[{"status":"public","publication_identifier":{"issn":["2153-0785"],"eissn":["2153-0793"]},"language":[{"iso":"eng"}],"PlanS_conform":"1","external_id":{"isi":["001415587800001"]},"intvolume":"        15","project":[{"call_identifier":"H2020","name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818"},{"call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19903"}]},"page":"1617-1645","citation":{"mla":"Hübner, Valentin, et al. “Time-Dependent Strategies in Repeated Asymmetric Public Goods Games.” <i>Dynamic Games and Applications</i>, vol. 15, Springer Nature, 2025, pp. 1617–45, doi:<a href=\"https://doi.org/10.1007/s13235-025-00627-5\">10.1007/s13235-025-00627-5</a>.","ieee":"V. Hübner, C. Hilbe, M. Staab, M. Kleshnina, and K. Chatterjee, “Time-dependent strategies in repeated asymmetric public goods games,” <i>Dynamic Games and Applications</i>, vol. 15. Springer Nature, pp. 1617–1645, 2025.","ama":"Hübner V, Hilbe C, Staab M, Kleshnina M, Chatterjee K. Time-dependent strategies in repeated asymmetric public goods games. <i>Dynamic Games and Applications</i>. 2025;15:1617-1645. doi:<a href=\"https://doi.org/10.1007/s13235-025-00627-5\">10.1007/s13235-025-00627-5</a>","chicago":"Hübner, Valentin, Christian Hilbe, Manuel Staab, Maria Kleshnina, and Krishnendu Chatterjee. “Time-Dependent Strategies in Repeated Asymmetric Public Goods Games.” <i>Dynamic Games and Applications</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s13235-025-00627-5\">https://doi.org/10.1007/s13235-025-00627-5</a>.","apa":"Hübner, V., Hilbe, C., Staab, M., Kleshnina, M., &#38; Chatterjee, K. (2025). Time-dependent strategies in repeated asymmetric public goods games. <i>Dynamic Games and Applications</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s13235-025-00627-5\">https://doi.org/10.1007/s13235-025-00627-5</a>","short":"V. Hübner, C. Hilbe, M. Staab, M. Kleshnina, K. Chatterjee, Dynamic Games and Applications 15 (2025) 1617–1645.","ista":"Hübner V, Hilbe C, Staab M, Kleshnina M, Chatterjee K. 2025. Time-dependent strategies in repeated asymmetric public goods games. Dynamic Games and Applications. 15, 1617–1645."},"article_processing_charge":"Yes (via OA deal)","date_published":"2025-11-01T00:00:00Z","_id":"19074","date_created":"2025-02-23T23:01:57Z","date_updated":"2026-04-07T12:30:56Z","oa":1,"author":[{"first_name":"Valentin","id":"2c8aa207-dc7d-11ea-9b2f-f22972ecd910","last_name":"Hübner","orcid":"0009-0001-5009-4987","full_name":"Hübner, Valentin"},{"first_name":"Christian","id":"2FDF8F3C-F248-11E8-B48F-1D18A9856A87","last_name":"Hilbe","orcid":"0000-0001-5116-955X","full_name":"Hilbe, Christian"},{"last_name":"Staab","first_name":"Manuel","full_name":"Staab, Manuel"},{"first_name":"Maria","id":"4E21749C-F248-11E8-B48F-1D18A9856A87","last_name":"Kleshnina","orcid":"0000-0002-5518-8317","full_name":"Kleshnina, Maria"},{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X"}],"oa_version":"Published Version","publisher":"Springer Nature","month":"11","isi":1,"year":"2025","article_type":"original","corr_author":"1","has_accepted_license":"1","abstract":[{"lang":"eng","text":"The public goods game is among the most studied metaphors of cooperation in groups. In this game, individuals can use their endowments to make contributions towards a good that benefits everyone. Each individual, however, is tempted to free-ride on the contributions of others. Herein, we study repeated public goods games among asymmetric players. Previous work has explored to which extent asymmetry allows for full cooperation, such that players contribute their full endowment each round. However, by design that work focusses on equilibria where individuals make the same contribution each round. Instead, here we consider players whose contributions along the equilibrium path can change from one round to the next. We do so for three different models – one without any budget constraints, one with endowment constraints, and one in which individuals can save their current endowment to be used in subsequent rounds. In each case, we explore two key quantities: the welfare and the resource efficiency that can be achieved in equilibrium. Welfare corresponds to the sum of all players’ payoffs. Resource efficiency relates this welfare to the total contributions made by the players. Compared to constant contribution sequences, we find that time-dependent contributions can improve resource efficiency across all three models. Moreover, they can improve the players’ welfare in the model with savings."}],"scopus_import":"1","type":"journal_article","quality_controlled":"1","volume":15,"doi":"10.1007/s13235-025-00627-5","OA_type":"hybrid","file_date_updated":"2025-12-30T08:01:35Z","department":[{"_id":"KrCh"}],"OA_place":"publisher","ec_funded":1,"file":[{"file_size":1126178,"file_id":"20888","relation":"main_file","success":1,"creator":"dernst","file_name":"2025_DynGamesAppl_Huebner.pdf","date_updated":"2025-12-30T08:01:35Z","content_type":"application/pdf","checksum":"de0a412cbb7d98bf5e6a551c26acbefa","date_created":"2025-12-30T08:01:35Z","access_level":"open_access"}],"title":"Time-dependent strategies in repeated asymmetric public goods games","ddc":["000"],"publication":"Dynamic Games and Applications","acknowledgement":"This work was supported by the European Research Council CoG 863818 (ForM-SMArt) (to K.C.) and the European Research Council Starting Grant 850529: E-DIRECT (to C.H.), the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement #754411 and the French Agence Nationale de la Recherche (under the Investissement d’Avenir programme, ANR-17-EURE-0010), and ARC SRIEAS Grant SR200100005 Securing Antarctica’s Environmental Future (to M.K.). Open access funding provided by Institute of Science and Technology (IST Austria).","day":"01","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}},{"corr_author":"1","has_accepted_license":"1","type":"dissertation","degree_awarded":"PhD","file":[{"file_id":"20644","relation":"source_file","file_size":32589295,"checksum":"b5eed6a3dccb83cd2a8a22e11fd7d867","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","file_name":"2025_Mondal_Soumyadip_Thesis.docx","date_created":"2025-11-13T16:47:47Z","date_updated":"2025-11-13T16:47:47Z","access_level":"closed","creator":"smondal"},{"creator":"smondal","date_updated":"2025-11-13T16:47:46Z","date_created":"2025-11-13T16:47:46Z","file_name":"2025_Mondal_Soumyadip_Thesis.pdf","checksum":"89b1529e0a7b524f46624d73ecadf8cb","content_type":"application/pdf","access_level":"closed","embargo":"2026-11-13","embargo_to":"open_access","file_size":5007370,"file_id":"20645","relation":"main_file"}],"OA_place":"publisher","department":[{"_id":"GradSch"},{"_id":"StFr"}],"file_date_updated":"2025-11-13T16:47:47Z","doi":"10.15479/AT-ISTA-20607","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","acknowledgement":"I gratefully acknowledge the support of the ISTA Graduate School and the Scientific Service Units of\r\nISTA, whose resources made this work possible—especially the Imaging & Optics Facility, the Lab\r\nSupport Facility, and the Miba Machine Shop. I would like to thank two staff scientists in particular:\r\nRobert Hauschild (Imaging & Optics Facility) and Daniel Balazs (Lab Support Facility), for their\r\nassistance and advice. My PhD was partially funded by the Austrian Science Fund (FWF)\r\n(10.55776/P37169 and 10.55776/COE5).","day":"19","title":"Oxygen and sulfur redox : Conversion kinetics and phase equilibria","ddc":["541","543","542"],"language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["2663-337X"],"isbn":["978-3-99078-071-8"]},"related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"12065"},{"status":"public","id":"13044","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"20437","status":"deleted"},{"status":"public","id":"14687","relation":"part_of_dissertation"}]},"page":"71","project":[{"name":"Singlet oxygen in non-aqueous oxygen redox chemistry","_id":"8df062be-16d5-11f0-9cad-f559b6612c7e","grant_number":"P37169"}],"alternative_title":["ISTA Thesis"],"supervisor":[{"full_name":"Freunberger, Stefan Alexander","orcid":"0000-0003-2902-5319","last_name":"Freunberger","id":"A8CA28E6-CE23-11E9-AD2D-EC27E6697425","first_name":"Stefan Alexander"}],"date_updated":"2026-04-07T12:27:24Z","date_created":"2025-11-07T12:40:54Z","acknowledged_ssus":[{"_id":"Bio"},{"_id":"SSU"},{"_id":"LifeSc"},{"_id":"M-Shop"}],"_id":"20607","date_published":"2025-09-19T00:00:00Z","article_processing_charge":"No","citation":{"ieee":"S. Mondal, “Oxygen and sulfur redox : Conversion kinetics and phase equilibria,” Institute of Science and Technology Austria, 2025.","mla":"Mondal, Soumyadip. <i>Oxygen and Sulfur Redox : Conversion Kinetics and Phase Equilibria</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20607\">10.15479/AT-ISTA-20607</a>.","ama":"Mondal S. Oxygen and sulfur redox : Conversion kinetics and phase equilibria. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20607\">10.15479/AT-ISTA-20607</a>","chicago":"Mondal, Soumyadip. “Oxygen and Sulfur Redox : Conversion Kinetics and Phase Equilibria.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20607\">https://doi.org/10.15479/AT-ISTA-20607</a>.","apa":"Mondal, S. (2025). <i>Oxygen and sulfur redox : Conversion kinetics and phase equilibria</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20607\">https://doi.org/10.15479/AT-ISTA-20607</a>","short":"S. Mondal, Oxygen and Sulfur Redox : Conversion Kinetics and Phase Equilibria, Institute of Science and Technology Austria, 2025.","ista":"Mondal S. 2025. Oxygen and sulfur redox : Conversion kinetics and phase equilibria. Institute of Science and Technology Austria."},"year":"2025","month":"09","publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","author":[{"full_name":"Mondal, Soumyadip","last_name":"Mondal","first_name":"Soumyadip","id":"d25d21ef-dc8d-11ea-abe3-ec4576307f48"}]},{"ddc":["576"],"title":"Evolution and regulation of the Z chromosome","day":"10","acknowledgement":"This work was supported by the Austrian Science Fund (FWF) through grants PAT8748323\r\nand SFB F88-10 awarded to Professor Beatriz Vicoso.","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","doi":"10.15479/AT-ISTA-20449","file_date_updated":"2025-11-06T12:42:09Z","OA_place":"publisher","department":[{"_id":"GradSch"},{"_id":"BeVi"}],"file":[{"file_id":"20507","relation":"main_file","file_size":18507283,"embargo_to":"open_access","file_name":"2025_Bett_Vincent_Thesis.pdf","date_created":"2025-10-20T13:32:29Z","checksum":"26905c22bca417198a733d792d8ce422","content_type":"application/pdf","date_updated":"2025-10-20T13:32:29Z","access_level":"closed","embargo":"2026-06-01","creator":"vbett"},{"creator":"vbett","file_name":"2025_Bett_Vincent_Thesis.docx","content_type":"application/vnd.openxmlformats-officedocument.wordprocessingml.document","checksum":"6a09a8d126d3628bfd8a35202735f267","date_created":"2025-10-20T13:35:34Z","date_updated":"2025-11-06T12:42:09Z","access_level":"closed","file_size":17163921,"file_id":"20508","relation":"source_file"}],"degree_awarded":"PhD","type":"dissertation","has_accepted_license":"1","corr_author":"1","author":[{"first_name":"Vincent K","id":"57854184-AAE0-11E9-8D04-98D6E5697425","last_name":"Bett","full_name":"Bett, Vincent K"}],"month":"10","publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","year":"2025","citation":{"short":"V.K. Bett, Evolution and Regulation of the Z Chromosome, Institute of Science and Technology Austria, 2025.","ista":"Bett VK. 2025. Evolution and regulation of the Z chromosome. Institute of Science and Technology Austria.","ama":"Bett VK. Evolution and regulation of the Z chromosome. