_type":"hybrid","scopus_import":"1","title":"The average number of integral points on the congruent number curves","article_processing_charge":"Yes (via OA deal)","oa":1,"_id":"18064","status":"public","month":"11","year":"2024","publication":"Advances in Mathematics","day":"01","license":"https://creativecommons.org/licenses/by/4.0/","publication_identifier":{"issn":["0001-8708"],"eissn":["1090-2082"]},"file_date_updated":"2025-01-13T08:54:09Z","OA_place":"publisher","doi":"10.1016/j.aim.2024.109946","publisher":"Elsevier","fulldoi":"https://doi.org/10.1016/j.aim.2024.109946","ddc":["510"]},{"corr_author":"1","das_tickbox":"0","author":[{"last_name":"Glas","full_name":"Glas, Jakob","id":"d6423cba-dc74-11ea-a0a7-ee61689ff5fb","first_name":"Jakob"},{"last_name":"Hase-Liu","first_name":"Matthew ","full_name":"Hase-Liu, Matthew "}],"related_material":{"record":[{"status":"public","relation":"earlier_version","id":"18295"}]},"abstract":[{"lang":"eng","text":"We study the singularities of the moduli space of degree e maps from smooth genus g curves to an arbitrary smooth hypersurface of low degree. For e large compared to g, we show that these moduli spaces have at worst terminal singularities. Our main approach is to study the jet schemes of these moduli spaces by developing a suitable form of the circle method."}],"day":"19","OA_place":"repository","doi":"10.48550/arXiv.2412.14923","fulldoi":"https://doi.org/10.48550/arXiv.2412.14923","title":"Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method","oa":1,"article_processing_charge":"No","year":"2024","_id":"19013","month":"12","status":"public","publication":"arXiv","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2412.14923"}],"external_id":{"arxiv":["2412.14923"]},"citation":{"short":"J. Glas, M. Hase-Liu, ArXiv (n.d.).","ieee":"J. Glas and M. Hase-Liu, “Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method,” arXiv. .","mla":"Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, doi:10.48550/arXiv.2412.14923.","apa":"Glas, J., & Hase-Liu, M. (n.d.). Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv. https://doi.org/10.48550/arXiv.2412.14923","ama":"Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv. doi:10.48550/arXiv.2412.14923","ista":"Glas J, Hase-Liu M. Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method. arXiv, 10.48550/arXiv.2412.14923.","chicago":"Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2412.14923."},"publication_status":"draft","department":[{"_id":"TiBr"}],"date_updated":"2026-07-29T10:05:58Z","supplementarymaterial":"no","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)"},"arxiv":1,"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2025-02-07T12:04:11Z","oa_version":"Preprint","language":[{"iso":"eng"}],"researchdata_availability":"no","date_published":"2024-12-19T00:00:00Z","type":"preprint"},{"publication_status":"draft","department":[{"_id":"GradSch"},{"_id":"VlKo"}],"date_updated":"2026-07-29T12:56:51Z","date_published":"2024-09-12T00:00:00Z","type":"preprint","arxiv":1,"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","date_created":"2025-07-23T11:21:52Z","oa_version":"Preprint","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2409.08119","open_access":"1"}],"external_id":{"arxiv":["2409.08119"]},"citation":{"ieee":"M. Dvorak and V. Kolmogorov, “Duality theory in linear optimization and its extensions -- formally verified,” arXiv. .","short":"M. Dvorak, V. Kolmogorov, ArXiv (n.d.).","ama":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally verified. arXiv. doi:10.48550/arXiv.2409.08119","ista":"Dvorak M, Kolmogorov V. Duality theory in linear optimization and its extensions -- formally verified. arXiv, 2409.08119.","mla":"Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally Verified.” ArXiv, 2409.08119, doi:10.48550/arXiv.2409.08119.","apa":"Dvorak, M., & Kolmogorov, V. (n.d.). Duality theory in linear optimization and its extensions -- formally verified. arXiv. https://doi.org/10.48550/arXiv.2409.08119","chicago":"Dvorak, Martin, and Vladimir Kolmogorov. “Duality Theory in Linear Optimization and Its Extensions -- Formally Verified.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.08119."},"acknowledgement":"We would like to thank David Bartl and Jasmin Blanchette for frequent consultations. We would also like to express gratitude to Andrew Yang for the proof of Finset.univ sum of zero when not and to Henrik B¨oving for a help with generalization from extended rationals to extended linearly ordered fields. We would also like to acknowledge Antoine Chambert-Loir, Apurva Nakade, Ya¨el Dillies, Richard Copley, Edward van de Meent, Markus Himmel, Mario Carneiro, and Kevin Buzzard.","OA_place":"repository","doi":"10.48550/arXiv.2409.08119","fulldoi":"https://doi.org/10.48550/arXiv.2409.08119","day":"12","year":"2024","month":"09","_id":"20071","status":"public","publication":"arXiv","title":"Duality theory in linear optimization and its extensions -- formally verified","oa":1,"article_processing_charge":"No","article_number":"2409.08119","corr_author":"1","keyword":["Farkas lemma","linear programming","extended reals","calculus of inductive constructions"],"OA_type":"green","related_material":{"link":[{"url":"https://github.com/madvorak/duality/tree/v3.2","description":"full version of all definitions, statement, and proofs","relation":"software"}],"record":[{"relation":"later_version","id":"22607","status":"public"},{"status":"public","relation":"dissertation_contains","id":"21393"}]},"abstract":[{"text":"Farkas established that a system of linear inequalities has a solution if and only if we cannot obtain a contradiction by taking a linear combination of the inequalities. We state and formally prove several Farkas-like theorems over linearly ordered fields in Lean 4. Furthermore, we extend duality theory to the case when some coefficients are allowed to take \"infinite values\".","lang":"eng"}],"author":[{"orcid":"0000-0001-5293-214X","first_name":"Martin","full_name":"Dvorak, Martin","id":"40ED02A8-C8B4-11E9-A9C0-453BE6697425","last_name":"Dvorak"},{"first_name":"Vladimir","id":"3D50B0BA-F248-11E8-B48F-1D18A9856A87","full_name":"Kolmogorov, Vladimir","last_name":"Kolmogorov"}]},{"isi":1,"corr_author":"1","article_number":"L032108","abstract":[{"lang":"eng","text":"The tendency of materials to order in triboelectric series has prompted suggestions that contact electrification might have a single, unified underlying description. However, the possibility of “triboelectric cycles,” i.e., series that loop back onto themselves, is seemingly at odds with such a coherent description. In this work, we propose that if multiple charge carrying species are at play, both triboelectric series and cycles are possible. We show how series arise naturally if only a single charge carrier species is involved and if the driving mechanism is approach toward thermodynamic equilibrium, and simultaneously, that cycles are forbidden under such conditions. Suspecting multiple carriers might relax the situation, we affirm this is the case by explicit construction of a cycle involving two carriers, and then extend this to show how more complex cycles emerge. Our work highlights the importance of series and cycles towards determining the underlying mechanism(s) and carrier(s) in contact electrification."}],"related_material":{"record":[{"relation":"dissertation_contains","id":"20203","status":"public"}]},"pmid":1,"author":[{"last_name":"Sobarzo Ponce","first_name":"Juan Carlos A","full_name":"Sobarzo Ponce, Juan Carlos A","id":"4B807D68-AE37-11E9-AC72-31CAE5697425"},{"last_name":"Waitukaitis","full_name":"Waitukaitis, Scott R","id":"3A1FFC16-F248-11E8-B48F-1D18A9856A87","first_name":"Scott R","orcid":"0000-0002-2299-3176"}],"fulldoi":"https://doi.org/10.1103/PhysRevE.109.L032108","doi":"10.1103/PhysRevE.109.L032108","publisher":"American Physical Society","publication_identifier":{"issn":["2470-0045"],"eissn":["2470-0053"]},"day":"29","publication":"Physical Review E","status":"public","_id":"15322","month":"03","year":"2024","article_processing_charge":"No","scopus_import":"1","title":"Multiple charge carrier species as a possible cause for triboelectric cycles","citation":{"short":"J.C.A. Sobarzo Ponce, S.R. Waitukaitis, Physical Review E 109 (2024).","ieee":"J. C. A. Sobarzo Ponce and S. R. Waitukaitis, “Multiple charge carrier species as a possible cause for triboelectric cycles,” Physical Review E, vol. 109, no. 3. American Physical Society, 2024.","apa":"Sobarzo Ponce, J. C. A., & Waitukaitis, S. R. (2024). Multiple charge carrier species as a possible cause for triboelectric cycles. Physical Review E. American Physical Society. https://doi.org/10.1103/PhysRevE.109.L032108","mla":"Sobarzo Ponce, Juan Carlos A., and Scott R. Waitukaitis. “Multiple Charge Carrier Species as a Possible Cause for Triboelectric Cycles.” Physical Review E, vol. 109, no. 3, L032108, American Physical Society, 2024, doi:10.1103/PhysRevE.109.L032108.","ama":"Sobarzo Ponce JCA, Waitukaitis SR. Multiple charge carrier species as a possible cause for triboelectric cycles. Physical Review E. 2024;109(3). doi:10.1103/PhysRevE.109.L032108","ista":"Sobarzo Ponce JCA, Waitukaitis SR. 2024. Multiple charge carrier species as a possible cause for triboelectric cycles. Physical Review E. 109(3), L032108.","chicago":"Sobarzo Ponce, Juan Carlos A, and Scott R Waitukaitis. “Multiple Charge Carrier Species as a Possible Cause for Triboelectric Cycles.” Physical Review E. American Physical Society, 2024. https://doi.org/10.1103/PhysRevE.109.L032108."