A cascade Suzuki–Miyaura cross-coupling between two non-symmetrical coupling partners gave rise to 9,10-dihydrophenanthrenes with full site-selectivity. The choice of base was critical to facilitate the challenging coupling of the secondary boronate group.
","lang":"eng"}]},{"doi":"10.1167/IOVS.62.10.14","abstract":[{"lang":"eng","text":"Inhibition or targeted deletion of histone deacetylase 3 (HDAC3) is neuroprotective in a variety neurodegenerative conditions, including retinal ganglion cells (RGCs) after acute optic nerve damage. Consistent with this, induced HDAC3 expression in cultured cells shows selective toxicity to neurons. Despite an established role for HDAC3 in neuronal pathology, little is known regarding the mechanism of this pathology."}],"article_processing_charge":"Yes","day":"16","_id":"10000","publication_status":"published","author":[{"full_name":"Schmitt, Heather M.","first_name":"Heather M.","last_name":"Schmitt"},{"first_name":"Rachel L.","full_name":"Fehrman, Rachel L.","last_name":"Fehrman"},{"orcid":"0000-0001-9642-1085","full_name":"Maes, Margaret E","first_name":"Margaret E","last_name":"Maes","id":"3838F452-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Yang","full_name":"Yang, Huan","first_name":"Huan"},{"last_name":"Guo","full_name":"Guo, Lian Wang","first_name":"Lian Wang"},{"full_name":"Schlamp, Cassandra L.","first_name":"Cassandra L.","last_name":"Schlamp"},{"full_name":"Pelzel, Heather R.","first_name":"Heather R.","last_name":"Pelzel"},{"last_name":"Nickells","first_name":"Robert W.","full_name":"Nickells, Robert W."}],"external_id":{"isi":["000695230000014"],"pmid":["34398198"]},"publisher":"Association for Research in Vision and Ophthalmology","ddc":["570"],"acknowledgement":"The authors thank Joel Dietz for maintaining the mice used in this study, Satoshi Kinoshita and the Translational Research Initiative in Pathology Laboratory at the University of Wisconsin-Madison for cutting retinal sections analyzed in this study, and Mark Banghart for statistical review of the data analysis. Supported by National Eye Institute Grants R01 EY012223 (RWN), R01 EY030123 (RWN), R01 EY029809 (LWG), R01 EY029809 (LWG) and a Vision Research CORE grant P30 EY016665, NRSA grant T32 GM081061, by an unrestricted research grant from Research to Prevent Blindness, Inc., and by a University of Wisconsin-Madison Vilas Life Cycle award and the Frederick A. Davis Research Chair (RWN). ","month":"08","has_accepted_license":"1","date_updated":"2023-08-14T06:35:17Z","file_date_updated":"2022-05-13T07:40:15Z","oa_version":"Published Version","oa":1,"article_type":"original","status":"public","volume":62,"citation":{"chicago":"Schmitt, Heather M., Rachel L. Fehrman, Margaret E Maes, Huan Yang, Lian Wang Guo, Cassandra L. Schlamp, Heather R. Pelzel, and Robert W. Nickells. “Increased Susceptibility and Intrinsic Apoptotic Signaling in Neurons by Induced HDAC3 Expression.” Investigative Ophthalmology and Visual Science. 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Nickells, Investigative Ophthalmology and Visual Science 62 (2021)."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","quality_controlled":"1","scopus_import":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","short":"CC BY-NC-ND (4.0)","image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)"},"date_created":"2021-09-12T22:01:23Z","publication":"Investigative Ophthalmology and Visual Science","title":"Increased susceptibility and intrinsic apoptotic signaling in neurons by induced HDAC3 expression","file":[{"date_updated":"2022-05-13T07:40:15Z","date_created":"2022-05-13T07:40:15Z","content_type":"application/pdf","file_size":19707796,"relation":"main_file","checksum":"c430967746f653aa1ae84ee617f62b73","file_name":"2021_IOVS_Schmitt.pdf","creator":"dernst","file_id":"11369","access_level":"open_access","success":1}],"language":[{"iso":"eng"}],"pmid":1,"year":"2021","type":"journal_article","issue":"10","article_number":"14","date_published":"2021-08-16T00:00:00Z","intvolume":" 62","isi":1,"publication_identifier":{"issn":["0146-0404"],"eissn":["1552-5783"]},"department":[{"_id":"SaSi"}]},{"isi":1,"publication_identifier":{"eisbn":["978-1-6654-4895-6"],"issn":["1043-6871"],"isbn":["978-1-6654-4896-3"]},"department":[{"_id":"KrCh"}],"arxiv":1,"page":"1-13","date_published":"2021-07-07T00:00:00Z","type":"conference","year":"2021","language":[{"iso":"eng"}],"publication":"Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science","title":"Symbolic time and space tradeoffs for probabilistic verification","date_created":"2021-09-12T22:01:24Z","quality_controlled":"1","scopus_import":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"K. Chatterjee, W. Dvorak, M. Henzinger, A. Svozil, in:, Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13.","ista":"Chatterjee K, Dvorak W, Henzinger M, Svozil A. 2021. Symbolic time and space tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS: Logic in Computer Science, 1–13.","ama":"Chatterjee K, Dvorak W, Henzinger M, Svozil A. Symbolic time and space tradeoffs for probabilistic verification. In: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. 