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20449\">10.15479/AT-ISTA-20449</a>","mla":"Bett, Vincent K. <i>Evolution and Regulation of the Z Chromosome</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20449\">10.15479/AT-ISTA-20449</a>.","ieee":"V. K. Bett, “Evolution and regulation of the Z chromosome,” Institute of Science and Technology Austria, 2025.","apa":"Bett, V. K. (2025). <i>Evolution and regulation of the Z chromosome</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20449\">https://doi.org/10.15479/AT-ISTA-20449</a>","chicago":"Bett, Vincent K. “Evolution and Regulation of the Z Chromosome.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20449\">https://doi.org/10.15479/AT-ISTA-20449</a>."},"article_processing_charge":"No","date_published":"2025-10-10T00:00:00Z","acknowledged_ssus":[{"_id":"ScienComp"}],"_id":"20449","date_updated":"2026-04-07T12:28:15Z","date_created":"2025-10-11T08:18:51Z","supervisor":[{"first_name":"Beatriz","id":"49E1C5C6-F248-11E8-B48F-1D18A9856A87","last_name":"Vicoso","orcid":"0000-0002-4579-8306","full_name":"Vicoso, Beatriz"}],"alternative_title":["ISTA Thesis"],"project":[{"name":"Sex chromosomes in evolution and development","_id":"8ed82125-16d5-11f0-9cad-fbcae312235b","grant_number":"PAT 8748323"},{"name":"The highjacking of meiosis for asexual reproduction","_id":"34ae1506-11ca-11ed-8bc3-c14f4c474396","grant_number":"F8810"}],"page":"114","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"19735"},{"id":"15009","relation":"part_of_dissertation","status":"public"}]},"publication_identifier":{"issn":["2663-337X"]},"status":"public","language":[{"iso":"eng"}]},{"author":[{"full_name":"Zivadinovic, Predrag","first_name":"Predrag","id":"68AA0E5A-AFDA-11E9-9994-141DE6697425","last_name":"Zivadinovic"}],"oa_version":"Published Version","publisher":"Institute of Science and Technology Austria","month":"12","year":"2025","article_processing_charge":"No","citation":{"ieee":"P. Zivadinovic, “Scale-free activity as a basis for spatial learning and memory in the brain,” Institute of Science and Technology Austria, 2025.","mla":"Zivadinovic, Predrag. <i>Scale-Free Activity as a Basis for Spatial Learning and Memory in the Brain</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20777\">10.15479/AT-ISTA-20777</a>.","ama":"Zivadinovic P. Scale-free activity as a basis for spatial learning and memory in the brain. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20777\">10.15479/AT-ISTA-20777</a>","chicago":"Zivadinovic, Predrag. “Scale-Free Activity as a Basis for Spatial Learning and Memory in the Brain.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20777\">https://doi.org/10.15479/AT-ISTA-20777</a>.","apa":"Zivadinovic, P. (2025). <i>Scale-free activity as a basis for spatial learning and memory in the brain</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20777\">https://doi.org/10.15479/AT-ISTA-20777</a>","short":"P. Zivadinovic, Scale-Free Activity as a Basis for Spatial Learning and Memory in the Brain, Institute of Science and Technology Austria, 2025.","ista":"Zivadinovic P. 2025. Scale-free activity as a basis for spatial learning and memory in the brain. Institute of Science and Technology Austria."},"_id":"20777","date_published":"2025-12-11T00:00:00Z","date_created":"2025-12-10T19:37:41Z","date_updated":"2026-04-07T12:30:06Z","supervisor":[{"full_name":"Csicsvari, Jozsef L","orcid":"0000-0002-5193-4036","id":"3FA14672-F248-11E8-B48F-1D18A9856A87","first_name":"Jozsef L","last_name":"Csicsvari"}],"alternative_title":["ISTA Thesis"],"page":"104","project":[{"name":"Functional Advantages of Critical Brain Dynamics","_id":"eb943429-77a9-11ec-83b8-9f471cdf5c67","grant_number":"M03318"}],"language":[{"iso":"eng"}],"publication_identifier":{"issn":["2663-337X"]},"status":"public","title":"Scale-free activity as a basis for spatial learning and memory in the brain","ddc":["570","539","571"],"day":"11","acknowledgement":"My work has been funded through the project \"Functional Advantages of Critical Brain\r\nDynamics\" of the ISTA interdisciplinary fund and through the FWF.\r\n","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","publication_status":"published","doi":"10.15479/AT-ISTA-20777","file_date_updated":"2025-12-11T11:15:17Z","OA_place":"publisher","department":[{"_id":"GradSch"},{"_id":"JoCs"}],"file":[{"relation":"main_file","file_id":"20778","file_size":8105379,"embargo_to":"open_access","embargo":"2026-06-11","access_level":"closed","date_created":"2025-12-10T19:28:20Z","date_updated":"2025-12-11T11:15:17Z","checksum":"aae9d1ed53f7b67f75e289c26a02b72f","content_type":"application/pdf","file_name":"2025_Zivadinovic_Predrag_PhD_thesis.pdf","creator":"pzivadin"},{"creator":"pzivadin","access_level":"closed","date_updated":"2025-12-10T19:28:10Z","file_name":"2025_Zivadinovic_Predrag_PhD_thesis_source.zip","date_created":"2025-12-10T19:28:10Z","checksum":"8a08a3804ce7d9d625fdf1631113da8c","content_type":"application/zip","file_size":8512240,"relation":"source_file","file_id":"20779"}],"degree_awarded":"PhD","type":"dissertation","has_accepted_license":"1","corr_author":"1"},{"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","publication_status":"published","day":"27","acknowledgement":"Funding sources The works included in this thesis were partially supported by:\r\n• Austrian Science Fund (FWF), grants 10.55776/COE12 and No RiSE/SHiNE S11407,\r\n• French Agence Nationale de la Recherche (ANR), grants ANR-21-CE40-0020 (CONVERGENCE) and ANR-20-CE40-0002 (GrHyDy),\r\n• Fondation Mathématique Jaques Hadamard, grant PGMO RSG 2018-0031H,\r\n• European Research Council (ERC), Consolidator grant 863818 (ForM-SMArt),\r\n• Agencia Nacional de Investigación y Desarrollo (ANID Chile), grant ACT210005,\r\n• Fondo Nacional de Desarrollo Científico y Tecnológico (Fondecyt Chile), grant 1220174,\r\n• Comisión Nacional de Investigación Científica y Tecnológica (CONICYT Chile), grant\r\nPII 20150140,\r\n• Evaluation-orientation de la Coopération Scientifique and Comisión Nacional de Investigación Científica y Tecnológica (ECOS-CONICYT), grant C15E03,\r\n• European Cooperation in Science and Technology (E-COST), grants CA16228 - European\r\nNetwork for Game Theory (GAMENET) and E-COST-GRANT-CA16228-c5a69859.\r\n","ddc":["519"],"title":"Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games","file":[{"success":1,"creator":"rsaonaur","date_created":"2025-08-28T14:47:07Z","date_updated":"2025-08-28T14:47:07Z","content_type":"application/pdf","file_name":"2025_Saona_Raimundo_Thesis.pdf","checksum":"394a651f7de7085e509ef856ffe7bd97","access_level":"open_access","file_size":1503623,"file_id":"20240","relation":"main_file"},{"file_id":"20241","relation":"source_file","file_size":622747,"content_type":"application/zip","file_name":"2025_Saona_Raimundo_Thesis.zip","checksum":"09fb2633e66aac80433d373f4180c5b4","date_updated":"2025-08-28T14:47:12Z","date_created":"2025-08-28T14:47:12Z","access_level":"closed","creator":"rsaonaur"}],"ec_funded":1,"department":[{"_id":"GradSch"},{"_id":"KrCh"}],"OA_place":"publisher","file_date_updated":"2025-08-28T14:47:12Z","doi":"10.15479/AT-ISTA-20234","type":"dissertation","degree_awarded":"PhD","abstract":[{"lang":"eng","text":"Game Theory is the mathematical formalization of social dynamics - systems where agents interact over time and the evolution of the state of the system depends on the decisions of every player. \r\nThis thesis takes the perspective of a single player and focuses on what they can guarantee in the worst case over the behavior of other players.\r\nIn other words, we consider that the objective of every other player in the game is exactly the opposite to the player.\r\nWe focus on sustained interactions over time, where the players repeatedly obtain quantitative rewards over time, and they are interested in maximizing their long-term performance.\t\r\nFormally, this thesis focuses on zero-sum games with the liminf average objective.\r\nTwo fundamental questions that Game Theory aims to answer are the following.\r\n\r\n1. How much can a player guarantee to obtain after the interaction?\r\n\r\n2. How to act in order to obtain the previously mentioned guarantee?\r\n\r\nThese questions are formalized by the concepts of \"value\" and \"optimal strategies\". \t\r\nWe study their properties on games that exhibit one or more of the following properties. \r\n\r\n1. Partial Observation: \r\nthe players can not perfectly observe the current state of the system during the game. We consider the model of (finite) Partially Observable Markov Decision Processes and prove that finite-memory strategies are sufficient to approximately guarantee the value.\r\n\r\n2. Perturbed Description: \r\nthe formal description of the game is perturbed by a small parameter.\r\nWe consider the model of (finite) Perturbed Matrix Games, and provide algorithms to check various robustness properties and to compute the parameterized value and optimal strategies.\r\n\r\n3. Stochastic Transitions: \r\nthe actions of the players determine the behavior of the evolution of the system, described as a probability distribution over the next state.\r\nWe consider the model of (finite) Perturbed Stochastic Games and provide formulas for the marginal value.\r\n\r\n4. Infinite States: \r\nthe system can be in infinitely many states.\r\nWe consider the model of Random Dynamic Games on a class of infinite graphs, prove the existence of the value, and quantify the concentration of finite-horizon values."}],"corr_author":"1","has_accepted_license":"1","year":"2025","oa_version":"Published Version","month":"08","publisher":"Institute of Science and Technology Austria","author":[{"id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","first_name":"Raimundo J","last_name":"Saona Urmeneta","full_name":"Saona Urmeneta, Raimundo J","orcid":"0000-0001-5103-038X"}],"supervisor":[{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee"}],"oa":1,"date_created":"2025-08-27T14:00:13Z","date_updated":"2026-04-07T12:31:22Z","_id":"20234","date_published":"2025-08-27T00:00:00Z","citation":{"ama":"Saona Urmeneta RJ. Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20234\">10.15479/AT-ISTA-20234</a>","mla":"Saona Urmeneta, Raimundo J. <i>Robustness of Solutions in Game Theory : Values and Strategies in Partially Observable, Perturbed, Stochastic, and Infinite Games</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20234\">10.15479/AT-ISTA-20234</a>.","ieee":"R. J. Saona Urmeneta, “Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games,” Institute of Science and Technology Austria, 2025.","apa":"Saona Urmeneta, R. J. (2025). <i>Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20234\">https://doi.org/10.15479/AT-ISTA-20234</a>","chicago":"Saona Urmeneta, Raimundo J. “Robustness of Solutions in Game Theory : Values and Strategies in Partially Observable, Perturbed, Stochastic, and Infinite Games.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20234\">https://doi.org/10.15479/AT-ISTA-20234</a>.","short":"R.J. Saona Urmeneta, Robustness of Solutions in Game Theory : Values and Strategies in Partially Observable, Perturbed, Stochastic, and Infinite Games, Institute of Science and Technology Austria, 2025.","ista":"Saona Urmeneta RJ. 2025. Robustness of solutions in game theory : Values and strategies in partially observable, perturbed, stochastic, and infinite games. Institute of Science and Technology Austria."