},"external_id":{"pmid":["38632754"],"isi":["001199745200004"]},"issue":"3","volume":109,"article_type":"letter_note","date_updated":"2026-07-29T13:11:24Z","publication_status":"published","department":[{"_id":"ScWa"}],"type":"journal_article","date_published":"2024-03-29T00:00:00Z","language":[{"iso":"eng"}],"oa_version":"None","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2024-04-14T22:01:03Z","quality_controlled":"1","intvolume":" 109"},{"article_number":"34","isi":1,"corr_author":"1","author":[{"last_name":"Filakovský","full_name":"Filakovský, Marek","id":"3E8AF77E-F248-11E8-B48F-1D18A9856A87","first_name":"Marek"},{"first_name":"Tamio Vesa","full_name":"Nakajima, Tamio Vesa","last_name":"Nakajima"},{"last_name":"Opršal","full_name":"Opršal, Jakub","id":"ec596741-c539-11ec-b829-c79322a91242","orcid":"0000-0003-1245-3456","first_name":"Jakub"},{"first_name":"Gianluca","full_name":"Tasinato, Gianluca","id":"0433290C-AF8F-11E9-A4C7-F729E6697425","last_name":"Tasinato"},{"full_name":"Wagner, Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","first_name":"Uli","orcid":"0000-0002-1494-0568","last_name":"Wagner"}],"related_material":{"record":[{"status":"public","id":"22247","relation":"later_version"},{"id":"20339","relation":"dissertation_contains","status":"public"}]},"abstract":[{"text":"A linearly ordered (LO) k-colouring of a hypergraph is a colouring of its vertices with colours 1, … , k such that each edge contains a unique maximal colour. Deciding whether an input hypergraph admits LO k-colouring with a fixed number of colours is NP-complete (and in the special case of graphs, LO colouring coincides with the usual graph colouring). Here, we investigate the complexity of approximating the \"linearly ordered chromatic number\" of a hypergraph. We prove that the following promise problem is NP-complete: Given a 3-uniform hypergraph, distinguish between the case that it is LO 3-colourable, and the case that it is not even LO 4-colourable. We prove this result by a combination of algebraic, topological, and combinatorial methods, building on and extending a topological approach for studying approximate graph colouring introduced by Krokhin, Opršal, Wrochna, and Živný (2023).","lang":"eng"}],"day":"01","publication_identifier":{"isbn":["9783959773119"],"eissn":["1868-8969"]},"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","file_date_updated":"2024-03-25T07:44:30Z","doi":"10.4230/LIPIcs.STACS.2024.34","ddc":["510"],"fulldoi":"https://doi.org/10.4230/LIPIcs.STACS.2024.34","title":"Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs","scopus_import":"1","oa":1,"article_processing_charge":"No","year":"2024","_id":"15168","status":"public","month":"03","conference":{"name":"STACS: Symposium on Theoretical Aspects of Computer Science","end_date":"2024-03-14","location":"Clermont-Ferrand, France","start_date":"2024-03-12"},"publication":"41st International Symposium on Theoretical Aspects of Computer Science","alternative_title":["LIPIcs"],"ec_funded":1,"external_id":{"isi":["001300393400034"],"arxiv":["2312.12981"]},"citation":{"short":"M. Filakovský, T.V. Nakajima, J. Opršal, G. Tasinato, U. Wagner, in:, 41st International Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.","ieee":"M. Filakovský, T. V. Nakajima, J. Opršal, G. Tasinato, and U. Wagner, “Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs,” in 41st International Symposium on Theoretical Aspects of Computer Science, Clermont-Ferrand, France, 2024, vol. 289.","mla":"Filakovský, Marek, et al. “Hardness of Linearly Ordered 4-Colouring of 3-Colourable 3-Uniform Hypergraphs.” 41st International Symposium on Theoretical Aspects of Computer Science, vol. 289, 34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.STACS.2024.34.","apa":"Filakovský, M., Nakajima, T. V., Opršal, J., Tasinato, G., & Wagner, U. (2024). Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. In 41st International Symposium on Theoretical Aspects of Computer Science (Vol. 289). Clermont-Ferrand, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.STACS.2024.34","ama":"Filakovský M, Nakajima TV, Opršal J, Tasinato G, Wagner U. Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. In: 41st International Symposium on Theoretical Aspects of Computer Science. Vol 289. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.STACS.2024.34","ista":"Filakovský M, Nakajima TV, Opršal J, Tasinato G, Wagner U. 2024. Hardness of linearly ordered 4-colouring of 3-colourable 3-uniform hypergraphs. 41st International Symposium on Theoretical Aspects of Computer Science. STACS: Symposium on Theoretical Aspects of Computer Science, LIPIcs, vol. 289, 34.","chicago":"Filakovský, Marek, Tamio Vesa Nakajima, Jakub Opršal, Gianluca Tasinato, and Uli Wagner. “Hardness of Linearly Ordered 4-Colouring of 3-Colourable 3-Uniform Hypergraphs.” In 41st International Symposium on Theoretical Aspects of Computer Science, Vol. 289. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. https://doi.org/10.4230/LIPIcs.STACS.2024.34."},"project":[{"_id":"26611F5C-B435-11E9-9278-68D0E5697425","name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312","call_identifier":"FWF"},{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413","call_identifier":"H2020"}],"acknowledgement":"Marek Filakovský: This research was supported by Charles University (project PRIMUS/\r\n21/SCI/014), the Austrian Science Fund (FWF project P31312-N35), and MSCAfellow5_MUNI\r\n(CZ.02.01.01/00/22_010/0003229). Tamio-Vesa Nakajima: This research was funded by UKRI EP/X024431/1 and by a Clarendon Fund Scholarship. All data is provided in full in the results section of this paper. Jakub Opršal: This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No 101034413. Uli Wagner: This research was supported by the Austrian Science Fund (FWF project P31312-N35).","volume":289,"publication_status":"published","department":[{"_id":"UlWa"}],"date_updated":"2026-07-29T13:13:17Z","file":[{"success":1,"file_name":"2024_LIPICs_Filakovsky.pdf","content_type":"application/pdf","relation":"main_file","checksum":"0524d4189fd1ed08989546511343edf3","file_id":"15175","date_updated":"2024-03-25T07:44:30Z","access_level":"open_access","creator":"dernst","file_size":927290,"date_created":"2024-03-25T07:44:30Z"}],"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)"},"quality_controlled":"1","arxiv":1,"intvolume":" 289","oa_version":"Published Version","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_created":"2024-03-24T23:00:59Z","language":[{"iso":"eng"}],"date_published":"2024-03-01T00:00:00Z","has_accepted_license":"1","type":"conference"},{"corr_author":"1","abstract":[{"text":"We prove the Eigenstate Thermalisation Hypothesis for Wigner matrices\r\nuniformly in the entire spectrum, in particular near the spectral edges, with a\r\nbound on the fluctuation that is optimal for any observable. This complements\r\nearlier works of Cipolloni et. al. (Comm. Math. Phys. 388, 2021; Forum Math.,\r\nSigma 10, 2022) and Benigni et. al. (Comm. Math. Phys. 391, 2022; arXiv:\r\n2303.11142) that were restricted either to the bulk of the spectrum or to\r\nspecial observables. As a main ingredient, we prove a new multi-resolvent local\r\nlaw that optimally accounts for the edge scaling.","lang":"eng"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"}]},"author":[{"orcid":"0000-0002-4901-7992","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","full_name":"Cipolloni, Giorgio","last_name":"Cipolloni"},{"first_name":"László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","last_name":"Erdös"},{"last_name":"Henheik","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"}],"fulldoi":"https://doi.org/10.48550/arXiv.2309.05488","OA_place":"repository","doi":"10.48550/arXiv.2309.05488","day":"17","publication":"arXiv","year":"2024","status":"public","_id":"19545","month":"12","oa":1,"article_processing_charge":"No","title":"Eigenstate thermalisation at the edge for Wigner matrices","external_id":{"arxiv":["2309.05488"]},"citation":{"chicago":"Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Eigenstate Thermalisation at the Edge for Wigner Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2309.05488.","ieee":"G. Cipolloni, L. Erdös, and S. J. Henheik, “Eigenstate thermalisation at the edge for Wigner matrices,” arXiv. .","short":"G. Cipolloni, L. Erdös, S.J. Henheik, ArXiv (n.d.).","ista":"Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for Wigner matrices. arXiv, 10.48550/arXiv.2309.05488.","ama":"Cipolloni G, Erdös L, Henheik SJ. Eigenstate thermalisation at the edge for Wigner matrices. arXiv. doi:10.48550/arXiv.2309.05488","apa":"Cipolloni, G., Erdös, L., & Henheik, S. J. (n.d.). Eigenstate thermalisation at the edge for Wigner matrices. arXiv. https://doi.org/10.48550/arXiv.2309.05488","mla":"Cipolloni, Giorgio, et al. “Eigenstate Thermalisation at the Edge for Wigner Matrices.” ArXiv, doi:10.48550/arXiv.2309.05488."},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2309.05488","open_access":"1"}],"ec_funded":1,"acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","project":[{"call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"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)"},"date_updated":"2026-07-29T13:18:16Z","publication_status":"draft","department":[{"_id":"LaEr"}],"type":"preprint","date_published":"2024-12-17T00:00:00Z","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","date_created":"2025-04-11T08:19:22Z","oa_version":"Preprint","language":[{"iso":"eng"}],"arxiv":1},{"publication":"arXiv","type":"preprint","_id":"19550","month":"10","date_published":"2024-10-21T00:00:00Z","status":"public","year":"2024","article_processing_charge":"No","language":[{"iso":"eng"}],"oa":1,"oa_version":"Preprint","date_created":"2025-04-11T11:43:58Z","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","title":"Multi-band superconductors have enhanced critical temperatures","arxiv":1,"fulldoi":"https://doi.org/10.48550/arXiv.2409.17297","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)"},"OA_place":"repository","doi":"10.48550/arXiv.2409.17297","date_updated":"2026-07-29T13:18:16Z","day":"21","publication_status":"draft","department":[{"_id":"LaEr"},{"_id":"RoSe"}],"abstract":[{"lang":"eng","text":"We introduce a multi-band BCS free energy functional and prove that for a\r\nmulti-band superconductor the effect of inter-band coupling can only increase\r\nthe critical temperature, irrespective of its attractive or repulsive nature\r\nand its strength. Further, for weak coupling and weaker inter-band coupling, we\r\nprove that the dependence of the increase in critical temperature on the\r\ninter-band coupling is (1) linear, if there are two or more equally strongly\r\nsuperconducting bands, or (2) quadratic, if there is only one dominating band."