},"article_processing_charge":"No","page":"125","related_material":{"record":[{"relation":"part_of_dissertation","id":"9311","status":"public"},{"id":"17037","relation":"part_of_dissertation","status":"public"},{"id":"18266","relation":"part_of_dissertation","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"19508"}]},"project":[{"call_identifier":"FWF","name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","grant_number":"S11407"},{"call_identifier":"H2020","grant_number":"863818","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"alternative_title":["ISTA Thesis"],"language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["2663-337X"]}},{"project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020"}],"related_material":{"record":[{"status":"public","id":"20234","relation":"dissertation_contains"}]},"page":"1517-1535","intvolume":"        15","external_id":{"isi":["001449708900001"]},"publication_identifier":{"issn":["2153-0785"],"eissn":["2153-0793"]},"status":"public","PlanS_conform":"1","language":[{"iso":"eng"}],"article_type":"original","year":"2025","isi":1,"month":"11","oa_version":"Published Version","publisher":"Springer Nature","author":[{"last_name":"Attia","first_name":"Luc","full_name":"Attia, Luc"},{"last_name":"Lichev","first_name":"Lyuben","id":"9aa8388e-d003-11ee-8458-c4c1d7447977","full_name":"Lichev, Lyuben"},{"full_name":"Mitsche, Dieter","last_name":"Mitsche","first_name":"Dieter"},{"last_name":"Saona Urmeneta","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","first_name":"Raimundo J","full_name":"Saona Urmeneta, Raimundo J","orcid":"0000-0001-5103-038X"},{"full_name":"Ziliotto, Bruno","last_name":"Ziliotto","first_name":"Bruno"}],"date_created":"2025-04-06T22:01:32Z","date_updated":"2026-04-07T12:31:21Z","oa":1,"date_published":"2025-11-01T00:00:00Z","_id":"19508","article_processing_charge":"Yes (via OA deal)","citation":{"chicago":"Attia, Luc, Lyuben Lichev, Dieter Mitsche, Raimundo J Saona Urmeneta, and Bruno Ziliotto. “Random Zero-Sum Dynamic Games on Infinite Directed Graphs.” <i>Dynamic Games and Applications</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s13235-025-00636-4\">https://doi.org/10.1007/s13235-025-00636-4</a>.","apa":"Attia, L., Lichev, L., Mitsche, D., Saona Urmeneta, R. J., &#38; Ziliotto, B. (2025). Random zero-sum dynamic games on infinite directed graphs. <i>Dynamic Games and Applications</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s13235-025-00636-4\">https://doi.org/10.1007/s13235-025-00636-4</a>","ieee":"L. Attia, L. Lichev, D. Mitsche, R. J. Saona Urmeneta, and B. Ziliotto, “Random zero-sum dynamic games on infinite directed graphs,” <i>Dynamic Games and Applications</i>, vol. 15. Springer Nature, pp. 1517–1535, 2025.","mla":"Attia, Luc, et al. “Random Zero-Sum Dynamic Games on Infinite Directed Graphs.” <i>Dynamic Games and Applications</i>, vol. 15, Springer Nature, 2025, pp. 1517–35, doi:<a href=\"https://doi.org/10.1007/s13235-025-00636-4\">10.1007/s13235-025-00636-4</a>.","ama":"Attia L, Lichev L, Mitsche D, Saona Urmeneta RJ, Ziliotto B. Random zero-sum dynamic games on infinite directed graphs. <i>Dynamic Games and Applications</i>. 2025;15:1517-1535. doi:<a href=\"https://doi.org/10.1007/s13235-025-00636-4\">10.1007/s13235-025-00636-4</a>","ista":"Attia L, Lichev L, Mitsche D, Saona Urmeneta RJ, Ziliotto B. 2025. Random zero-sum dynamic games on infinite directed graphs. Dynamic Games and Applications. 15, 1517–1535.","short":"L. Attia, L. Lichev, D. Mitsche, R.J. Saona Urmeneta, B. Ziliotto, Dynamic Games and Applications 15 (2025) 1517–1535."},"volume":15,"scopus_import":"1","type":"journal_article","quality_controlled":"1","corr_author":"1","has_accepted_license":"1","abstract":[{"text":"We consider random two-player zero-sum dynamic games with perfect information on a class of infinite directed graphs. Starting from a fixed vertex, the players take turns to move a token along the edges of the graph. Every vertex is assigned a payoff known in advance by both players. Every time the token visits a vertex, Player 2 pays Player 1 the corresponding payoff. We consider a distribution over such games by assigning i.i.d. payoffs to the vertices. On the one hand, for acyclic directed graphs of bounded degree and sub-exponential expansion, we show that, when the duration of the game tends to infinity, the value converges almost surely to a constant at an exponential rate dominated in terms of the expansion. On the other hand, for the infinite d-ary tree (that does not fall into the previous class of graphs), we show convergence at a double-exponential rate.","lang":"eng"}],"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). This work was supported by the French Agence Nationale de la Recherche (ANR) under references ANR-21-CE40-0020 (CONVERGENCE project) and ANR-20-CE40-0002 (GrHyDy), by Fondecyt grant 1220174, by ANID Chile grant ACT210005, and by the ERC CoG 863818 (ForM-SMArt) grant. This collaboration was mainly conducted during a 1-year visit of Bruno Ziliotto to the Center for Mathematical Modeling (CMM) at University of Chile in 2023, under the IRL program of CNRS. This work was supported by Fondation CFM pour la Recherche. This paper has also been funded by the Agence Nationale de la Recherche under grant ANR-17-EURE-0010 (Investissements d’Avenir program).","day":"01","ddc":["000"],"publication":"Dynamic Games and Applications","title":"Random zero-sum dynamic games on infinite directed graphs","file":[{"relation":"main_file","file_id":"20891","file_size":570994,"access_level":"open_access","date_created":"2025-12-30T08:13:04Z","file_name":"2025_DynGamesAppl_Attia.pdf","date_updated":"2025-12-30T08:13:04Z","checksum":"b3a1b7eef40c9ac2acf3fef563081694","content_type":"application/pdf","creator":"dernst","success":1}],"ec_funded":1,"department":[{"_id":"MaKw"},{"_id":"KrCh"}],"OA_place":"publisher","file_date_updated":"2025-12-30T08:13:04Z","OA_type":"hybrid","doi":"10.1007/s13235-025-00636-4"},{"author":[{"last_name":"Attia","first_name":"Luc","full_name":"Attia, Luc"},{"full_name":"Oliu-Barton, Miquel","last_name":"Oliu-Barton","first_name":"Miquel"},{"first_name":"Raimundo J","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","last_name":"Saona Urmeneta","orcid":"0000-0001-5103-038X","full_name":"Saona Urmeneta, Raimundo J"}],"month":"02","oa_version":"None","publisher":"Institute for Operations Research and the Management Sciences","year":"2025","isi":1,"article_type":"original","citation":{"apa":"Attia, L., Oliu-Barton, M., &#38; Saona Urmeneta, R. J. (2025). Marginal values of a stochastic game. <i>Mathematics of Operations Research</i>. Institute for Operations Research and the Management Sciences. <a href=\"https://doi.org/10.1287/moor.2023.0297\">https://doi.org/10.1287/moor.2023.0297</a>","chicago":"Attia, Luc, Miquel Oliu-Barton, and Raimundo J Saona Urmeneta. “Marginal Values of a Stochastic Game.” <i>Mathematics of Operations Research</i>. Institute for Operations Research and the Management Sciences, 2025. <a href=\"https://doi.org/10.1287/moor.2023.0297\">https://doi.org/10.1287/moor.2023.0297</a>.","ama":"Attia L, Oliu-Barton M, Saona Urmeneta RJ. Marginal values of a stochastic game. <i>Mathematics of Operations Research</i>. 2025;50(1):482-505. doi:<a href=\"https://doi.org/10.1287/moor.2023.0297\">10.1287/moor.2023.0297</a>","mla":"Attia, Luc, et al. “Marginal Values of a Stochastic Game.” <i>Mathematics of Operations Research</i>, vol. 50, no. 1, Institute for Operations Research and the Management Sciences, 2025, pp. 482–505, doi:<a href=\"https://doi.org/10.1287/moor.2023.0297\">10.1287/moor.2023.0297</a>.","ieee":"L. Attia, M. Oliu-Barton, and R. J. Saona Urmeneta, “Marginal values of a stochastic game,” <i>Mathematics of Operations Research</i>, vol. 50, no. 1. Institute for Operations Research and the Management Sciences, pp. 482–505, 2025.","ista":"Attia L, Oliu-Barton M, Saona Urmeneta RJ. 2025. Marginal values of a stochastic game. Mathematics of Operations Research. 50(1), 482–505.","short":"L. Attia, M. Oliu-Barton, R.J. Saona Urmeneta, Mathematics of Operations Research 50 (2025) 482–505."},"article_processing_charge":"No","date_published":"2025-02-01T00:00:00Z","_id":"17037","date_created":"2024-05-22T11:41:14Z","date_updated":"2026-04-07T12:31:21Z","intvolume":"        50","project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","call_identifier":"H2020"}],"related_material":{"record":[{"id":"20234","relation":"dissertation_contains","status":"public"}]},"page":"482-505","publication_identifier":{"issn":["0364-765X"],"eissn":["1526-5471"]},"status":"public","language":[{"iso":"eng"}],"issue":"1","external_id":{"isi":["001184648000001"]},"publication":"Mathematics of Operations Research","title":"Marginal values of a stochastic game","day":"01","acknowledgement":"This work was supported by Fondation CFM pour la Recherche; the European Research Council [Grant ERC-CoG-863818 (ForM-SMArt)]; and Agence Nationale de la Recherche [Grant ANR-21-CE40-0020].","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","doi":"10.1287/moor.2023.0297","department":[{"_id":"GradSch"},{"_id":"KrCh"}],"ec_funded":1,"scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":50,"abstract":[{"lang":"eng","text":"Zero-sum stochastic games are parameterized by payoffs, transitions, and possibly a discount rate. In this article, we study how the main solution concepts, the discounted and undiscounted values, vary when these parameters are perturbed. We focus on the marginal values, introduced by Mills in 1956 in the context of matrix games—that is, the directional derivatives of the value along any fixed perturbation. We provide a formula for the marginal values of a discounted stochastic game. Further, under mild assumptions on the perturbation, we provide a formula for their limit as the discount rate vanishes and for the marginal values of an undiscounted stochastic game. We also show, via an example, that the two latter differ in general."}]},{"external_id":{"arxiv":["2410.06813"],"isi":["001565019000005"]},"issue":"10","PlanS_conform":"1","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0010-3616"],"eissn":["1432-0916"]},"status":"public","related_material":{"record":[{"id":"19547","relation":"earlier_version","status":"public"},{"status":"public","id":"20575","relation":"dissertation_contains"}]},"intvolume":"       406","article_number":"253","arxiv":1,"oa":1,"date_created":"2025-09-10T05:38:17Z","date_updated":"2026-04-07T12:32:19Z","article_processing_charge":"Yes (via OA deal)","citation":{"ama":"Erdös L, Henheik SJ, Riabov V. Cusp universality for correlated random matrices. <i>Communications in Mathematical Physics</i>. 2025;406(10). doi:<a href=\"https://doi.org/10.1007/s00220-025-05417-z\">10.1007/s00220-025-05417-z</a>","mla":"Erdös, László, et al. “Cusp Universality for Correlated Random Matrices.” <i>Communications in Mathematical Physics</i>, vol. 406, no. 10, 253, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00220-025-05417-z\">10.1007/s00220-025-05417-z</a>.","ieee":"L. Erdös, S. J. Henheik, and V. Riabov, “Cusp universality for correlated random matrices,” <i>Communications in Mathematical Physics</i>, vol. 406, no. 10. Springer Nature, 2025.","apa":"Erdös, L., Henheik, S. J., &#38; Riabov, V. (2025). Cusp universality for correlated random matrices. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-025-05417-z\">https://doi.org/10.1007/s00220-025-05417-z</a>","chicago":"Erdös, László, Sven Joscha Henheik, and Volodymyr Riabov. “Cusp Universality for Correlated Random Matrices.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00220-025-05417-z\">https://doi.org/10.1007/s00220-025-05417-z</a>.","short":"L. Erdös, S.J. Henheik, V. Riabov, Communications in Mathematical Physics 406 (2025).","ista":"Erdös L, Henheik SJ, Riabov V. 2025. Cusp universality for correlated random matrices. Communications in Mathematical Physics. 406(10), 253."},"_id":"20322","date_published":"2025-09-01T00:00:00Z","year":"2025","isi":1,"article_type":"original","author":[{"full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös"},{"last_name":"Henheik","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha"},{"last_name":"Riabov","first_name":"Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","full_name":"Riabov, Volodymyr"}],"publisher":"Springer Nature","oa_version":"Published Version","month":"09","abstract":[{"lang":"eng","text":"For correlated real symmetric or complex Hermitian random matrices, we prove that the local eigenvalue statistics at any cusp singularity are universal. Since the density of states typically exhibits only square root edge or cubic root cusp singularities, our result completes the proof of the Wigner–Dyson–Mehta universality conjecture in all spectral regimes for a very general class of random matrices. Previously only the bulk and the edge universality were established in this generality (Alt et al. in Ann Probab 48(2):963–1001, 2020), while cusp universality was proven only for Wigner-type matrices with independent entries (Cipolloni et al. in Pure Appl Anal 1:615–707, 2019; Erdős et al. in Commun. Math. Phys. 378:1203–1278, 2018). As our main technical input, we prove an optimal local law at the cusp using the <jats:italic>Zigzag strategy</jats:italic>, a recursive tandem of the characteristic flow method and a Green function comparison argument. Moreover, our proof of the optimal local law holds uniformly in the spectrum, thus we also provide a significantly simplified alternative proof of the local eigenvalue universality in the previously studied bulk (Erdős et al. in Forum Math. Sigma 7:E8, 2019) and edge (Alt et al. in Ann Probab 48(2):963–1001, 2020) regimes."}],"has_accepted_license":"1","corr_author":"1","type":"journal_article","quality_controlled":"1","scopus_import":"1","volume":406,"department":[{"_id":"LaEr"}],"OA_place":"publisher","file":[{"access_level":"open_access","date_created":"2025-09-10T07:48:21Z","date_updated":"2025-09-10T07:48:21Z","file_name":"2025_CommMathPhysics_Erdoes.pdf","checksum":"abd32af7b8ca6dc5b9080823a433986b","content_type":"application/pdf","creator":"dernst","success":1,"relation":"main_file","file_id":"20336","file_size":1465827}],"doi":"10.1007/s00220-025-05417-z","file_date_updated":"2025-09-10T07:48:21Z","OA_type":"hybrid","acknowledgement":"We thank Giorgio Cipolloni for many productive discussions and the anonymous referees for several useful suggestions and spotting some typos. Open access funding provided by Institute of Science and Technology (IST Austria).","day":"01","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","publication":"Communications in Mathematical Physics","title":"Cusp universality for correlated random matrices","ddc":["510"]},{"corr_author":"1","abstract":[{"text":"We prove that a very general class of $N\\times N$ Hermitian random band matrices is in the delocalized phase when the band width $W$ exceeds the critical threshold, $W\\gg \\sqrt{N}$. In this regime, we show that, in the bulk spectrum, the eigenfunctions are fully delocalized, the eigenvalues follow the universal Wigner-Dyson statistics, and quantum unique ergodicity holds for general diagonal observables with an optimal convergence rate. Our results are valid for general variance profiles, arbitrary single entry distributions, in both real-symmetric and complex-Hermitian symmetry classes. In particular, our work substantially generalizes the recent breakthrough result of Yau and Yin [arXiv:2501.01718], obtained for a specific complex Hermitian Gaussian block band matrix. The main technical input is the optimal multi-resolvent local laws -- both in the averaged and fully isotropic form. We also generalize the $\\sqrtη$-rule from [arXiv:2012.13215] to exploit the additional effect of traceless observables. Our analysis is based on the zigzag strategy, complemented with a new global-scale estimate derived using the static version of the master inequalities, while the zig-step and the a priori estimates on the deterministic approximations are proven dynamically.","lang":"eng"}],"status":"public","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2506.06441"}],"type":"preprint","project":[{"grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"}],"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"20575"}]},"date_created":"2025-10-29T19:09:03Z","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"OA_place":"repository","date_updated":"2026-04-07T12:32:19Z","oa":1,"ec_funded":1,"citation":{"ista":"Erdös L, Riabov V. The zigzag strategy for random band matrices. arXiv, <a href=\"https://doi.org/10.48550/ARXIV.2506.06441\">10.48550/ARXIV.2506.06441</a>.","short":"L. Erdös, V. Riabov, ArXiv (n.d.).","apa":"Erdös, L., &#38; Riabov, V. (n.d.). The zigzag strategy for random band matrices. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2506.06441\">https://doi.org/10.48550/ARXIV.2506.06441</a>","chicago":"Erdös, László, and Volodymyr Riabov. “The Zigzag Strategy for Random Band Matrices.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/ARXIV.2506.06441\">https://doi.org/10.48550/ARXIV.2506.06441</a>.","ama":"Erdös L, Riabov V. The zigzag strategy for random band matrices. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/ARXIV.2506.06441\">10.48550/ARXIV.2506.06441</a>","ieee":"L. Erdös and V. Riabov, “The zigzag strategy for random band matrices,” <i>arXiv</i>. .","mla":"Erdös, László, and Volodymyr Riabov. “The Zigzag Strategy for Random Band Matrices.” <i>ArXiv</i>, doi:<a href=\"https://doi.org/10.48550/ARXIV.2506.06441\">10.48550/ARXIV.2506.06441</a>."},"article_processing_charge":"No","doi":"10.48550/ARXIV.2506.06441","date_published":"2025-06-06T00:00:00Z","_id":"20576","acknowledgement":" Supported by the ERC\r\nAdvanced Grant ”RMTBeyond” No. 101020331.","year":"2025","day":"06","publication_status":"draft","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","publication":"arXiv","author":[{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"},{"last_name":"Riabov","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","first_name":"Volodymyr","full_name":"Riabov, Volodymyr"}],"title":"The zigzag strategy for random band matrices","oa_version":"Preprint","month":"06"},{"corr_author":"1","has_accepted_license":"1","abstract":[{"text":"This thesis deals with eigenvalue and eigenvector universality results for random matrix ensembles equipped with non-trivial spatial structure. We consider both mean-field models with a general variance profile (Wigner-type matrices) and correlation structure (correlated matrices) among the entries, as well as non-mean-field random band matrices with bandwidth W >> N^(1/2).\r\n\r\nTo extract the universal properties of random matrix spectra and eigenvectors, we obtain concentration estimates for their resolvent, the local laws, which generalize the celebrated Wigner semicircle law for a broad class of random matrices to much finer spectral scales. The local laws hold for both a single resolvent as well as for products of multiple resolvents, known as resolvent chains, and express the remarkable approximately-deterministic behavior of these objects down to the microscopic scale.\r\n\r\nOur primary tool for establishing the local laws is the dynamical Zigzag strategy, which we develop in the setting of spatially-inhomogeneous random matrices. Our proof method systematically addresses the challenges arising from non-trivial spatial structures and is robust to all types of singularities in the spectrum, as we demonstrate in the correlated setting. Furthermore, we incorporate the analysis of the deterministic resolvent chain approximations into the dynamical framework of the Zigzag strategy, synthesizing a unified toolkit for establishing multi-resolvent local laws.\r\n\r\nUsing these methods, we prove complete eigenvector delocalization, the Eigenstate Thermalization Hypothesis, and Wigner-Dyson universality in the bulk for random band matrices down to the optimal bandwidth W >> N^(1/2). For mean-field ensembles, we establish universality of local eigenvalue statistics at the cups for random matrices with correlated entries, and the Eigenstate Thermalization Hypothesis for Wigner-type matrices in the bulk of the spectrum.\r\n\r\nFinally, this thesis also contains other applications of the multi-resolvent local laws to spatially-inhomogeneous random matrices, obtained prior to the development of the Zigzag strategy. In particular, we provide a complete analysis of mesoscopic linear-eigenvalue statistics of Wigner-type matrices in all spectral regimes, including the novel cusps, and rigorously establish the prethermalization phenomenon for deformed Wigner matrices.\r\n\r\nThe main body of this thesis consists of seven research papers (listed on page xi), each presented in a separate chapter with its own introduction and all relevant context, suitable to be read independently. We ask the reader’s indulgence for the repetitions in the historical overviews and other minor redundancies that remain among the chapters as a result. The overall Introduction, preceding the chapters, provides a condensed, informal summary of the main ideas and concepts at the core of these works.\r\n","lang":"eng"}],"degree_awarded":"PhD","type":"dissertation","doi":"10.15479/AT-ISTA-20575","file_date_updated":"2025-10-29T18:54:53Z","OA_place":"publisher","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"ec_funded":1,"file":[{"file_id":"20577","relation":"main_file","file_size":7536583,"date_updated":"2025-10-29T18:53:59Z","date_created":"2025-10-29T18:53:59Z","file_name":"riabov_thesis-pdfa.pdf","content_type":"application/pdf","checksum":"6a0487b2b66bb35d44b394756d44b8b4","access_level":"open_access","success":1,"creator":"vriabov"},{"relation":"source_file","file_id":"20578","file_size":17841612,"access_level":"closed","date_created":"2025-10-29T18:54:53Z","date_updated":"2025-10-29T18:54:53Z","checksum":"224efda6bf9864d296a1e5e0124c1e8f","file_name":"manuscript.zip","content_type":"application/x-zip-compressed","creator":"vriabov"}],"ddc":["515","519"],"title":"Universality in random matrices with spatial structure","day":"3","acknowledgement":"The work comprising this thesis was supported by the ERC Advanced Grant \"RMTBeyond\"\r\nNo.101020331 awarded to my advisor.","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","status":"public","publication_identifier":{"isbn":["978-3-99078-064-0"],"issn":["2663-337X"]},"language":[{"iso":"eng"}],"alternative_title":["ISTA Thesis"],"project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"page":"436","related_material":{"record":[{"id":"20322","relation":"part_of_dissertation","status":"public"},{"status":"public","id":"18764","relation":"part_of_dissertation"},{"status":"public","id":"13317","relation":"part_of_dissertation"},{"status":"deleted","relation":"part_of_dissertation","id":"19368"},{"id":"18554","relation":"part_of_dissertation","status":"public"},{"id":"20576","relation":"part_of_dissertation","status":"public"},{"id":"17174","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","id":"19547","status":"public"},{"relation":"part_of_dissertation","id":"19598","status":"public"}]},"citation":{"ieee":"V. Riabov, “Universality in random matrices with spatial structure,” Institute of Science and Technology Austria, 2025.","mla":"Riabov, Volodymyr. <i>Universality in Random Matrices with Spatial Structure</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20575\">10.15479/AT-ISTA-20575</a>.","ama":"Riabov V. Universality in random matrices with spatial structure. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20575\">10.15479/AT-ISTA-20575</a>","chicago":"Riabov, Volodymyr. “Universality in Random Matrices with Spatial Structure.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20575\">https://doi.org/10.15479/AT-ISTA-20575</a>.","apa":"Riabov, V. (2025). <i>Universality in random matrices with spatial structure</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20575\">https://doi.org/10.15479/AT-ISTA-20575</a>","short":"V. Riabov, Universality in Random Matrices with Spatial Structure, Institute of Science and Technology Austria, 2025.","ista":"Riabov V. 2025. Universality in random matrices with spatial structure. Institute of Science and Technology Austria."