}],"related_material":{"record":[{"id":"22290","relation":"later_version","status":"public"},{"id":"19540","relation":"dissertation_contains","status":"public"}]},"author":[{"last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"},{"full_name":"Langmann, Edwin","first_name":"Edwin","last_name":"Langmann"},{"last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard","orcid":"0000-0003-4476-2288","first_name":"Asbjørn Bækgaard"}],"citation":{"apa":"Henheik, S. J., Langmann, E., & Lauritsen, A. B. (n.d.). Multi-band superconductors have enhanced critical temperatures. arXiv. https://doi.org/10.48550/arXiv.2409.17297","mla":"Henheik, Sven Joscha, et al. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” ArXiv, doi:10.48550/arXiv.2409.17297.","ista":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv, 10.48550/arXiv.2409.17297.","ama":"Henheik SJ, Langmann E, Lauritsen AB. Multi-band superconductors have enhanced critical temperatures. arXiv. doi:10.48550/arXiv.2409.17297","short":"S.J. Henheik, E. Langmann, A.B. Lauritsen, ArXiv (n.d.).","ieee":"S. J. Henheik, E. Langmann, and A. B. Lauritsen, “Multi-band superconductors have enhanced critical temperatures,” arXiv. .","chicago":"Henheik, Sven Joscha, Edwin Langmann, and Asbjørn Bækgaard Lauritsen. “Multi-Band Superconductors Have Enhanced Critical Temperatures.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2409.17297."},"external_id":{"arxiv":["2409.17297"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2409.17297","open_access":"1"}],"corr_author":"1"},{"day":"15","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"publisher":"Elsevier","file_date_updated":"2025-06-24T13:14:21Z","OA_place":"publisher","doi":"10.1016/j.jfa.2024.110495","ddc":["510"],"fulldoi":"https://doi.org/10.1016/j.jfa.2024.110495","title":"Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices","scopus_import":"1","oa":1,"article_processing_charge":"Yes (via OA deal)","year":"2024","status":"public","_id":"17049","month":"08","publication":"Journal of Functional Analysis","article_number":"110495","corr_author":"1","isi":1,"OA_type":"hybrid","author":[{"last_name":"Cipolloni","orcid":"0000-0002-4901-7992","first_name":"Giorgio","full_name":"Cipolloni, Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös"},{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik"},{"full_name":"Schröder, Dominik J","id":"408ED176-F248-11E8-B48F-1D18A9856A87","first_name":"Dominik J","orcid":"0000-0002-2904-1856","last_name":"Schröder"}],"related_material":{"record":[{"id":"19540","relation":"dissertation_contains","status":"public"}]},"abstract":[{"text":"We consider large non-Hermitian NxN matrices with an additive independent, identically distributed (i.i.d.) noise for each matrix elements. We show that already a small noise of variance 1/N completely thermalises the bulk singular vectors, in particular they satisfy the strong form of Quantum Unique Ergodicity (QUE) with an optimal speed of convergence. In physics terms, we thus extend the Eigenstate Thermalisation Hypothesis, formulated originally by Deutsch [34] and proven for Wigner matrices in [23], to arbitrary non-Hermitian matrices with an i.i.d. noise. As a consequence we obtain an optimal lower bound on the diagonal overlaps of the corresponding non-Hermitian eigenvectors. This quantity, also known as the (square of the) eigenvalue condition number measuring the sensitivity of the eigenvalue to small perturbations, has notoriously escaped rigorous treatment beyond the explicitly computable Ginibre ensemble apart from the very recent upper bounds given in [7] and [45]. As a key tool, we develop a new systematic decomposition of general observables in random matrix theory that governs the size of products of resolvents with deterministic matrices in between.","lang":"eng"}],"publication_status":"published","department":[{"_id":"LaEr"}],"date_updated":"2026-07-29T13:18:17Z","article_type":"original","file":[{"date_updated":"2025-06-24T13:14:21Z","file_id":"19891","relation":"main_file","checksum":"07d3f73e0c56e68eb110851842c22ee0","content_type":"application/pdf","file_name":"2025_JourFunctionalAnalysis_Cipolloni.pdf","success":1,"date_created":"2025-06-24T13:14:21Z","file_size":1374854,"creator":"dernst","access_level":"open_access"}],"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)"},"intvolume":" 287","quality_controlled":"1","oa_version":"Published Version","date_created":"2024-05-26T22:00:57Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","language":[{"iso":"eng"}],"date_published":"2024-08-15T00:00:00Z","has_accepted_license":"1","type":"journal_article","ec_funded":1,"issue":"4","external_id":{"isi":["001325502400001"]},"citation":{"mla":"Cipolloni, Giorgio, et al. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” Journal of Functional Analysis, vol. 287, no. 4, 110495, Elsevier, 2024, doi:10.1016/j.jfa.2024.110495.","apa":"Cipolloni, G., Erdös, L., Henheik, S. J., & Schröder, D. J. (2024). Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2024.110495","ama":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 2024;287(4). doi:10.1016/j.jfa.2024.110495","ista":"Cipolloni G, Erdös L, Henheik SJ, Schröder DJ. 2024. Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices. Journal of Functional Analysis. 287(4), 110495.","short":"G. Cipolloni, L. Erdös, S.J. Henheik, D.J. Schröder, Journal of Functional Analysis 287 (2024).","ieee":"G. Cipolloni, L. Erdös, S. J. Henheik, and D. J. Schröder, “Optimal lower bound on eigenvector overlaps for non-Hermitian random matrices,” Journal of Functional Analysis, vol. 287, no. 4. Elsevier, 2024.","chicago":"Cipolloni, Giorgio, László Erdös, Sven Joscha Henheik, and Dominik J Schröder. “Optimal Lower Bound on Eigenvector Overlaps for Non-Hermitian Random Matrices.” Journal of Functional Analysis. Elsevier, 2024. https://doi.org/10.1016/j.jfa.2024.110495."},"project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331"}],"volume":287,"acknowledgement":"Supported by ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nSupported by the SNSF Ambizione Grant PZ00P2_209089."},{"date_published":"2024-10-30T00:00:00Z","type":"journal_article","arxiv":1,"intvolume":" 28","quality_controlled":"1","language":[{"iso":"eng"}],"date_created":"2024-12-15T23:01:51Z","oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_type":"original","publication_status":"published","department":[{"_id":"LaEr"}],"date_updated":"2026-07-29T13:18:17Z","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","call_identifier":"H2020"}],"volume":28,"acknowledgement":"LE and JH were supported by the ERC Advanced Grant łRMTBeyondž No. 101020331","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2402.17609"}],"page":"2025-2083","citation":{"apa":"Cipolloni, G., Erdös, L., & Henheik, S. J. (2024). Out-of-time-ordered correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics. International Press of Boston. https://doi.org/10.4310/ATMP.241031013250","mla":"Cipolloni, Giorgio, et al. “Out-of-Time-Ordered Correlators for Wigner Matrices.” Advances in Theoretical and Mathematical Physics, vol. 28, no. 6, International Press of Boston, 2024, pp. 2025–83, doi:10.4310/ATMP.241031013250.","ama":"Cipolloni G, Erdös L, Henheik SJ. Out-of-time-ordered correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics. 2024;28(6):2025-2083. doi:10.4310/ATMP.241031013250","ista":"Cipolloni G, Erdös L, Henheik SJ. 2024. Out-of-time-ordered correlators for Wigner matrices. Advances in Theoretical and Mathematical Physics. 28(6), 2025–2083.","short":"G. Cipolloni, L. Erdös, S.J. Henheik, Advances in Theoretical and Mathematical Physics 28 (2024) 2025–2083.","ieee":"G. Cipolloni, L. Erdös, and S. J. Henheik, “Out-of-time-ordered correlators for Wigner matrices,” Advances in Theoretical and Mathematical Physics, vol. 28, no. 6. International Press of Boston, pp. 2025–2083, 2024.","chicago":"Cipolloni, Giorgio, László Erdös, and Sven Joscha Henheik. “Out-of-Time-Ordered Correlators for Wigner Matrices.” Advances in Theoretical and Mathematical Physics. International Press of Boston, 2024. https://doi.org/10.4310/ATMP.241031013250."},"external_id":{"arxiv":["2402.17609"]},"ec_funded":1,"issue":"6","_id":"18656","month":"10","status":"public","year":"2024","publication":"Advances in Theoretical and Mathematical Physics","scopus_import":"1","title":"Out-of-time-ordered correlators for Wigner matrices","article_processing_charge":"No","oa":1,"doi":"10.4310/ATMP.241031013250","OA_place":"repository","publisher":"International Press of Boston","fulldoi":"https://doi.org/10.4310/ATMP.241031013250","day":"30","publication_identifier":{"issn":["1095-0761"],"eissn":["1095-0753"]},"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"abstract":[{"text":"We consider the time evolution of the out-of-time-ordered correlator (OTOC) of two general observables \r\n and \r\n in a mean field chaotic quantum system described by a random Wigner matrix as its Hamiltonian. We rigorously identify three time regimes separated by the physically relevant scrambling and relaxation times. The main feature of our analysis is that we express the error terms in the optimal Schatten (tracial) norms of the observables, allowing us to track the exact dependence of the errors on their rank. In particular, for significantly overlapping observables with low rank the OTOC is shown to exhibit a significant local maximum at the scrambling time, a feature that may not have been noticed in the physics literature before. Our main tool is a novel multi-resolvent local law with Schatten norms that unifies and improves previous local laws involving either the much cruder operator norm (cf. [10]) or the Hilbert-Schmidt norm (cf. [11]).","lang":"eng"}],"author":[{"orcid":"0000-0002-4901-7992","first_name":"Giorgio","full_name":"Cipolloni, Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87","last_name":"Cipolloni"},{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","orcid":"0000-0001-5366-9603","first_name":"László"},{"last_name":"Henheik","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X"}],"corr_author":"1","das_tickbox":"1","OA_type":"green"},{"date_updated":"2026-07-29T13:18:17Z","publication_status":"draft","department":[{"_id":"LaEr"}],"date_created":"2025-04-11T08:48:21Z","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa_version":"Preprint","language":[{"iso":"eng"}],"arxiv":1,"type":"preprint","date_published":"2024-11-03T00:00:00Z","ec_funded":1,"external_id":{"arxiv":["2410.06813"]},"citation":{"chicago":"Erdös, László, Sven Joscha Henheik, and Volodymyr Riabov. “Cusp Universality for Correlated Random Matrices.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.06813.","apa":"Erdös, L., Henheik, S. J., & Riabov, V. (n.d.). Cusp universality for correlated random matrices. arXiv. https://doi.org/10.48550/arXiv.2410.06813","mla":"Erdös, László, et al. “Cusp Universality for Correlated Random Matrices.” ArXiv, doi:10.48550/arXiv.2410.06813.","ama":"Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices. arXiv. doi:10.48550/arXiv.2410.06813","ista":"Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices. arXiv, 10.48550/arXiv.2410.06813.","short":"L. Erdös, S.J. Henheik, V. Riabov, ArXiv (n.d.).","ieee":"L. Erdös, S. J. Henheik, and V. Riabov, “Cusp universality for correlated random matrices,” arXiv. ."},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2410.06813","open_access":"1"}],"acknowledgement":"Supported by the ERC Advanced Grant \"RMTBeyond\"\r\nNo. 101020331.","project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"day":"03","fulldoi":"https://doi.org/10.48550/arXiv.2410.06813","OA_place":"repository","doi":"10.48550/arXiv.2410.06813","oa":1,"article_processing_charge":"No","title":"Cusp universality for correlated random matrices","publication":"arXiv","year":"2024","_id":"19547","month":"11","status":"public","corr_author":"1","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","full_name":"Erdös, László","first_name":"László","orcid":"0000-0001-5366-9603","last_name":"Erdös"},{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik"},{"last_name":"Riabov","first_name":"Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","full_name":"Riabov, Volodymyr"}],"abstract":[{"text":"For correlated real symmetric or complex Hermitian random matrices, we prove\r\nthat the local eigenvalue statistics at any cusp singularity are universal.\r\nSince the density of states typically exhibits only square root edge or cubic\r\nroot cusp singularities, our result completes the proof of the\r\nWigner-Dyson-Mehta universality conjecture in all spectral regimes for a very\r\ngeneral class of random matrices. Previously only the bulk and the edge\r\nuniversality were established in this generality [arXiv:1804.07744], while cusp\r\nuniversality was proven only for Wigner-type matrices with independent entries\r\n[arXiv:1809.03971, arXiv:1811.04055]. As our main technical input, we prove an\r\noptimal local law at the cusp using the Zigzag strategy, a recursive tandem of\r\nthe characteristic flow method and a Green function comparison argument.\r\nMoreover, our proof of the optimal local law holds uniformly in the spectrum,\r\nthus also re-establishing universality of the local eigenvalue statistics in\r\nthe previously studied bulk [arXiv:1705.10661] and edge [arXiv:1804.07744]\r\nregimes.","lang":"eng"}],"related_material":{"record":[{"status":"public","id":"20322","relation":"later_version"},{"status":"public","relation":"dissertation_contains","id":"20575"},{"status":"public","relation":"dissertation_contains","id":"19540"}]}},{"language":[{"iso":"eng"}],"article_processing_charge":"No","oa_version":"Preprint","date_created":"2025-04-11T11:54:56Z","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","oa":1,"title":"Response theory for locally gapped systems","arxiv":1,"type":"preprint","publication":"arXiv","_id":"19551","status":"public","month":"10","date_published":"2024-10-14T00:00:00Z","year":"2024","date_updated":"2026-07-29T13:18:16Z","department":[{"_id":"LaEr"}],"day":"14","publication_status":"draft","fulldoi":"https://doi.org/10.48550/arXiv.2410.10809","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)"},"doi":"10.48550/arXiv.2410.10809","OA_place":"repository","author":[{"last_name":"Henheik","orcid":"0000-0003-1106-327X","first_name":"Sven Joscha","full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb"},{"last_name":"Wessel","full_name":"Wessel, Tom","first_name":"Tom"}],"abstract":[{"text":"We introduce a notion of a \\emph{local gap} for interacting many-body quantum lattice systems and prove the validity of response theory and Kubo's formula for localized perturbations in such settings.\r\nOn a high level, our result shows that the usual spectral gap condition, concerning the system as a whole, is not a necessary condition for understanding local properties of the system.\r\nMore precisely, we say that an equilibrium state ρ0 of a Hamiltonian H0 is locally gapped in Λgap⊂Λ, whenever the Liouvillian −i[H0,⋅] is almost invertible on local observables supported in Λgap when tested in ρ0.\r\nTo put this into context, we provide other alternative notions of a local gap and discuss their relations.\r\nThe validity of response theory is based on the construction of \\emph{non-equilibrium almost stationary states} (NEASSs).\r\nBy controlling locality properties of the NEASS construction, we show that response theory holds to any order, whenever the perturbation \\(\\epsilon V\\) acts in a region which is further than |logϵ| away from the non-gapped region Λ∖Λgap.","lang":"eng"}],"related_material":{"record":[{"id":"19540","relation":"dissertation_contains","status":"public"}]},"citation":{"chicago":"Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped Systems.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2410.10809.","apa":"Henheik, S. J., & Wessel, T. (n.d.). Response theory for locally gapped systems. arXiv. https://doi.org/10.48550/arXiv.2410.10809","mla":"Henheik, Sven Joscha, and Tom Wessel. “Response Theory for Locally Gapped Systems.” ArXiv, doi:10.48550/arXiv.2410.10809.","ama":"Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv. doi:10.48550/arXiv.2410.10809","ista":"Henheik SJ, Wessel T. Response theory for locally gapped systems. arXiv, 10.48550/arXiv.2410.10809.","short":"S.J. Henheik, T. Wessel, ArXiv (n.d.).","ieee":"S. J. Henheik and T. Wessel, “Response theory for locally gapped systems,” arXiv. ."},"external_id":{"arxiv":["2410.10809"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2410.10809","open_access":"1"}],"corr_author":"1"},{"ddc":["530"],"fulldoi":"https://doi.org/10.1063/5.0200833","publisher":"AIP Publishing","doi":"10.1063/5.0200833","file_date_updated":"2024-05-13T08:07:44Z","publication_identifier":{"eissn":["1089-7550"],"issn":["0021-8979"]},"day":"28","publication":"Journal of Applied Physics","year":"2024","status":"public","_id":"15359","month":"04","oa":1,"article_processing_charge":"Yes (in subscription journal)","title":"Molecular dynamics simulations of heat transport using machine-learned potentials: A mini-review and tutorial on GPUMD with neuroevolution potentials","scopus_import":"1","article_number":"161101","isi":1,"das_tickbox":"1","abstract":[{"text":"Molecular dynamics (MD) simulations play an important role in understanding and engineering heat transport properties of complex materials. An essential requirement for reliably predicting heat transport properties is the use of accurate and efficient interatomic potentials. Recently, machine-learned potentials (MLPs) have shown great promise in providing the required accuracy for a broad range of materials. In this mini-review and tutorial, we delve into the fundamentals of heat transport, explore pertinent MD simulation methods, and survey the applications of MLPs in MD simulations of heat transport. Furthermore, we provide a step-by-step tutorial on developing MLPs for highly efficient and predictive heat transport simulations, utilizing the neuroevolution potentials as implemented in the GPUMD package. Our aim with this mini-review and tutorial is to empower researchers with valuable insights into cutting-edge methodologies that can significantly enhance the accuracy and efficiency of MD simulations for heat transport studies.","lang":"eng"}],"related_material":{"link":[{"url":"https://gitlab.com/brucefan1983/nep-data","relation":"software"}]},"author":[{"first_name":"Haikuan","full_name":"Dong, Haikuan","last_name":"Dong"},{"full_name":"Shi, Yongbo","first_name":"Yongbo","last_name":"Shi"},{"last_name":"Ying","first_name":"Penghua","full_name":"Ying, Penghua"},{"last_name":"Xu","first_name":"Ke","full_name":"Xu, Ke"},{"full_name":"Liang, Ting","first_name":"Ting","last_name":"Liang"},{"last_name":"Wang","first_name":"Yanzhou","full_name":"Wang, Yanzhou"},{"orcid":"0000-0001-5126-4928","first_name":"Zezhu","full_name":"Zeng, Zezhu","id":"54a2c730-803f-11ed-ab7e-95b29d2680e7","last_name":"Zeng"},{"first_name":"Xin","full_name":"Wu, Xin","last_name":"Wu"},{"full_name":"Zhou, Wenjiang","first_name":"Wenjiang","last_name":"Zhou"},{"last_name":"Xiong","full_name":"Xiong, Shiyun","first_name":"Shiyun"},{"last_name":"Chen","full_name":"Chen, Shunda","first_name":"Shunda"},{"full_name":"Fan, Zheyong","first_name":"Zheyong","last_name":"Fan"}],"file":[{"date_created":"2024-05-13T08:07:44Z","creator":"dernst","file_size":3240613,"access_level":"open_access","date_updated":"2024-05-13T08:07:44Z","relation":"main_file","checksum":"4d6abb3ebe058ce8eebf4fc7e9cdda0d","file_id":"15382","file_name":"2024_JourApplPhysics_Dong.pdf","content_type":"application/pdf","success":1}],"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)"},"article_type":"review","date_updated":"2026-08-07T10:35:13Z","supplementarymaterial":"no","publication_status":"published","department":[{"_id":"BiCh"}],"has_accepted_license":"1","dataavailabilitystatement":"All the training and test datasets and the trained NEP models for crystalline silicon are freely available at https://gitlab.com/brucefan1983/nep-data. The training datasets, trained NEP, DP, and MTP models for graphene and MD input files for reproducing Fig. 3 are freely available at https://github.com/hityingph/supporting-info/tree/main/Dong_GPUMD_Tutorial_2024.","type":"journal_article","date_published":"2024-04-28T00:00:00Z","researchdata_availability":"no","oa_version":"Preprint","date_created":"2024-05-05T22:01:03Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","language":[{"iso":"eng"}],"arxiv":1,"quality_controlled":"1","intvolume":" 135","external_id":{"isi":["001215967400009"],"arxiv":["2401.16249"]},"citation":{"chicago":"Dong, Haikuan, Yongbo Shi, Penghua Ying, Ke