},"article_processing_charge":"No","date_published":"2025-11-03T00:00:00Z","_id":"20575","date_created":"2025-10-29T19:12:24Z","date_updated":"2026-04-07T12:32:20Z","oa":1,"supervisor":[{"full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös"}],"author":[{"last_name":"Riabov","first_name":"Volodymyr","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","full_name":"Riabov, Volodymyr"}],"publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","month":"11","year":"2025"},{"status":"public","publication_identifier":{"issn":["0178-8051"],"eissn":["1432-2064"]},"language":[{"iso":"eng"}],"PlanS_conform":"1","external_id":{"arxiv":["2307.07432"],"isi":["001466997300001"]},"intvolume":"       193","arxiv":1,"page":"1183-1237","related_material":{"record":[{"relation":"dissertation_contains","id":"20575","status":"public"}]},"citation":{"chicago":"Riabov, Volodymyr. “Linear Eigenvalue Statistics at the Cusp.” <i>Probability Theory and Related Fields</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00440-025-01373-w\">https://doi.org/10.1007/s00440-025-01373-w</a>.","apa":"Riabov, V. (2025). Linear Eigenvalue statistics at the cusp. <i>Probability Theory and Related Fields</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00440-025-01373-w\">https://doi.org/10.1007/s00440-025-01373-w</a>","mla":"Riabov, Volodymyr. “Linear Eigenvalue Statistics at the Cusp.” <i>Probability Theory and Related Fields</i>, vol. 193, Springer Nature, 2025, pp. 1183–237, doi:<a href=\"https://doi.org/10.1007/s00440-025-01373-w\">10.1007/s00440-025-01373-w</a>.","ieee":"V. Riabov, “Linear Eigenvalue statistics at the cusp,” <i>Probability Theory and Related Fields</i>, vol. 193. Springer Nature, pp. 1183–1237, 2025.","ama":"Riabov V. Linear Eigenvalue statistics at the cusp. <i>Probability Theory and Related Fields</i>. 2025;193:1183-1237. doi:<a href=\"https://doi.org/10.1007/s00440-025-01373-w\">10.1007/s00440-025-01373-w</a>","ista":"Riabov V. 2025. Linear Eigenvalue statistics at the cusp. Probability Theory and Related Fields. 193, 1183–1237.","short":"V. Riabov, Probability Theory and Related Fields 193 (2025) 1183–1237."},"article_processing_charge":"Yes (via OA deal)","date_published":"2025-12-01T00:00:00Z","_id":"19598","date_updated":"2026-04-07T12:32:19Z","date_created":"2025-04-20T22:01:28Z","oa":1,"author":[{"last_name":"Riabov","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","first_name":"Volodymyr","full_name":"Riabov, Volodymyr"}],"month":"12","publisher":"Springer Nature","oa_version":"Published Version","isi":1,"year":"2025","article_type":"original","has_accepted_license":"1","corr_author":"1","abstract":[{"text":"We establish universal Gaussian fluctuations for the mesoscopic linear eigenvalue statistics in the vicinity of the cusp-like singularities of the limiting spectral density for Wigner-type random matrices. Prior to this work, the linear eigenvalue statistics at the cusp-like singularities were not studied in any ensemble. Our analysis covers not only the exact cusps but the entire transitionary regime from the square-root singularity at a regular edge through the sharp cusp to the bulk. We identify a new one-parameter family of functionals that govern the limiting bias and variance, continuously interpolating between the previously known formulas in the bulk and at a regular edge. Since cusps are the only possible singularities besides the regular edges, our result gives a complete description of the linear eigenvalue statistics in all regimes.","lang":"eng"}],"scopus_import":"1","type":"journal_article","quality_controlled":"1","volume":193,"doi":"10.1007/s00440-025-01373-w","file_date_updated":"2025-12-30T13:10:05Z","OA_type":"hybrid","department":[{"_id":"LaEr"}],"OA_place":"publisher","file":[{"file_id":"20916","relation":"main_file","file_size":919213,"date_created":"2025-12-30T13:10:05Z","date_updated":"2025-12-30T13:10:05Z","checksum":"700229b280725c0d6aad0d71362cce5f","content_type":"application/pdf","file_name":"2025_ProbTheoryRelatFields_Riabov.pdf","access_level":"open_access","creator":"dernst","success":1}],"title":"Linear Eigenvalue statistics at the cusp","publication":"Probability Theory and Related Fields","ddc":["510"],"day":"01","acknowledgement":"I would like to express my gratitude to László Erdős for his careful guidance and supervision of my work. I am also thankful to Jana Reker and Joscha Henheik for many helpful discussions. Open access funding provided by Institute of Science and Technology (IST Austria).","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}},{"file_date_updated":"2025-12-16T21:52:19Z","doi":"10.15479/AT-ISTA-20811","file":[{"file_name":"2025_Rella_Simon_Thesis.pdf","content_type":"application/pdf","checksum":"a0bd7a585720e60df284101b8afdf6bb","date_created":"2025-12-16T21:49:52Z","date_updated":"2025-12-16T21:49:52Z","access_level":"open_access","success":1,"creator":"srella","file_id":"20831","relation":"main_file","file_size":29019662},{"creator":"srella","date_updated":"2025-12-16T21:52:19Z","file_name":"2025_Rella_Simon_Thesis_Sourcefiles.zip","date_created":"2025-12-16T21:52:19Z","content_type":"application/zip","checksum":"b8b3a90932ae1d96d307838710f46e32","access_level":"open_access","file_size":42094025,"file_id":"20832","relation":"source_file"}],"department":[{"_id":"GradSch"},{"_id":"GaTk"},{"_id":"FyKo"}],"OA_place":"publisher","ddc":["616","576","614","519"],"title":"Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"short":"CC BY-NC-ND (4.0)","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode"},"publication_status":"published","day":"15","abstract":[{"lang":"eng","text":"\tThis thesis is organized into two parts, each comprising two chapters: Chapter 1 and 2 offer models for the evolution of vaccine resistance in response to diverse vaccination strategies. Chapter 3 and 4 review the statistics of records, their connection to models of innovation and an application to the cultural evolution of sports.\r\n\tIn chapter 1 we present a modelling study from 2021 on the evolution of SARS-CoV-2. At that time the vaccine-resistant Omicron variant had not yet evolved. In our model we consider a population that is becoming vaccinated over time, while a pathogen is spreading in the population and eventually becoming resistant to the vaccine. We explore effective pharmaceutical and non-pharmaceutical interventions to prevent the emergence of vaccine resistance. \r\n\tIn chapter 2 we model a particular set of complex vaccination strategies, mosaic and pyramid vaccination, where an immunologically diverse portfolio of vaccines is considered. We find that a bet-hatching strategy, in which vaccine types are distributed in the population, is effective at hindering the evolution of vaccine resistance if mutation rates are high. \r\n\tIn chapter 3 we switch gears and present a review on the statistics of records. We highlight similarities and analogies to other models in the fields of statistical physics, evolution and innovation. This offers interesting complimentary perspectives on well-known models. \r\n\tIn chapter 4 we apply models of record statistics and innovation to study cultural evolution in sport. We propose a model of sport evolution that combines deterministic improvements in performance and stochastic bursts of improvements due to innovation. "}],"has_accepted_license":"1","corr_author":"1","degree_awarded":"PhD","type":"dissertation","_id":"20811","date_published":"2025-12-15T00:00:00Z","citation":{"ista":"Rella S. 2025. Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation. Institute of Science and Technology Austria.","short":"S. Rella, Adaptive Processes in Biology and Culture : Models of Evolving Vaccine Resistance and the Record Statistics of Innovation, Institute of Science and Technology Austria, 2025.","apa":"Rella, S. (2025). <i>Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20811\">https://doi.org/10.15479/AT-ISTA-20811</a>","chicago":"Rella, Simon. “Adaptive Processes in Biology and Culture : Models of Evolving Vaccine Resistance and the Record Statistics of Innovation.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20811\">https://doi.org/10.15479/AT-ISTA-20811</a>.","ama":"Rella S. Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20811\">10.15479/AT-ISTA-20811</a>","ieee":"S. Rella, “Adaptive processes in biology and culture : Models of evolving vaccine resistance and the record statistics of innovation,” Institute of Science and Technology Austria, 2025.","mla":"Rella, Simon. <i>Adaptive Processes in Biology and Culture : Models of Evolving Vaccine Resistance and the Record Statistics of Innovation</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20811\">10.15479/AT-ISTA-20811</a>."},"article_processing_charge":"No","supervisor":[{"orcid":"0000-0002-6699-1455","full_name":"Tkačik, Gašper","first_name":"Gašper","id":"3D494DCA-F248-11E8-B48F-1D18A9856A87","last_name":"Tkačik"},{"last_name":"Kondrashov","id":"44FDEF62-F248-11E8-B48F-1D18A9856A87","first_name":"Fyodor","full_name":"Kondrashov, Fyodor","orcid":"0000-0001-8243-4694"}],"oa":1,"date_created":"2025-12-12T14:39:56Z","date_updated":"2026-04-07T12:34:58Z","month":"12","oa_version":"Published Version","publisher":"Institute of Science and Technology Austria","author":[{"full_name":"Rella, Simon","last_name":"Rella","id":"B4765ACA-AA38-11E9-AC9A-0930E6697425","first_name":"Simon"}],"year":"2025","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2663-337X"]},"status":"public","related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"18307"},{"relation":"part_of_dissertation","id":"9905","status":"public"}]},"page":"95","alternative_title":["ISTA Thesis"]},{"type":"dissertation","degree_awarded":"MS","abstract":[{"text":"Left–right alternation is a defining feature of spinal locomotor circuits, yet the level of neuronal\r\ndetail required to generate and maintain this pattern remains unclear. This thesis investigates how\r\nmodels spanning multiple levels of abstraction—from biophysically detailed Hodgkin–Huxley (HH)\r\nneurons to adaptive integrate–and–fire (I&F) formulations and synfire-chain modules—can account\r\nfor the generation of fictive swimming in the spinal cord of the Xenopus laevis tadpole. The guiding\r\nhypothesis is that a small set of neuronal mechanisms is sufficient to reproduce the essential features\r\nof rhythmic alternation, and that moving between modeling scales helps distinguish core principles\r\nfrom biological detail.\r\nA minimal bilateral HH network comprising only four canonical neuron classes—excitatory\r\ndescending interneurons (dINs), inhibitory commissural interneurons (cINs), ipsilateral inhibitory\r\ninterneurons (aINs) and motoneurons—served as a biophysical proof of concept. Tuned to reproduce\r\nexperimentally observed firing modes, the model demonstrated that rebound-prone dIN excitability,\r\ncontralateral inhibition and modest electrical coupling are sufficient to generate stable alternating\r\nactivity, even in very small networks. These results motivated the transition to simpler models\r\ncapable of efficient analysis and scaling.\r\nAdaptive exponential I&F (AdEx) neurons were calibrated to physiological recordings using\r\nsimulation-based inference, yielding tonic and phasic/rebound templates that preserved the key\r\ndynamical signatures of the HH model. Phase-plane analysis clarified the mechanisms underlying\r\nsingle-spike responses and rebound firing in dINs. At network level, the I&F models robustly\r\nreproduced left–right alternation, while highlighting constraints on synaptic kinetics and adaptation\r\nneeded to avoid multi-spike responses.\r\nFinally, a synfire-chain framework provided a complementary, timing-centric perspective, demonstrating how precise spike synchrony, synaptic delays and minimal inhibitory coupling can generate\r\nalternating left–right sequences in a feedforward setting. Together, these approaches converge on a\r\ncommon conclusion: rebound-prone ipsilateral excitation combined with precisely timed contralateral inhibition constitutes a sufficient substrate for alternating spinal rhythms.