Xu, Ting Liang, Yanzhou Wang, Zezhu Zeng, et al. “Molecular Dynamics Simulations of Heat Transport Using Machine-Learned Potentials: A Mini-Review and Tutorial on GPUMD with Neuroevolution Potentials.” Journal of Applied Physics. AIP Publishing, 2024. https://doi.org/10.1063/5.0200833.","short":"H. Dong, Y. Shi, P. Ying, K. Xu, T. Liang, Y. Wang, Z. Zeng, X. Wu, W. Zhou, S. Xiong, S. Chen, Z. Fan, Journal of Applied Physics 135 (2024).","ieee":"H. Dong et al., “Molecular dynamics simulations of heat transport using machine-learned potentials: A mini-review and tutorial on GPUMD with neuroevolution potentials,” Journal of Applied Physics, vol. 135, no. 16. AIP Publishing, 2024.","mla":"Dong, Haikuan, et al. “Molecular Dynamics Simulations of Heat Transport Using Machine-Learned Potentials: A Mini-Review and Tutorial on GPUMD with Neuroevolution Potentials.” Journal of Applied Physics, vol. 135, no. 16, 161101, AIP Publishing, 2024, doi:10.1063/5.0200833.","apa":"Dong, H., Shi, Y., Ying, P., Xu, K., Liang, T., Wang, Y., … Fan, Z. (2024). Molecular dynamics simulations of heat transport using machine-learned potentials: A mini-review and tutorial on GPUMD with neuroevolution potentials. Journal of Applied Physics. AIP Publishing. https://doi.org/10.1063/5.0200833","ista":"Dong H, Shi Y, Ying P, Xu K, Liang T, Wang Y, Zeng Z, Wu X, Zhou W, Xiong S, Chen S, Fan Z. 2024. Molecular dynamics simulations of heat transport using machine-learned potentials: A mini-review and tutorial on GPUMD with neuroevolution potentials. Journal of Applied Physics. 135(16), 161101.","ama":"Dong H, Shi Y, Ying P, et al. Molecular dynamics simulations of heat transport using machine-learned potentials: A mini-review and tutorial on GPUMD with neuroevolution potentials. Journal of Applied Physics. 2024;135(16). doi:10.1063/5.0200833"},"issue":"16","ec_funded":1,"volume":135,"acknowledgement":"H.D. is supported by the Science Foundation from the Education Department of Liaoning Province (No. JYTMS20231613) and the Doctoral start-up Fund of Bohai University (No. 0523bs008). P.Y. is supported by the Israel Academy of Sciences and Humanities & Council for Higher Education Excellence Fellowship Program for International Postdoctoral Researchers. K.X. and T.L. acknowledge support from the National Key R&D Project from Ministry of Science and Technology of China (No. 2022YFA1203100), the Research Grants Council of Hong Kong (No. AoE/P-701/20), and RGC GRF (No. 14220022). Z.Z. acknowledges the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413. S.X. acknowledges financial support from the National Natural Science Foundation of China (NNSFC) (Grant No. 12174276).","project":[{"_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413","name":"IST-BRIDGE: International postdoctoral program","call_identifier":"H2020"}]},{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.02216","open_access":"1"}],"external_id":{"isi":["001281819100016"],"arxiv":["2405.02216"],"pmid":["39007379"]},"citation":{"chicago":"Wang, Xiaoyu, and Bingqing Cheng. “Integrating Molecular Dynamics Simulations and Experimental Data for Azeotrope Predictions in Binary Mixtures.” Journal of Chemical Physics. AIP Publishing, 2024. https://doi.org/10.1063/5.0217232.","ama":"Wang X, Cheng B. Integrating molecular dynamics simulations and experimental data for azeotrope predictions in binary mixtures. Journal of Chemical Physics. 2024;161(3). doi:10.1063/5.0217232","ista":"Wang X, Cheng B. 2024. Integrating molecular dynamics simulations and experimental data for azeotrope predictions in binary mixtures. Journal of Chemical Physics. 161(3), 034111.","mla":"Wang, Xiaoyu, and Bingqing Cheng. “Integrating Molecular Dynamics Simulations and Experimental Data for Azeotrope Predictions in Binary Mixtures.” Journal of Chemical Physics, vol. 161, no. 3, 034111, AIP Publishing, 2024, doi:10.1063/5.0217232.","apa":"Wang, X., & Cheng, B. (2024). Integrating molecular dynamics simulations and experimental data for azeotrope predictions in binary mixtures. Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/5.0217232","ieee":"X. Wang and B. Cheng, “Integrating molecular dynamics simulations and experimental data for azeotrope predictions in binary mixtures,” Journal of Chemical Physics, vol. 161, no. 3. AIP Publishing, 2024.","short":"X. Wang, B. Cheng, Journal of Chemical Physics 161 (2024)."},"issue":"3","volume":161,"acknowledgement":"B.C. thanks Alessandro Laio, who introduced the phenomenon of azeotrope and suggested using the S0 method to compute it. B.C. and X.W. thank Felix Wodaczek for the insightful comments and suggestions on the manuscript. B.C. and X.W. acknowledge the resources provided by the Cambridge Tier-2 system operated by the University of Cambridge Research Computing Service, funded by EPSRC Tier-2 capital (Grant No. EP/P020259/1).","article_type":"original","department":[{"_id":"BiCh"},{"_id":"GradSch"}],"publication_status":"published","date_updated":"2026-08-07T10:38:59Z","supplementarymaterial":"no","researchdata_availability":"no","date_published":"2024-07-14T00:00:00Z","dataavailabilitystatement":"All simulation setups, analysis scripts, and raw data in the study are available in the SI repository https://github.com/Xiaoyu-Wang-Stone/Azeotrope_S0.","type":"journal_article","quality_controlled":"1","arxiv":1,"intvolume":" 161","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","oa_version":"Preprint","date_created":"2024-07-21T22:01:00Z","language":[{"iso":"eng"}],"article_number":"034111","corr_author":"1","isi":1,"das_tickbox":"1","related_material":{"link":[{"relation":"software","url":"https://github.com/Xiaoyu-Wang-Stone/Azeotrope_S0"}]},"abstract":[{"text":"An azeotrope is a constant boiling point mixture, and its behavior is important for fluid separation processes. Predicting azeotropes from atomistic simulations is difficult due to the complexities and convergence problems of Monte Carlo and free-energy perturbation techniques. Here, we present a methodology for predicting the azeotropes of binary mixtures, which computes the compositional dependence of chemical potentials from molecular dynamics simulations using the S0 method and employs experimental boiling point and vaporization enthalpy data. Using this methodology, we reproduce the azeotropes, or lack thereof, in five case studies, including ethanol/water, ethanol/isooctane, methanol/water, hydrazine/water, and acetone/chloroform mixtures. We find that it is crucial to use the experimental boiling point and vaporization enthalpy for reliable azeotrope predictions, as empirical force fields are not accurate enough for these quantities. Finally, we use regular solution models to rationalize the azeotropes and reveal that they tend to form when the mixture components have similar boiling points and strong interactions.","lang":"eng"}],"author":[{"last_name":"Wang","first_name":"Xiaoyu","id":"8dff9c62-32b0-11ee-9fa8-fc73025e10f3","full_name":"Wang, Xiaoyu"},{"last_name":"Cheng","first_name":"Bingqing","orcid":"0000-0002-3584-9632","full_name":"Cheng, Bingqing","id":"cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9"}],"pmid":1,"publisher":"AIP Publishing","doi":"10.1063/5.0217232","fulldoi":"https://doi.org/10.1063/5.0217232","day":"14","publication_identifier":{"issn":["0021-9606"],"eissn":["1089-7690"]},"year":"2024","status":"public","_id":"17278","month":"07","publication":"Journal of Chemical Physics","title":"Integrating molecular dynamics simulations and experimental data for azeotrope predictions in binary mixtures","scopus_import":"1","oa":1,"article_processing_charge":"No"},{"external_id":{"isi":["001223768400001"],"pmid":["38623865"]},"citation":{"mla":"Fiedler, Christine, et al. “Unveiling Crucial Chemical Processing Parameters Influencing the Performance of Solution-Processed Inorganic Thermoelectric Materials.” Angewandte Chemie International Edition, vol. 63, no. 25, e202402628, Wiley, 2024, doi:10.1002/anie.202402628.","apa":"Fiedler, C., Calcabrini, M., Liu, Y., & Ibáñez, M. (2024). Unveiling crucial chemical processing parameters influencing the performance of solution-processed inorganic thermoelectric materials. Angewandte Chemie International Edition. Wiley. https://doi.org/10.1002/anie.202402628","ama":"Fiedler C, Calcabrini M, Liu Y, Ibáñez M. Unveiling crucial chemical processing parameters influencing the performance of solution-processed inorganic thermoelectric materials. Angewandte Chemie International Edition. 2024;63(25). doi:10.1002/anie.202402628","ista":"Fiedler C, Calcabrini M, Liu Y, Ibáñez M. 2024. Unveiling crucial chemical processing parameters influencing the performance of solution-processed inorganic thermoelectric materials. Angewandte Chemie International Edition. 63(25), e202402628.","short":"C. Fiedler, M. Calcabrini, Y. Liu, M. Ibáñez, Angewandte Chemie International Edition 63 (2024).","ieee":"C. Fiedler, M. Calcabrini, Y. Liu, and M. Ibáñez, “Unveiling crucial chemical processing parameters influencing the performance of solution-processed inorganic thermoelectric materials,” Angewandte Chemie International Edition, vol. 63, no. 25. Wiley, 2024.","chicago":"Fiedler, Christine, Mariano Calcabrini, Yu Liu, and Maria Ibáñez. “Unveiling Crucial Chemical Processing Parameters Influencing the Performance of Solution-Processed Inorganic Thermoelectric Materials.” Angewandte Chemie International Edition. Wiley, 2024. https://doi.org/10.1002/anie.202402628."},"ec_funded":1,"issue":"25","project":[{"call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","grant_number":"665385","name":"International IST Doctoral Program"},{"_id":"9B8F7476-BA93-11EA-9121-9846C619BF3A","name":"HighTE: The Werner Siemens Laboratory for the High Throughput Discovery of Semiconductors for Waste Heat Recovery"}],"volume":63,"acknowledgement":"ISTA and the Werner Siemens Foundation financially supported this work. The Scientific Service Units (SSU) of ISTA supported this research through resources provided by the Electron Microscopy Facility (EMF), NMR Facility and the Lab Support Facility (LSF). Dr. Krishnendu Maji at ISTA aided in this work through XRD analysis of the crystal phase of SnSe. Y.L. acknowledges funding from the European Union's Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No. 754411, the National Natural Science Foundation of China (NSFC) (Grants No. 22209034). M.C. received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 665385.","article_type":"original","file":[{"relation":"main_file","checksum":"1572a0f4d2df55751761efeb2d11c7fc","file_id":"18797","date_updated":"2025-01-09T09:12:07Z","success":1,"file_name":"2024_AngewChemieIntern_Fiedler.pdf","content_type":"application/pdf","creator":"dernst","file_size":16347226,"date_created":"2025-01-09T09:12:07Z","access_level":"open_access"}],"tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png"},"publication_status":"published","department":[{"_id":"MaIb"}],"date_updated":"2026-08-11T12:39:15Z","date_published":"2024-06-17T00:00:00Z","has_accepted_license":"1","type":"journal_article","intvolume":" 63","quality_controlled":"1","date_created":"2024-05-26T22:00:58Z","oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"article_number":"e202402628","isi":1,"corr_author":"1","das_tickbox":"1","acknowledged_ssus":[{"_id":"EM-Fac"},{"_id":"NMR"},{"_id":"LifeSc"}],"OA_type":"hybrid","related_material":{"record":[{"id":"22626","relation":"dissertation_contains","status":"public"}]},"abstract":[{"text":"Production of thermoelectric materials from solution-processed particles involves the synthesis of particles, their purification and densification into pelletized material. Chemical changes that occur during each one of these steps render them performance determining. Particularly the purification steps, bypassed in conventional solid-state synthesis, are the cause for large discrepancies among similar solution-processed materials. In present work, the investigation focuses on a water-based surfactant free solution synthesis of SnSe, a highly relevant thermoelectric material. We show and rationalize that the number of leaching steps, purification solvent, annealing, and annealing atmosphere have significant influence on the Sn : Se ratio and impurity content in the powder. Such compositional changes that are undetectable by conventional characterization techniques lead to distinct consolidated materials with different types and concentration of defects. Additionally, the profound effect on their transport properties is demonstrated. We emphasize that understanding the chemistry and identifying key chemical species and their role throughout the process is paramount for optimizing material performance. Furthermore, we aim to demonstrate the necessity of comprehensive reporting of these steps as a standard practice to ensure material reproducibility.","lang":"eng"}],"author":[{"id":"bd3fceba-dc74-11ea-a0a7-c17f71817366","full_name":"Fiedler, Christine","first_name":"Christine","last_name":"Fiedler"},{"last_name":"Calcabrini","orcid":"0000-0003-4566-5877","first_name":"Mariano","full_name":"Calcabrini, Mariano","id":"45D7531A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Liu","first_name":"Yu","orcid":"0000-0001-7313-6740","id":"2A70014E-F248-11E8-B48F-1D18A9856A87","full_name":"Liu, Yu"},{"full_name":"Ibáñez, Maria","id":"43C61214-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5013-2843","first_name":"Maria","last_name":"Ibáñez"}],"pmid":1,"publisher":"Wiley","file_date_updated":"2025-01-09T09:12:07Z","OA_place":"publisher","doi":"10.1002/anie.202402628","ddc":["540"],"fulldoi":"https://doi.org/10.1002/anie.202402628","license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","day":"17","publication_identifier":{"eissn":["1521-3773"],"issn":["1433-7851"]},"year":"2024","_id":"17052","status":"public","month":"06","publication":"Angewandte Chemie International Edition","title":"Unveiling crucial chemical processing parameters influencing the performance of solution-processed inorganic thermoelectric materials","scopus_import":"1","oa":1,"article_processing_charge":"Yes (via OA deal)"},{"date_updated":"2026-08-11T12:39:14Z","department":[{"_id":"MaIb"}],"publication_status":"published","tmp":{"short":"CC BY-NC-ND (3.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0)","image":"/images/cc_by_nc_nd.png"},"file":[{"access_level":"open_access","file_size":1371995,"creator":"dernst","date_created":"2025-02-17T15:08:55Z","success":1,"content_type":"application/pdf","file_name":"2024_JoVE_Fiedler.pdf","file_id":"19047","relation":"main_file","checksum":"ddb41f1ce2333484ab5cd109ac2941c0","date_updated":"2025-02-17T15:08:55Z"}],"article_type":"original","language":[{"iso":"eng"}],"oa_version":"Published Version","date_created":"2024-06-09T22:01:02Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","intvolume":" 2024","quality_controlled":"1","type":"journal_article","has_accepted_license":"1","date_published":"2024-05-01T00:00:00Z","issue":"207","citation":{"short":"C. Fiedler, Y. Liu, M. Ibáñez, Journal of Visualized Experiments 2024 (2024).","ieee":"C. Fiedler, Y. Liu, and M. Ibáñez, “Solution-processed, surface-engineered, polycrystalline CdSe-SnSe exhibiting low thermal conductivity,” Journal of Visualized Experiments, vol. 2024, no. 207. MyJove Corporation, 2024.","mla":"Fiedler, Christine, et al. “Solution-Processed, Surface-Engineered, Polycrystalline CdSe-SnSe Exhibiting Low Thermal Conductivity.” Journal of Visualized Experiments, vol. 2024, no. 207, e66278, MyJove Corporation, 2024, doi:10.3791/66278.","apa":"Fiedler, C., Liu, Y., & Ibáñez, M. (2024). Solution-processed, surface-engineered, polycrystalline CdSe-SnSe exhibiting low thermal conductivity. Journal of Visualized Experiments. MyJove Corporation. https://doi.org/10.3791/66278","ista":"Fiedler C, Liu Y, Ibáñez M. 2024. Solution-processed, surface-engineered, polycrystalline CdSe-SnSe exhibiting low thermal conductivity. Journal of Visualized Experiments. 2024(207), e66278.","ama":"Fiedler C, Liu Y, Ibáñez M. Solution-processed, surface-engineered, polycrystalline CdSe-SnSe exhibiting low thermal conductivity. Journal of Visualized Experiments. 2024;2024(207). doi:10.3791/66278","chicago":"Fiedler, Christine, Yu Liu, and Maria Ibáñez. “Solution-Processed, Surface-Engineered, Polycrystalline CdSe-SnSe Exhibiting Low Thermal Conductivity.” Journal of Visualized Experiments. MyJove Corporation, 2024. https://doi.org/10.3791/66278."},"external_id":{"isi":["001281657200005"],"pmid":["38829127"]},"acknowledgement":"The Scientific Service Units (SSU) of ISTA supported this research through resources provided by the Electron Microscopy Facility (EMF) and the Lab Support Facility (LSF). This work was financially supported by the Institute of Science and Technology Austria and the Werner Siemens Foundation.","volume":2024,"project":[{"name":"HighTE: The Werner Siemens Laboratory for the High Throughput Discovery of Semiconductors for Waste Heat Recovery","_id":"9B8F7476-BA93-11EA-9121-9846C619BF3A"}],"publication_identifier":{"issn":["1940-087X"]},"day":"01","APC_amount":"4394,84 EUR","license":"https://creativecommons.org/licenses/by-nc-nd/3.0/","fulldoi":"https://doi.org/10.3791/66278","ddc":["530"],"doi":"10.3791/66278","file_date_updated":"2025-02-17T15:08:55Z","OA_place":"publisher","publisher":"MyJove Corporation","article_processing_charge":"Yes (in subscription journal)","oa":1,"scopus_import":"1","title":"Solution-processed, surface-engineered, polycrystalline CdSe-SnSe exhibiting low thermal conductivity","publication":"Journal of Visualized Experiments","_id":"17124","month":"05","status":"public","year":"2024","OA_type":"hybrid","acknowledged_ssus":[{"_id":"EM-Fac"},{"_id":"LifeSc"}],"corr_author":"1","isi":1,"article_number":"e66278","pmid":1,"author":[{"last_name":"Fiedler","first_name":"Christine","id":"bd3fceba-dc74-11ea-a0a7-c17f71817366","full_name":"Fiedler, Christine"},{"id":"2A70014E-F248-11E8-B48F-1D18A9856A87","full_name":"Liu, Yu","orcid":"0000-0001-7313-6740","first_name":"Yu","last_name":"Liu"},{"last_name":"Ibáñez","orcid":"0000-0001-5013-2843","first_name":"Maria","id":"43C61214-F248-11E8-B48F-1D18A9856A87","full_name":"Ibáñez, Maria"}],"abstract":[{"text":"In recent years, solution processes have gained considerable traction as a cost-effective and scalable method to produce high-performance thermoelectric materials. The process entails a series of critical steps: synthesis, purification, thermal treatments, and consolidation, each playing a pivotal role in determining performance, stability, and reproducibility. We have noticed a need for more comprehensive details for each of the described steps in most published works. Recognizing the significance of detailed synthetic protocols, we describe here the approach used to synthesize and characterize one of the highest-performing polycrystalline p-type SnSe. In particular, we report the synthesis of SnSe particles in water and the subsequent surface treatment with CdSe molecular complexes that yields CdSe-SnSe nanocomposites upon consolidation. Moreover, the surface treatment inhibits grain growth through Zenner pinning of secondary phase CdSe nanoparticles and enhances defect formation at different length scales. The enhanced complexity in the CdSe-SnSe nanocomposite microstructure with respect to SnSe promotes phonon scattering and thereby significantly reduces the thermal conductivity. Such surface engineering provides opportunities in solution processing for introducing and controlling defects, making it possible to optimize the transport properties and attain a high thermoelectric figure of merit.","lang":"eng"}],"related_material":{"record":[{"status":"public","id":"22626","relation":"dissertation_contains"}]}},{"type":"journal_article","date_published":"2024-11-01T00:00:00Z","language":[{"iso":"eng"}],"date_created":"2024-07-14T22:01:10Z","oa_version":"Published Version","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","intvolume":" 44","article_type":"original","date_updated":"2026-08-12T06:19:26Z","department":[{"_id":"VaKa"}],"publication_status":"published","volume":44,"page":"3287-3301","citation":{"short":"C. Fiorebe, Discrete and Continuous Dynamical Systems- Series A 44 (2024) 3287–3301.","ieee":"C. Fiorebe, “Examples of projective billiards with open sets of periodic orbits,” Discrete and Continuous Dynamical Systems- Series A, vol. 44, no. 11. AIMS, pp. 3287–3301, 2024.","mla":"Fiorebe, Corentin. “Examples of Projective Billiards with Open Sets of Periodic Orbits.” Discrete and Continuous Dynamical Systems- Series A, vol. 44, no. 11, AIMS, 2024, pp. 3287–301, doi:10.3934/dcds.2024059.","apa":"Fiorebe, C. (2024). Examples of projective billiards with open sets of periodic orbits. Discrete and Continuous Dynamical Systems- Series A. AIMS. https://doi.org/10.3934/dcds.2024059","ama":"Fiorebe C. Examples of projective billiards with open sets of periodic orbits. Discrete and Continuous Dynamical Systems- Series A. 2024;44(11):3287-3301. doi:10.3934/dcds.2024059","ista":"Fiorebe C. 2024. Examples of projective billiards with open sets of periodic orbits. Discrete and Continuous Dynamical Systems- Series A. 44(11), 3287–3301.","chicago":"Fiorebe, Corentin. “Examples of Projective Billiards with Open Sets of Periodic Orbits.” Discrete and Continuous Dynamical Systems- Series A. AIMS, 2024. https://doi.org/10.3934/dcds.2024059."