\r\nBy integrating bottom-up and top-down modeling strategies, this thesis provides a unified, extensible framework for studying spinal pattern generation. The results show that essential locomotor\r\ndynamics can be captured across multiple abstraction levels, offering both mechanistic insight and\r\npractical tools for future data-driven investigations of spinal circuit development, robustness and\r\nmodulation.","lang":"eng"}],"has_accepted_license":"1","corr_author":"1","day":"09","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","publication_status":"published","title":"Modelling the spinal cord of a tadpole : Exploring different ways to model the spinal cord in the Xenopus frog","ddc":["570","596","005"],"department":[{"_id":"GradSch"},{"_id":"TiVo"},{"_id":"LoSw"}],"OA_place":"publisher","file":[{"creator":"awilson","file_name":"tadpoleAdEx.zip","checksum":"9e3b6b73f8cbec2c3687d17fe8e30410","content_type":"application/zip","date_created":"2026-01-01T17:26:30Z","date_updated":"2026-01-02T13:05:07Z","access_level":"closed","file_size":566072368,"file_id":"20919","relation":"source_file"},{"access_level":"open_access","content_type":"application/pdf","checksum":"13f4c0d33923e9d5c9d56731345cf21d","date_updated":"2026-01-04T12:58:49Z","file_name":"Masters_Thesis_Alexia_Wilson_FINAL_pdfA.pdf","date_created":"2026-01-04T12:58:49Z","success":1,"creator":"awilson","relation":"main_file","file_id":"20923","file_size":7170097}],"doi":"10.15479/AT-ISTA-20735","file_date_updated":"2026-01-04T12:58:49Z","alternative_title":["ISTA Master's Thesis"],"related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"13097"}]},"page":"110","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2791-4585"]},"status":"public","year":"2025","author":[{"full_name":"Wilson, Alexia C","orcid":"0000-0001-6191-1367","last_name":"Wilson","id":"5230e794-15b2-11ec-abd3-e2d5335ebd1d","first_name":"Alexia C"}],"month":"12","publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","oa":1,"date_updated":"2026-04-07T12:36:08Z","date_created":"2025-12-08T09:49:41Z","supervisor":[{"last_name":"Vogels","id":"CB6FF8D2-008F-11EA-8E08-2637E6697425","first_name":"Tim P","full_name":"Vogels, Tim P","orcid":"0000-0003-3295-6181"},{"last_name":"Sweeney","id":"56BE8254-C4F0-11E9-8E45-0B23E6697425","first_name":"Lora Beatrice Jaeger","full_name":"Sweeney, Lora Beatrice Jaeger","orcid":"0000-0001-9242-5601"}],"article_processing_charge":"No","citation":{"chicago":"Wilson, Alexia C. “Modelling the Spinal Cord of a Tadpole : Exploring Different Ways to Model the Spinal Cord in the Xenopus Frog.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20735\">https://doi.org/10.15479/AT-ISTA-20735</a>.","apa":"Wilson, A. C. (2025). <i>Modelling the spinal cord of a tadpole : Exploring different ways to model the spinal cord in the Xenopus frog</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20735\">https://doi.org/10.15479/AT-ISTA-20735</a>","ieee":"A. C. Wilson, “Modelling the spinal cord of a tadpole : Exploring different ways to model the spinal cord in the Xenopus frog,” Institute of Science and Technology Austria, 2025.","mla":"Wilson, Alexia C. <i>Modelling the Spinal Cord of a Tadpole : Exploring Different Ways to Model the Spinal Cord in the Xenopus Frog</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20735\">10.15479/AT-ISTA-20735</a>.","ama":"Wilson AC. Modelling the spinal cord of a tadpole : Exploring different ways to model the spinal cord in the Xenopus frog. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20735\">10.15479/AT-ISTA-20735</a>","ista":"Wilson AC. 2025. Modelling the spinal cord of a tadpole : Exploring different ways to model the spinal cord in the Xenopus frog. Institute of Science and Technology Austria.","short":"A.C. Wilson, Modelling the Spinal Cord of a Tadpole : Exploring Different Ways to Model the Spinal Cord in the Xenopus Frog, Institute of Science and Technology Austria, 2025."},"_id":"20735","date_published":"2025-12-09T00:00:00Z"},{"file":[{"relation":"main_file","file_id":"20809","file_size":47536855,"embargo_to":"open_access","embargo":"2026-06-15","access_level":"closed","checksum":"1be72faf529a5e8a2d03cb3d5f808b77","content_type":"application/pdf","file_name":"2025_Wald_Sebastian_Thesis.pdf","date_created":"2025-12-12T11:53:42Z","date_updated":"2025-12-17T09:46:34Z","creator":"swald"},{"file_size":40127601,"relation":"source_file","file_id":"20810","creator":"swald","access_level":"closed","date_updated":"2025-12-12T13:07:32Z","file_name":"2025_Wald_Sebastian_Thesis.zip","date_created":"2025-12-12T11:54:55Z","content_type":"application/x-zip-compressed","checksum":"8c3a1904dceb4bcd04bc9f14b2594bab"}],"OA_place":"publisher","department":[{"_id":"GradSch"},{"_id":"OnHo"}],"file_date_updated":"2025-12-17T09:46:34Z","doi":"10.15479/AT-ISTA-20798","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","tmp":{"name":"Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)","short":"CC BY-NC (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc/4.0/legalcode","image":"/images/cc_by_nc.png"},"publication_status":"published","day":"11","ddc":["530"],"title":"Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry","keyword":["entanglement-enhanced atom interferometry","cavity QED","spin-squeezing","dipole trap","quantum optics"],"has_accepted_license":"1","corr_author":"1","type":"dissertation","OA_embargo":"6","degree_awarded":"PhD","supervisor":[{"last_name":"Hosten","first_name":"Onur","id":"4C02D85E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2031-204X","full_name":"Hosten, Onur"}],"date_created":"2025-12-11T11:48:11Z","date_updated":"2026-04-07T12:35:11Z","_id":"20798","date_published":"2025-12-11T00:00:00Z","citation":{"short":"S. Wald, Atoms in a Propagating-Wave Cavity for Squeezed Mach-Zehnder Atom Interferometry, Institute of Science and Technology Austria, 2025.","ista":"Wald S. 2025. Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry. Institute of Science and Technology Austria.","ieee":"S. Wald, “Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry,” Institute of Science and Technology Austria, 2025.","mla":"Wald, Sebastian. <i>Atoms in a Propagating-Wave Cavity for Squeezed Mach-Zehnder Atom Interferometry</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20798\">10.15479/AT-ISTA-20798</a>.","ama":"Wald S. Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20798\">10.15479/AT-ISTA-20798</a>","chicago":"Wald, Sebastian. “Atoms in a Propagating-Wave Cavity for Squeezed Mach-Zehnder Atom Interferometry.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20798\">https://doi.org/10.15479/AT-ISTA-20798</a>.","apa":"Wald, S. (2025). <i>Atoms in a propagating-wave cavity for squeezed Mach-Zehnder atom interferometry</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20798\">https://doi.org/10.15479/AT-ISTA-20798</a>"},"article_processing_charge":"No","year":"2025","month":"12","oa_version":"Published Version","publisher":"Institute of Science and Technology Austria","author":[{"orcid":"0000-0002-5869-1604","full_name":"Wald, Sebastian","first_name":"Sebastian","id":"133F200A-B015-11E9-AD41-0EDAE5697425","last_name":"Wald"}],"language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["2663-337X"],"isbn":["978-3-99078-075-6"]},"page":"152","related_material":{"record":[{"status":"public","id":"14759","relation":"part_of_dissertation"}]},"alternative_title":["ISTA Thesis"]},{"conference":{"end_date":"2025-06-27","start_date":"2025-06-23","location":"Prague, Czechia","name":"STOC: Symposium on Theory of Computing"},"year":"2025","author":[{"orcid":"0000-0002-7840-5062","full_name":"Avvakumov, Sergey","first_name":"Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","last_name":"Avvakumov"},{"full_name":"Filakovský, Marek","first_name":"Marek","id":"3E8AF77E-F248-11E8-B48F-1D18A9856A87","last_name":"Filakovský"},{"orcid":"0000-0003-1245-3456","full_name":"Opršal, Jakub","first_name":"Jakub","id":"ec596741-c539-11ec-b829-c79322a91242","last_name":"Opršal"},{"first_name":"Gianluca","id":"0433290C-AF8F-11E9-A4C7-F729E6697425","last_name":"Tasinato","full_name":"Tasinato, Gianluca"},{"orcid":"0000-0002-1494-0568","full_name":"Wagner, Uli","last_name":"Wagner","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87"}],"publisher":"Association for Computing Machinery","oa_version":"Published Version","month":"06","date_created":"2025-07-13T22:01:23Z","date_updated":"2026-04-07T12:36:50Z","oa":1,"article_processing_charge":"Yes (in subscription journal)","citation":{"ista":"Avvakumov S, Filakovský M, Opršal J, Tasinato G, Wagner U. 2025. Hardness of 4-colouring G-colourable graphs. Proceedings of the 57th Annual ACM Symposium on Theory of Computing. STOC: Symposium on Theory of Computing, 72–83.","short":"S. Avvakumov, M. Filakovský, J. Opršal, G. Tasinato, U. Wagner, in:, Proceedings of the 57th Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, 2025, pp. 72–83.","apa":"Avvakumov, S., Filakovský, M., Opršal, J., Tasinato, G., &#38; Wagner, U. (2025). Hardness of 4-colouring G-colourable graphs. In <i>Proceedings of the 57th Annual ACM Symposium on Theory of Computing</i> (pp. 72–83). Prague, Czechia: Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3717823.3718154\">https://doi.org/10.1145/3717823.3718154</a>","chicago":"Avvakumov, Sergey, Marek Filakovský, Jakub Opršal, Gianluca Tasinato, and Uli Wagner. “Hardness of 4-Colouring G-Colourable Graphs.” In <i>Proceedings of the 57th Annual ACM Symposium on Theory of Computing</i>, 72–83. Association for Computing Machinery, 2025. <a href=\"https://doi.org/10.1145/3717823.3718154\">https://doi.org/10.1145/3717823.3718154</a>.","ama":"Avvakumov S, Filakovský M, Opršal J, Tasinato G, Wagner U. Hardness of 4-colouring G-colourable graphs. In: <i>Proceedings of the 57th Annual ACM Symposium on Theory of Computing</i>. Association for Computing Machinery; 2025:72-83. doi:<a href=\"https://doi.org/10.1145/3717823.3718154\">10.1145/3717823.3718154</a>","ieee":"S. Avvakumov, M. Filakovský, J. Opršal, G. Tasinato, and U. Wagner, “Hardness of 4-colouring G-colourable graphs,” in <i>Proceedings of the 57th Annual ACM Symposium on Theory of Computing</i>, Prague, Czechia, 2025, pp. 72–83.","mla":"Avvakumov, Sergey, et al. “Hardness of 4-Colouring G-Colourable Graphs.” <i>Proceedings of the 57th Annual ACM Symposium on Theory of Computing</i>, Association for Computing Machinery, 2025, pp. 72–83, doi:<a href=\"https://doi.org/10.1145/3717823.3718154\">10.1145/3717823.3718154</a>."