},"external_id":{"isi":["001230091000001"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.3934/dcds.2024059"}],"issue":"11","publication":"Discrete and Continuous Dynamical Systems- Series A","month":"11","_id":"17231","status":"public","year":"2024","article_processing_charge":"No","oa":1,"scopus_import":"1","title":"Examples of projective billiards with open sets of periodic orbits","ddc":["500"],"fulldoi":"https://doi.org/10.3934/dcds.2024059","doi":"10.3934/dcds.2024059","publisher":"AIMS","publication_identifier":{"eissn":["1553-5231"],"issn":["1078-0947"]},"day":"01","abstract":[{"text":"In the class of projective billiards, which contains the usual billiards, we exhibit counter-examples to Ivrii's conjecture, which states that in any planar billiard with smooth boundary the set of periodic orbits has zero measure. The counter-examples are polygons admitting a 2-parameters family of n-periodic orbits, with n being either 3 or any even integer greater than 4.","lang":"eng"}],"author":[{"last_name":"Fiorebe","id":"06619f18-9070-11eb-847d-d1ee780bd88b","full_name":"Fiorebe, Corentin","first_name":"Corentin"}],"OA_type":"free access","corr_author":"1","isi":1},{"isi":1,"abstract":[{"text":"There is an ever-growing zoo of modern neural network models that can efficiently learn end-to-end control from visual observations. These advanced deep models, ranging from convolutional to Vision Transformers, from small to gigantic networks, have been extensively tested on offline image classification tasks. In this paper, we study these vision models with respect to the open-loop training to closed-loop generalization abilities, i.e., deployment realizes a causal feedback loop that is not present during training. This causality gap typically emerges in robotics applications such as autonomous driving, where a network is trained to imitate the control commands of a human. In this setting, two situations arise: 1) Closed-loop testing in-distribution, where the test environment shares properties with those of offline training data. 2) Closed-loop testing under distribution shifts and out-of-distribution. Contrary to recently reported results, we show that under proper training guidelines, all vision architectures perform indistinguishably well on in-distribution deployment, resolving the causality gap. In situation 2, We observe that scale is the strongest factor in improving closed-loop generalization regardless of the choice of the model architecture. Our results predict the trend that in the future we will see larger and larger models being used in offline-training-online-deployment imitation learning tasks in robotic applications.","lang":"eng"}],"author":[{"first_name":"Mathias","id":"3DC22916-F248-11E8-B48F-1D18A9856A87","full_name":"Lechner, Mathias","last_name":"Lechner"},{"first_name":"Ramin","full_name":"Hasani, Ramin","last_name":"Hasani"},{"last_name":"Amini","full_name":"Amini, Alexander","first_name":"Alexander"},{"full_name":"Wang, Tsun Hsuan","first_name":"Tsun Hsuan","last_name":"Wang"},{"first_name":"Thomas A","orcid":"0000-0002-2985-7724","full_name":"Henzinger, Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger"},{"last_name":"Rus","first_name":"Daniela","full_name":"Rus, Daniela"}],"doi":"10.1109/ICRA57147.2024.10610284","publisher":"IEEE","fulldoi":"https://doi.org/10.1109/ICRA57147.2024.10610284","day":"08","publication_identifier":{"isbn":["9798350384574"],"issn":["1050-4729"]},"_id":"17898","month":"08","status":"public","year":"2024","publication":"Proceedings of the 2024 IEEE International Conference on Robotics and Automation","conference":{"start_date":"2024-05-13","name":"ICRA: International Conference on Robotics and Automation","end_date":"2024-05-17","location":"Yokohama, Japan"},"scopus_import":"1","title":"Overparametrization helps offline-to-online generalization of closed-loop control from pixels","article_processing_charge":"No","citation":{"ista":"Lechner M, Hasani R, Amini A, Wang TH, Henzinger TA, Rus D. 2024. Overparametrization helps offline-to-online generalization of closed-loop control from pixels. Proceedings of the 2024 IEEE International Conference on Robotics and Automation. ICRA: International Conference on Robotics and Automation, 2774–2782.","ama":"Lechner M, Hasani R, Amini A, Wang TH, Henzinger TA, Rus D. Overparametrization helps offline-to-online generalization of closed-loop control from pixels. In: Proceedings of the 2024 IEEE International Conference on Robotics and Automation. IEEE; 2024:2774-2782. doi:10.1109/ICRA57147.2024.10610284","mla":"Lechner, Mathias, et al. “Overparametrization Helps Offline-to-Online Generalization of Closed-Loop Control from Pixels.” Proceedings of the 2024 IEEE International Conference on Robotics and Automation, IEEE, 2024, pp. 2774–82, doi:10.1109/ICRA57147.2024.10610284.","apa":"Lechner, M., Hasani, R., Amini, A., Wang, T. H., Henzinger, T. A., & Rus, D. (2024). Overparametrization helps offline-to-online generalization of closed-loop control from pixels. In Proceedings of the 2024 IEEE International Conference on Robotics and Automation (pp. 2774–2782). Yokohama, Japan: IEEE. https://doi.org/10.1109/ICRA57147.2024.10610284","ieee":"M. Lechner, R. Hasani, A. Amini, T. H. Wang, T. A. Henzinger, and D. Rus, “Overparametrization helps offline-to-online generalization of closed-loop control from pixels,” in Proceedings of the 2024 IEEE International Conference on Robotics and Automation, Yokohama, Japan, 2024, pp. 2774–2782.","short":"M. Lechner, R. Hasani, A. Amini, T.H. Wang, T.A. Henzinger, D. Rus, in:, Proceedings of the 2024 IEEE International Conference on Robotics and Automation, IEEE, 2024, pp. 2774–2782.","chicago":"Lechner, Mathias, Ramin Hasani, Alexander Amini, Tsun Hsuan Wang, Thomas A Henzinger, and Daniela Rus. “Overparametrization Helps Offline-to-Online Generalization of Closed-Loop Control from Pixels.” In Proceedings of the 2024 IEEE International Conference on Robotics and Automation, 2774–82. IEEE, 2024. https://doi.org/10.1109/ICRA57147.2024.10610284."},"page":"2774-2782","external_id":{"isi":["001294576202044"]},"ec_funded":1,"project":[{"_id":"62781420-2b32-11ec-9570-8d9b63373d4d","grant_number":"101020093","name":"Vigilant Algorithmic Monitoring of Software","call_identifier":"H2020"}],"acknowledgement":"This work was partially supported in parts by the ERC-2020-AdG 101020093. Additionally, it was partially sponsored by the United States Air Force Research Laboratory and the United States Air Force Artificial Intelligence Accelerator and was accomplished under Cooperative Agreement Number FA8750-19-2-1000. The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the United States Air Force or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein. This work was further supported by The Boeing Company and the Office of Naval Research (ONR) Grant N00014-18-1-2830.","publication_status":"published","department":[{"_id":"ToHe"}],"date_updated":"2026-08-12T06:35:50Z","date_published":"2024-08-08T00:00:00Z","type":"conference","quality_controlled":"1","language":[{"iso":"eng"}],"date_created":"2024-09-08T22:01:13Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"None"},{"corr_author":"1","isi":1,"author":[{"full_name":"Jin, Lifu","first_name":"Lifu","last_name":"Jin"},{"last_name":"Esposito","full_name":"Esposito, Amedeo Roberto","id":"9583e921-e1ad-11ec-9862-cef099626dc9","first_name":"Amedeo Roberto"},{"last_name":"Gastpar","full_name":"Gastpar, Michael","first_name":"Michael"}],"abstract":[{"text":"Strong data processing inequalities (SDPI) are an important object of study in Information Theory and have been well studied for f -divergences. Universal upper and lower bounds have been provided along with several applications, connecting them to impossibility (converse) results, concentration of measure, hypercontractivity, and so on. In this paper, we study Renyi divergence and the corresponding SDPI constant whose behavior seems to deviate from that of ordinary <1>-divergences. In particular, one can find examples showing that the universal upper bound relating its SDPI constant to the one of Total Variation does not hold in general. In this work, we prove, however, that the universal lower bound involving the SDPI constant of the Chi-square divergence does indeed hold. Furthermore, we also provide a characterization of the distribution that achieves the supremum when is equal to 2 and consequently compute the SDPI constant for Renyi divergence of the general binary channel.","lang":"eng"}],"publication_identifier":{"issn":["2157-8095"],"isbn":["9798350382846"]},"day":"19","fulldoi":"https://doi.org/10.1109/ISIT57864.2024.10619367","doi":"10.1109/ISIT57864.2024.10619367","publisher":"IEEE","article_processing_charge":"No","oa":1,"scopus_import":"1","title":"Properties of the strong data processing constant for Rényi divergence","publication":"Proceedings of the 2024 IEEE International Symposium on Information Theory","conference":{"location":"Athens, Greece","name":"ISIT: International Symposium on Information Theory","end_date":"2024-07-12","start_date":"2024-07-07"},"_id":"17893","month":"08","status":"public","year":"2024","citation":{"chicago":"Jin, Lifu, Amedeo Roberto Esposito, and Michael Gastpar. “Properties of the Strong Data Processing Constant for Rényi Divergence.” In Proceedings of the 2024 IEEE International Symposium on Information Theory, 3178–83. IEEE, 2024. https://doi.org/10.1109/ISIT57864.2024.10619367.","apa":"Jin, L., Esposito, A. R., & Gastpar, M. (2024). Properties of the strong data processing constant for Rényi divergence. In Proceedings of the 2024 IEEE International Symposium on Information Theory (pp. 3178–3183). Athens, Greece: IEEE. https://doi.org/10.1109/ISIT57864.2024.10619367","mla":"Jin, Lifu, et al. “Properties of the Strong Data Processing Constant for Rényi Divergence.” Proceedings of the 2024 IEEE International Symposium on Information Theory, IEEE, 2024, pp. 3178–83, doi:10.1109/ISIT57864.2024.10619367.","ista":"Jin L, Esposito AR, Gastpar M. 2024. Properties of the strong data processing constant for Rényi divergence. Proceedings of the 2024 IEEE International Symposium on Information Theory. ISIT: International Symposium on Information Theory, 3178–3183.","ama":"Jin L, Esposito AR, Gastpar M. Properties of the strong data processing constant for Rényi divergence. In: Proceedings of the 2024 IEEE International Symposium on Information Theory. IEEE; 2024:3178-3183. doi:10.1109/ISIT57864.2024.10619367","short":"L. Jin, A.R. Esposito, M. Gastpar, in:, Proceedings of the 2024 IEEE International Symposium on Information Theory, IEEE, 2024, pp. 3178–3183.","ieee":"L. Jin, A. R. Esposito, and M. Gastpar, “Properties of the strong data processing constant for Rényi divergence,” in Proceedings of the 2024 IEEE International Symposium on Information Theory, Athens, Greece, 2024, pp. 3178–3183."},"page":"3178-3183","external_id":{"arxiv":["2403.10656"],"isi":["001304426903055"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2403.10656 "}],"acknowledgement":"The work in this paper was supported in part by the Swiss National Science Foundation under Grant 200364.\r\n","date_updated":"2026-08-12T06:38:02Z","department":[{"_id":"MaMo"}],"publication_status":"published","language":[{"iso":"eng"}],"oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2024-09-08T22:01:12Z","arxiv":1,"quality_controlled":"1","type":"conference","date_published":"2024-08-19T00:00:00Z"},{"quality_controlled":"1","oa_version":"None","date_created":"2024-09-08T22:01:12Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","language":[{"iso":"eng"}],"date_published":"2024-08-19T00:00:00Z","type":"conference","publication_status":"published","department":[{"_id":"MaMo"}],"date_updated":"2026-08-12T06:37:45Z","acknowledgement":"The work of M. Langberg and A. D. Sarwate was supported in part by the US NSF under awards CCF-1909451 and CCF1909468. B. K. Dey was supported in part by the Bharti Centre\r\nfor Communication in IIT Bombay. ","external_id":{"isi":["001304426901091"]},"citation":{"ama":"Dey BK, Jaggi S, Langberg M, Sarwate AD, Zhang Y. Computationally efficient codes for strongly Dobrushin-Stambler nonsymmetrizable oblivious AVCs. In: Proceedings of the 2024 IEEE International Symposium on Information Theory . IEEE; 2024:1586-1591. doi:10.1109/ISIT57864.2024.10619362","ista":"Dey BK, Jaggi S, Langberg M, Sarwate AD, Zhang Y. 2024. Computationally efficient codes for strongly Dobrushin-Stambler nonsymmetrizable oblivious AVCs. Proceedings of the 2024 IEEE International Symposium on Information Theory . ISIT: International Symposium on Information Theory, 1586–1591.","mla":"Dey, B. K., et al. “Computationally Efficient Codes for Strongly Dobrushin-Stambler Nonsymmetrizable Oblivious AVCs.” Proceedings of the 2024 IEEE International Symposium on Information Theory , IEEE, 2024, pp. 1586–91, doi:10.1109/ISIT57864.2024.10619362.","apa":"Dey, B. K., Jaggi, S., Langberg, M., Sarwate, A. D., & Zhang, Y. (2024). Computationally efficient codes for strongly Dobrushin-Stambler nonsymmetrizable oblivious AVCs. In Proceedings of the 2024 IEEE International Symposium on Information Theory (pp. 1586–1591). Athens, Greece: IEEE. https://doi.org/10.1109/ISIT57864.2024.10619362","ieee":"B. K. Dey, S. Jaggi, M. Langberg, A. D. Sarwate, and Y. Zhang, “Computationally efficient codes for strongly Dobrushin-Stambler nonsymmetrizable oblivious AVCs,” in Proceedings of the 2024 IEEE International Symposium on Information Theory , Athens, Greece, 2024, pp. 1586–1591.","short":"B.K. Dey, S. Jaggi, M. Langberg, A.D. Sarwate, Y. Zhang, in:, Proceedings of the 2024 IEEE International Symposium on Information Theory , IEEE, 2024, pp. 1586–1591.","chicago":"Dey, B. K., S. Jaggi, M. Langberg, A. D. Sarwate, and Yihan Zhang. “Computationally Efficient Codes for Strongly Dobrushin-Stambler Nonsymmetrizable Oblivious AVCs.” In Proceedings of the 2024 IEEE International Symposium on Information Theory , 1586–91. IEEE, 2024. https://doi.org/10.1109/ISIT57864.2024.10619362."},"page":"1586-1591","title":"Computationally efficient codes for strongly Dobrushin-Stambler nonsymmetrizable oblivious AVCs","scopus_import":"1","article_processing_charge":"No","year":"2024","status":"public","month":"08","_id":"17895","conference":{"name":"ISIT: International Symposium on Information Theory","end_date":"2024-07-12","location":"Athens, Greece","start_date":"2024-07-07"},"publication":"Proceedings of the 2024 IEEE International Symposium on Information Theory ","day":"19","publication_identifier":{"issn":["2157-8095"],"isbn":["9798350382846"]},"publisher":"IEEE","doi":"10.1109/ISIT57864.2024.10619362","fulldoi":"https://doi.org/10.1109/ISIT57864.2024.10619362","author":[{"last_name":"Dey","full_name":"Dey, B. K.","first_name":"B. K."},{"full_name":"Jaggi, S.","first_name":"S.","last_name":"Jaggi"},{"full_name":"Langberg, M.","first_name":"M.","last_name":"Langberg"},{"last_name":"Sarwate","full_name":"Sarwate, A. D.","first_name":"A. D."},{"orcid":"0000-0002-6465-6258","first_name":"Yihan","full_name":"Zhang, Yihan","id":"2ce5da42-b2ea-11eb-bba5-9f264e9d002c","last_name":"Zhang"}],"abstract":[{"text":"We propose a concatenated code construction for a class of discrete-alphabet oblivious arbitrarily varying channels (AVCs) with cost constraints. The code has time and space complexity polynomial in the blocklength n . It uses a Reed-Solomon outer code, logarithmic blocklength random inner codes, and stochastic encoding by permuting the codeword before transmission. When the channel satisfies a condition called strong DS-nonsymmetrizability (a modified version of nonsymmetrizability originally due to Dobrushin and Stambler), we show that the code achieves a rate that for a variety of oblivious AVCs (such as classically studied error/erasure channels) match the known capacities.","lang":"eng"}],"isi":1},{"isi":1,"corr_author":"1","abstract":[{"lang":"eng","text":"Sibson's α -mutual information has received renewed attention recently in several contexts: concentration of measure under dependence, statistical learning, hypothesis testing, and estimation theory. In this work, we introduce several variational representations of Sibson's α -mutual information: 1) as a supremum over joint distributions of (a combination of) KL divergences; and 2) as a supremum over functions of opportune expected values. Leveraging them, we produce a variety of novel and known results, including a generalization of transportation-cost inequalities and Fano's inequality."}],"author":[{"last_name":"Esposito","full_name":"Esposito, Amedeo Roberto","id":"9583e921-e1ad-11ec-9862-cef099626dc9","first_name":"Amedeo Roberto"},{"first_name":"Michael","full_name":"Gastpar, Michael","last_name":"Gastpar"},{"last_name":"Issa","first_name":"Ibrahim","full_name":"Issa, Ibrahim"}],"doi":"10.1109/ISIT57864.2024.10619378","publisher":"IEEE","fulldoi":"https://doi.org/10.1109/ISIT57864.2024.10619378","day":"19","publication_identifier":{"issn":["2157-8095"],"isbn":["9798350382846"]},"_id":"17894","month":"08","status":"public","year":"2024","publication":"Proceedings of the 2024 IEEE International Symposium on Information Theory ","conference":{"end_date":"2024-07-12","name":"ISIT: International Symposium on Information Theory","location":"Athens, Greece","start_date":"2024-07-07"},"scopus_import":"1","title":"Variational characterizations of Sibson's α-mutual information","article_processing_charge":"No","citation":{"ieee":"A. R. Esposito, M. Gastpar, and I. Issa, “Variational characterizations of Sibson’s α-mutual information,” in Proceedings of the 2024 IEEE International Symposium on Information Theory , Athens, Greece, 2024, pp. 2110–2115.","short":"A.R. Esposito, M. Gastpar, I. Issa, in:, Proceedings of the 2024 IEEE International Symposium on Information Theory , IEEE, 2024, pp. 2110–2115.","ama":"Esposito AR, Gastpar M, Issa I. Variational characterizations of Sibson’s α-mutual information. In: Proceedings of the 2024 IEEE International Symposium on Information Theory . IEEE; 2024:2110-2115. doi:10.1109/ISIT57864.2024.10619378","ista":"Esposito AR, Gastpar M, Issa I. 2024. Variational characterizations of Sibson’s α-mutual information. Proceedings of the 2024 IEEE International Symposium on Information Theory . ISIT: International Symposium on Information Theory, 2110–2115.","apa":"Esposito, A. R., Gastpar, M., & Issa, I. (2024). Variational characterizations of Sibson’s α-mutual information. In Proceedings of the 2024 IEEE International Symposium on Information Theory (pp. 2110–2115). Athens, Greece: IEEE. https://doi.org/10.1109/ISIT57864.2024.10619378","mla":"Esposito, Amedeo Roberto, et al. “Variational Characterizations of Sibson’s α-Mutual Information.” Proceedings of the 2024 IEEE International Symposium on Information Theory , IEEE, 2024, pp. 2110–15, doi:10.1109/ISIT57864.2024.10619378.","chicago":"Esposito, Amedeo Roberto, Michael Gastpar, and Ibrahim Issa. “Variational Characterizations of Sibson’s α-Mutual Information.” In Proceedings of the 2024 IEEE International Symposium on Information Theory , 2110–15. IEEE, 2024. https://doi.org/10.1109/ISIT57864.2024.10619378."},"page":"2110-2115","external_id":{"isi":["001304426902023"]},"acknowledgement":"The work in this paper was supported in part by the Swiss National Science Foundation under Grant 200364.","department":[{"_id":"MaMo"}],"publication_status":"published","date_updated":"2026-08-12T06:38:18Z","date_published":"2024-08-19T00:00:00Z","type":"conference","quality_controlled":"1","language":[{"iso":"eng"}],"oa_version":"None","date_created":"2024-09-08T22:01:12Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}]