},"date_published":"2025-06-15T00:00:00Z","_id":"20008","project":[{"call_identifier":"FWF","name":"Algorithms for Embeddings and Homotopy Theory","grant_number":"P31312","_id":"26611F5C-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","name":"IST-BRIDGE: International postdoctoral program","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","grant_number":"101034413"}],"page":"72-83","related_material":{"record":[{"relation":"dissertation_contains","id":"20339","status":"public"}]},"status":"public","publication_identifier":{"isbn":["9798400715105"],"issn":["0737-8017"]},"language":[{"iso":"eng"}],"acknowledgement":"This research was supported by the Austrian Science Fund (FWF project P31312-N35) and by project MSCAfellow5_MUNI (CZ.02.01.01/00/22_010/0003229) financed by the Ministry of Education, Youth and Sports of the Czech Republic. This project has also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No 101034413.","day":"15","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","ddc":["000"],"publication":"Proceedings of the 57th Annual ACM Symposium on Theory of Computing","title":"Hardness of 4-colouring G-colourable graphs","OA_place":"publisher","department":[{"_id":"UlWa"}],"ec_funded":1,"file":[{"success":1,"creator":"dernst","access_level":"open_access","content_type":"application/pdf","checksum":"2c9ae7ad0102c41124976f4cb5182760","file_name":"2025_STOC_Avvakumov.pdf","date_created":"2025-07-14T06:42:58Z","date_updated":"2025-07-14T06:42:58Z","file_size":940827,"relation":"main_file","file_id":"20013"}],"doi":"10.1145/3717823.3718154","OA_type":"hybrid","file_date_updated":"2025-07-14T06:42:58Z","scopus_import":"1","quality_controlled":"1","type":"conference","corr_author":"1","has_accepted_license":"1","abstract":[{"text":"We study the complexity of a class of promise graph homomorphism problems. For a fixed graph H, the H-colouring problem is to decide whether a given graph has a homomorphism to H. By a result of Hell and Nešetřil, this problem is NP-hard for any non-bipartite loop-less graph H. Brakensiek and Guruswami [SODA 2018] conjectured the hardness extends to promise graph homomorphism problems as follows: fix a pair of non-bipartite loop-less graphs G, H such that there is a homomorphism from G to H, it is NP-hard to distinguish between graphs that are G-colourable and those that are not H-colourable. We confirm this conjecture in the cases when both G and H are 4-colourable. This is a common generalisation of previous results of Khanna, Linial, and Safra [Comb. 20(3): 393-415 (2000)] and of Krokhin and Opršal [FOCS 2019]. The result is obtained by combining the algebraic approach to promise constraint satisfaction with methods of topological combinatorics and equivariant obstruction theory.","lang":"eng"}]},{"abstract":[{"lang":"eng","text":"This thesis investigates the interplay between algebraic and topological methods and combinatorial problems, focusing on approximate graph colourings and mass partitioning. The unifying theme throughout the dissertation is the use of continuous maps and symmetry constraints to extract combinatorial insights.\r\n\r\nWe first explore approximate graph colouring problems and more generally promise constraint satisfaction problems. Using tools from equivariant topology in combination with the general theory of polymorphism of a promise constraint satisfaction problem, we establish hardness for specific types of approximations.\r\n\r\nIn the second part, we address mass partitioning problems, where one seeks to divide geometric objects or measures in Euclidean space into parts of equal size using hyperplanes. Employing techniques from topological combinatorics (configuration space/test map setup and Borsuk–Ulam type theorems), we both obtain a new equipartitioning result in the and provide a fast algorithm for computing equipartitioning of point sets in 3D.\r\n"}],"corr_author":"1","has_accepted_license":"1","degree_awarded":"PhD","type":"dissertation","doi":"10.15479/AT-ISTA-20339","file_date_updated":"2025-09-11T12:26:14Z","department":[{"_id":"GradSch"},{"_id":"UlWa"}],"OA_place":"publisher","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","file":[{"date_updated":"2025-09-11T12:24:12Z","content_type":"application/x-zip-compressed","date_created":"2025-09-11T12:24:12Z","file_name":"thesis-source.zip","checksum":"ae097a515b9bb4d4b025ca854ae2ed76","access_level":"closed","creator":"gtasinat","file_id":"20344","relation":"source_file","file_size":2218562},{"success":1,"creator":"gtasinat","file_name":"2025_Tasinato_Gianluca_Thesis.pdf","checksum":"04b2e016409e52167ce42b0eef839fbf","content_type":"application/pdf","date_updated":"2025-09-11T12:26:14Z","date_created":"2025-09-11T12:26:14Z","access_level":"open_access","file_size":10071982,"file_id":"20345","relation":"main_file"}],"ddc":["516"],"title":"Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems","day":"10","tmp":{"image":"/images/cc_by_nc_sa.png","legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","short":"CC BY-NC-SA (4.0)","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)"},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","publication_status":"published","language":[{"iso":"eng"}],"status":"public","publication_identifier":{"issn":["2663-337X"]},"alternative_title":["ISTA Thesis"],"related_material":{"record":[{"id":"20008","relation":"part_of_dissertation","status":"public"},{"id":"15168","relation":"part_of_dissertation","status":"public"},{"relation":"part_of_dissertation","id":"19860","status":"public"}]},"page":"106","article_processing_charge":"No","citation":{"ista":"Tasinato G. 2025. Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems. Institute of Science and Technology Austria.","short":"G. Tasinato, Topological Methods in Discrete Geometry and Theoretical Computer Science : Measure Partitioning and Constraint Satisfaction Problems, Institute of Science and Technology Austria, 2025.","apa":"Tasinato, G. (2025). <i>Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/AT-ISTA-20339\">https://doi.org/10.15479/AT-ISTA-20339</a>","chicago":"Tasinato, Gianluca. “Topological Methods in Discrete Geometry and Theoretical Computer Science : Measure Partitioning and Constraint Satisfaction Problems.” Institute of Science and Technology Austria, 2025. <a href=\"https://doi.org/10.15479/AT-ISTA-20339\">https://doi.org/10.15479/AT-ISTA-20339</a>.","ama":"Tasinato G. Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems. 2025. doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20339\">10.15479/AT-ISTA-20339</a>","ieee":"G. Tasinato, “Topological methods in discrete geometry and theoretical computer science : Measure partitioning and constraint satisfaction problems,” Institute of Science and Technology Austria, 2025.","mla":"Tasinato, Gianluca. <i>Topological Methods in Discrete Geometry and Theoretical Computer Science : Measure Partitioning and Constraint Satisfaction Problems</i>. Institute of Science and Technology Austria, 2025, doi:<a href=\"https://doi.org/10.15479/AT-ISTA-20339\">10.15479/AT-ISTA-20339</a>."},"_id":"20339","date_published":"2025-09-10T00:00:00Z","oa":1,"date_created":"2025-09-10T12:17:55Z","date_updated":"2026-04-07T12:36:51Z","supervisor":[{"orcid":"0000-0002-1494-0568","full_name":"Wagner, Uli","last_name":"Wagner","first_name":"Uli","id":"36690CA2-F248-11E8-B48F-1D18A9856A87"}],"author":[{"full_name":"Tasinato, Gianluca","first_name":"Gianluca","id":"0433290C-AF8F-11E9-A4C7-F729E6697425","last_name":"Tasinato"}],"oa_version":"Published Version","publisher":"Institute of Science and Technology Austria","month":"09","year":"2025"},{"date_published":"2025-06-12T00:00:00Z","_id":"19860","citation":{"ista":"Aronov B, Basit A, Ramesh I, Tasinato G, Wagner U. 2025. Eight-partitioning points in 3D, and efficiently too. Discrete &#38; Computational Geometry.","short":"B. Aronov, A. Basit, I. Ramesh, G. Tasinato, U. Wagner, Discrete &#38; Computational Geometry (2025).","chicago":"Aronov, Boris, Abdul Basit, Indu Ramesh, Gianluca Tasinato, and Uli Wagner. “Eight-Partitioning Points in 3D, and Efficiently Too.” <i>Discrete &#38; Computational Geometry</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00454-025-00739-0\">https://doi.org/10.1007/s00454-025-00739-0</a>.","apa":"Aronov, B., Basit, A., Ramesh, I., Tasinato, G., &#38; Wagner, U. (2025). Eight-partitioning points in 3D, and efficiently too. <i>Discrete &#38; Computational Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00454-025-00739-0\">https://doi.org/10.1007/s00454-025-00739-0</a>","mla":"Aronov, Boris, et al. “Eight-Partitioning Points in 3D, and Efficiently Too.” <i>Discrete &#38; Computational Geometry</i>, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00454-025-00739-0\">10.1007/s00454-025-00739-0</a>.","ieee":"B. Aronov, A. Basit, I. Ramesh, G. Tasinato, and U. Wagner, “Eight-partitioning points in 3D, and efficiently too,” <i>Discrete &#38; Computational Geometry</i>. Springer Nature, 2025.","ama":"Aronov B, Basit A, Ramesh I, Tasinato G, Wagner U. Eight-partitioning points in 3D, and efficiently too. <i>Discrete &#38; Computational Geometry</i>. 2025. doi:<a href=\"https://doi.org/10.1007/s00454-025-00739-0\">10.1007/s00454-025-00739-0</a>"},"article_processing_charge":"Yes (via OA deal)","date_updated":"2026-04-07T12:36:50Z","date_created":"2025-06-22T22:02:07Z","oa":1,"oa_version":"Published Version","publisher":"Springer Nature","month":"06","author":[{"full_name":"Aronov, Boris","last_name":"Aronov","first_name":"Boris"},{"full_name":"Basit, Abdul","first_name":"Abdul","last_name":"Basit"},{"full_name":"Ramesh, Indu","first_name":"Indu","last_name":"Ramesh"},{"full_name":"Tasinato, Gianluca","first_name":"Gianluca","id":"0433290C-AF8F-11E9-A4C7-F729E6697425","last_name":"Tasinato"},{"last_name":"Wagner","id":"36690CA2-F248-11E8-B48F-1D18A9856A87","first_name":"Uli","full_name":"Wagner, Uli","orcid":"0000-0002-1494-0568"}],"article_type":"original","year":"2025","isi":1,"status":"public","publication_identifier":{"eissn":["1432-0444"],"issn":["0179-5376"]},"language":[{"iso":"eng"}],"external_id":{"isi":["001506904300001"],"arxiv":["2403.02627"]},"arxiv":1,"related_material":{"link":[{"url":"https://doi.org/10.1007/s00454-025-00759-w","relation":"erratum"}],"record":[{"relation":"earlier_version","id":"18917","status":"public"},{"status":"public","relation":"dissertation_contains","id":"20339"}]},"OA_type":"hybrid","doi":"10.1007/s00454-025-00739-0","OA_place":"publisher","department":[{"_id":"UlWa"}],"publication":"Discrete & Computational Geometry","title":"Eight-partitioning points in 3D, and efficiently too","publication_status":"epub_ahead","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","acknowledgement":"BA and AB would like to thank William Steiger for insightful initial discussions of the problems addressed in this work. Open Access funding enabled and organized by CAUL and its Member Institutions.","day":"12","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00454-025-00739-0"}],"abstract":[{"text":"An eight-partition of a finite set of points (respectively, of a continuous mass distribution) in R^3\r\n consists of three planes that divide the space into 8 octants, such that each open octant contains at most 1/8 of the points (respectively, of the mass). In 1966, Hadwiger showed that any mass distribution in R^3 admits an eight-partition; moreover, one can prescribe the normal direction of one of the three planes. The analogous result for finite point sets follows by a standard limit argument. We prove the following variant of this result: any mass distribution (or point set) in R^3 admits an eight-partition for which the intersection of two of the planes is a line with a prescribed direction. Moreover, we present an efficient algorithm for calculating an eight-partition of a set of n points in R^3 (with prescribed normal direction of one of the planes) in time O(n^7/3). A preliminary version of this work appeared in SoCG’24 (Aronov et al., 40th International Symposium on Computational Geometry, 2024).","lang":"eng"}],"scopus_import":"1","quality_controlled":"1","type":"journal_article"},{"issue":"2","external_id":{"isi":["001308182000001"]},"publication_identifier":{"eissn":["1469-4417"],"issn":["0143-3857"]},"status":"public","language":[{"iso":"eng"}],"project":[{"grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020"},{"_id":"9B8B92DE-BA93-11EA-9121-9846C619BF3A","grant_number":"885707","name":"Spectral rigidity and integrability for billiards and geodesic flows","call_identifier":"H2020"}],"page":"467-503","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"19540"}]},"intvolume":"        45","date_updated":"2026-04-07T12:37:10Z","date_created":"2024-09-22T22:01:43Z","oa":1,"article_processing_charge":"Yes (via OA deal)","citation":{"short":"S.J. Henheik, Ergodic Theory and Dynamical Systems 45 (2025) 467–503.","ista":"Henheik SJ. 2025. Deformational rigidity of integrable metrics on the torus. Ergodic Theory and Dynamical Systems. 45(2), 467–503.","ieee":"S. J. Henheik, “Deformational rigidity of integrable metrics on the torus,” <i>Ergodic Theory and Dynamical Systems</i>, vol. 45, no. 2. Cambridge University Press, pp. 467–503, 2025.","mla":"Henheik, Sven Joscha. “Deformational Rigidity of Integrable Metrics on the Torus.” <i>Ergodic Theory and Dynamical Systems</i>, vol. 45, no. 2, Cambridge University Press, 2025, pp. 467–503, doi:<a href=\"https://doi.org/10.1017/etds.2024.48\">10.1017/etds.2024.48</a>.","ama":"Henheik SJ. Deformational rigidity of integrable metrics on the torus. <i>Ergodic Theory and Dynamical Systems</i>. 2025;45(2):467-503. doi:<a href=\"https://doi.org/10.1017/etds.2024.48\">10.1017/etds.2024.48</a>","chicago":"Henheik, Sven Joscha. “Deformational Rigidity of Integrable Metrics on the Torus.” <i>Ergodic Theory and Dynamical Systems</i>. Cambridge University Press, 2025. <a href=\"https://doi.org/10.1017/etds.2024.48\">https://doi.org/10.1017/etds.2024.48</a>.","apa":"Henheik, S. J. (2025). Deformational rigidity of integrable metrics on the torus. <i>Ergodic Theory and Dynamical Systems</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/etds.2024.48\">https://doi.org/10.1017/etds.2024.48</a>"},"date_published":"2025-02-01T00:00:00Z","_id":"18112","isi":1,"year":"2025","article_type":"original","author":[{"full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha"}],"publisher":"Cambridge University Press","month":"02","oa_version":"Published Version","corr_author":"1","has_accepted_license":"1","abstract":[{"text":"It is conjectured that the only integrable metrics on the two-dimensional torus are Liouville metrics. In this paper, we study a deformative version of this conjecture: we consider integrable deformations of a non-flat Liouville metric in a conformal class and show that for a fairly large class of such deformations, the deformed metric is again Liouville. The principal idea of the argument is that the preservation of rational invariant tori in the foliation of the phase space forces a linear combination on the Fourier coefficients of the deformation to vanish. Showing that the resulting linear system is non-degenerate will then yield the claim. Since our method of proof immediately carries over to higher dimensional tori, we obtain analogous statements in this more general case. To put our results in perspective, we review existing results about integrable metrics on the torus.","lang":"eng"}],"scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":45,"department":[{"_id":"LaEr"}],"OA_place":"publisher","ec_funded":1,"file":[{"file_id":"18828","relation":"main_file","file_size":659100,"file_name":"2025_ErgodicTheory_Henheik.pdf","content_type":"application/pdf","checksum":"650fe115d998fe0ac3a8d0c7519447c8","date_updated":"2025-01-13T08:51:40Z","date_created":"2025-01-13T08:51:40Z","access_level":"open_access","success":1,"creator":"dernst"}],"doi":"10.1017/etds.2024.48","file_date_updated":"2025-01-13T08:51:40Z","OA_type":"hybrid","day":"01","acknowledgement":"I am very grateful to Vadim Kaloshin for suggesting the topic, his guidance during this project, and many helpful comments on an earlier version of the manuscript. Moreover, I would like to thank Comlan Edmond Koudjinan and Volodymyr Riabov for interesting discussions. Partial financial support by the ERC Advanced Grant ‘RMTBeyond’ No. 101020331 is gratefully acknowledged. This project received funding from the European Research Council (ERC) ERC Grant No. 885707.","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Deformational rigidity of integrable metrics on the torus","publication":"Ergodic Theory and Dynamical Systems","ddc":["510"]},{"acknowledgement":"We thank Giorgio Cipolloni for helpful discussions in a closely related joint project. Open access funding provided by Institute of Science and Technology (IST Austria). All authors were supported by the ERC Advanced Grant “RMTBeyond” No. 101020331.","day":"30","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Letters in Mathematical Physics","title":"Loschmidt echo for deformed Wigner matrices","ddc":["510"],"OA_place":"publisher","department":[{"_id":"LaEr"}],"ec_funded":1,"file":[{"relation":"main_file","file_id":"19004","file_size":828335,"access_level":"open_access","checksum":"ee07edf5f85a6f2651926b2f8760af74","file_name":"2025_LettersMathPhysics_Erdoes.pdf","content_type":"application/pdf","date_created":"2025-02-05T07:01:40Z","date_updated":"2025-02-05T07:01:40Z","success":1,"creator":"dernst"}],"doi":"10.1007/s11005-025-01904-5","pmid":1,"file_date_updated":"2025-02-05T07:01:40Z","OA_type":"hybrid","scopus_import":"1","quality_controlled":"1","type":"journal_article","volume":115,"has_accepted_license":"1","corr_author":"1","abstract":[{"text":"We consider two Hamiltonians that are close to each other, H1≈H2, and analyze the time-decay of the corresponding Loschmidt echo M(t):=|⟨ψ0,eitH2e−itH1ψ0⟩|2 that expresses the effect of an imperfect time reversal on the initial state ψ0. Our model Hamiltonians are deformed Wigner matrices that do not share a common eigenbasis. The main tools for our results are two-resolvent laws for such H1 and H2.","lang":"eng"}],"year":"2025","isi":1,"article_type":"original","author":[{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","last_name":"Erdös"},{"orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik"},{"orcid":"0000-0003-1491-4623","full_name":"Kolupaiev, Oleksii","last_name":"Kolupaiev","first_name":"Oleksii","id":"149b70d4-896a-11ed-bdf8-8c63fd44ca61"}],"publisher":"Springer Nature","month":"01","oa_version":"Published Version","date_created":"2025-02-05T06:48:29Z","date_updated":"2026-04-07T12:37:10Z","oa":1,"article_processing_charge":"Yes (via OA deal)","citation":{"chicago":"Erdös, László, Sven Joscha Henheik, and Oleksii Kolupaiev. “Loschmidt Echo for Deformed Wigner Matrices.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s11005-025-01904-5\">https://doi.org/10.1007/s11005-025-01904-5</a>.","apa":"Erdös, L., Henheik, S. J., &#38; Kolupaiev, O. (2025). Loschmidt echo for deformed Wigner matrices. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-025-01904-5\">https://doi.org/10.1007/s11005-025-01904-5</a>","ieee":"L. Erdös, S. J. Henheik, and O. Kolupaiev, “Loschmidt echo for deformed Wigner matrices,” <i>Letters in Mathematical Physics</i>, vol. 115. Springer Nature, 2025.","mla":"Erdös, László, et al. “Loschmidt Echo for Deformed Wigner Matrices.” <i>Letters in Mathematical Physics</i>, vol. 115, 14, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s11005-025-01904-5\">10.1007/s11005-025-01904-5</a>.","ama":"Erdös L, Henheik SJ, Kolupaiev O. Loschmidt echo for deformed Wigner matrices. <i>Letters in Mathematical Physics</i>. 2025;115. doi:<a href=\"https://doi.org/10.1007/s11005-025-01904-5\">10.1007/s11005-025-01904-5</a>","ista":"Erdös L, Henheik SJ, Kolupaiev O. 2025. Loschmidt echo for deformed Wigner matrices. Letters in Mathematical Physics. 115, 14.","short":"L. Erdös, S.J. Henheik, O. Kolupaiev, Letters in Mathematical Physics 115 (2025)."},"date_published":"2025-01-30T00:00:00Z","_id":"19001","project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"}]},"intvolume":"       115","article_number":"14","arxiv":1,"external_id":{"isi":["001409618800002"],"pmid":["39896265"],"arxiv":["2410.08108"]},"publication_identifier":{"issn":["1573-0530"]},"status":"public","language":[{"iso":"eng"}]},{"corr_author":"1","has_accepted_license":"1","abstract":[{"text":"We prove that a class of weakly perturbed Hamiltonians of the form H_λ= H_0 + λW, with W being a Wigner matrix, exhibits prethermalization. That is, the time evolution generated by H_λ relaxes to its ultimate thermal state via an intermediate prethermal state with a lifetime of order λ^{-2}. Moreover, we obtain a general relaxation formula, expressing the perturbed dynamics via the unperturbed dynamics and the ultimate thermal state. The proof relies on a two-resolvent law for the deformed Wigner matrix H_λ.","lang":"eng"}],"scopus_import":"1","type":"journal_article","quality_controlled":"1","volume":26,"doi":"10.1007/s00023-024-01518-y","OA_type":"hybrid","file_date_updated":"2025-06-25T05:38:34Z","OA_place":"publisher","department":[{"_id":"LaEr"}],"file":[{"file_id":"19895","relation":"main_file","file_size":977773,"date_updated":"2025-06-25T05:38:34Z","file_name":"2025_AnnalesHenriPoincare_Erdoes.pdf","checksum":"49e6a934db540206f7eaa0c798553ded","content_type":"application/pdf","date_created":"2025-06-25T05:38:34Z","access_level":"open_access","creator":"dernst","success":1}],"ec_funded":1,"publication":"Annales Henri Poincare","ddc":["510"],"title":"Prethermalization for deformed Wigner matrices","acknowledgement":"All authors were supported by the ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nJ.R. was additionally supported by the ERC Advanced Grant “LDRaM” No. 884584.\r\nWe thank Peter Reimann and Lennart Dabelow for helpful comments. Open access funding provided by Institute of Science and Technology (IST Austria).","day":"01","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","publication_identifier":{"issn":["1424-0637"]},"language":[{"iso":"eng"}],"external_id":{"isi":["001385326500001"],"arxiv":["2310.06677"]},"intvolume":"        26","arxiv":1,"project":[{"call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"related_material":{"record":[{"id":"17174","relation":"earlier_version","status":"public"},{"id":"20575","relation":"dissertation_contains","status":"public"},{"id":"19540","relation":"dissertation_contains","status":"public"}]},"page":"1991-2033","article_processing_charge":"Yes (via OA deal)","citation":{"ista":"Erdös L, Henheik SJ, Reker J, Riabov V. 2025. Prethermalization for deformed Wigner matrices. Annales Henri Poincare. 26, 1991–2033.","short":"L. Erdös, S.J. Henheik, J. Reker, V. Riabov, Annales Henri Poincare 26 (2025) 1991–2033.","chicago":"Erdös, László, Sven Joscha Henheik, Jana Reker, and Volodymyr Riabov. “Prethermalization for Deformed Wigner Matrices.” <i>Annales Henri Poincare</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00023-024-01518-y\">https://doi.org/10.1007/s00023-024-01518-y</a>.","apa":"Erdös, L., Henheik, S. J., Reker, J., &#38; Riabov, V. (2025). Prethermalization for deformed Wigner matrices. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-024-01518-y\">https://doi.org/10.1007/s00023-024-01518-y</a>","mla":"Erdös, László, et al. “Prethermalization for Deformed Wigner Matrices.” <i>Annales Henri Poincare</i>, vol. 26, Springer Nature, 2025, pp. 1991–2033, doi:<a href=\"https://doi.org/10.1007/s00023-024-01518-y\">10.1007/s00023-024-01518-y</a>.","ieee":"L. Erdös, S. J. Henheik, J. Reker, and V. Riabov, “Prethermalization for deformed Wigner matrices,” <i>Annales Henri Poincare</i>, vol. 26. Springer Nature, pp. 1991–2033, 2025.","ama":"Erdös L, Henheik SJ, Reker J, Riabov V. Prethermalization for deformed Wigner matrices. <i>Annales Henri Poincare</i>. 2025;26:1991-2033. doi:<a href=\"https://doi.org/10.1007/s00023-024-01518-y\">10.1007/s00023-024-01518-y</a>"},"date_published":"2025-06-01T00:00:00Z","_id":"18764","date_updated":"2026-04-07T12:37:11Z","date_created":"2025-01-05T23:01:59Z","oa":1,"author":[{"full_name":"Erdös, László","orcid":"0000-0001-5366-9603","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös"},{"orcid":"0000-0003-1106-327X","full_name":"Henheik, Sven Joscha","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","last_name":"Henheik"},{"full_name":"Reker, Jana","last_name":"Reker","id":"e796e4f9-dc8d-11ea-abe3-97e26a0323e9","first_name":"Jana"},{"last_name":"Riabov","id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","first_name":"Volodymyr","full_name":"Riabov, Volodymyr"}],"publisher":"Springer Nature","month":"06","oa_version":"Published Version","isi":1,"year":"2025","article_type":"original"}]