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Rome, Italy: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/LICS52264.2021.9470739","chicago":"Chatterjee, Krishnendu, Wolfgang Dvorak, Monika Henzinger, and Alexander Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 1–13. Institute of Electrical and Electronics Engineers, 2021. https://doi.org/10.1109/LICS52264.2021.9470739."},"status":"public","oa":1,"keyword":["Computer science","Computational modeling","Markov processes","Probabilistic logic","Formal verification","Game Theory"],"oa_version":"Preprint","date_updated":"2025-07-10T11:15:45Z","month":"07","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2104.07466"}],"acknowledgement":"The authors are grateful to the anonymous referees for their valuable comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF) through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF) NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For M. H. the research leading to these results has received funding from the European Research Council under the European Unions Seventh Framework Programme (FP/2007–2013) / ERC Grant Agreement no. 340506.","ec_funded":1,"_id":"10002","external_id":{"arxiv":["2104.07466"],"isi":["000947350400089"]},"author":[{"first_name":"Krishnendu","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee"},{"last_name":"Dvorak","full_name":"Dvorak, Wolfgang","first_name":"Wolfgang"},{"full_name":"Henzinger, Monika H","orcid":"0000-0002-5008-6530","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","last_name":"Henzinger"},{"full_name":"Svozil, Alexander","first_name":"Alexander","last_name":"Svozil"}],"publisher":"Institute of Electrical and Electronics Engineers","publication_status":"published","project":[{"name":"Game Theory","_id":"25863FF4-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"S11407"},{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","grant_number":"863818","call_identifier":"H2020"}],"day":"07","conference":{"end_date":"2021-07-02","start_date":"2021-06-29","location":"Rome, Italy","name":"LICS: Logic in Computer Science"},"doi":"10.1109/LICS52264.2021.9470739","article_processing_charge":"No","abstract":[{"lang":"eng","text":"We present a faster symbolic algorithm for the following central problem in probabilistic verification: Compute the maximal end-component (MEC) decomposition of Markov decision processes (MDPs). This problem generalizes the SCC decomposition problem of graphs and closed recurrent sets of Markov chains. The model of symbolic algorithms is widely used in formal verification and model-checking, where access to the input model is restricted to only symbolic operations (e.g., basic set operations and computation of one-step neighborhood). For an input MDP with n vertices and m edges, the classical symbolic algorithm from the 1990s for the MEC decomposition requires O(n2) symbolic operations and O(1) symbolic space. The only other symbolic algorithm for the MEC decomposition requires O(nm−−√) symbolic operations and O(m−−√) symbolic space. A main open question is whether the worst-case O(n2) bound for symbolic operations can be beaten. We present a symbolic algorithm that requires O˜(n1.5) symbolic operations and O˜(n−−√) symbolic space. Moreover, the parametrization of our algorithm provides a trade-off between symbolic operations and symbolic space: for all 0<ϵ≤1/2 the symbolic algorithm requires O˜(n2−ϵ) symbolic operations and O˜(nϵ) symbolic space ( O˜ hides poly-logarithmic factors). Using our techniques we present faster algorithms for computing the almost-sure winning regions of ω -regular objectives for MDPs. We consider the canonical parity objectives for ω -regular objectives, and for parity objectives with d -priorities we present an algorithm that computes the almost-sure winning region with O˜(n2−ϵ) symbolic operations and O˜(nϵ) symbolic space, for all 0<ϵ≤1/2 ."}]},{"year":"2021","type":"conference","publication":"Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science","title":"Stochastic processes with expected stopping time","language":[{"iso":"eng"}],"scopus_import":"1","quality_controlled":"1","related_material":{"record":[{"status":"public","id":"18630","relation":"later_version"}]},"date_created":"2021-09-12T22:01:25Z","status":"public","citation":{"chicago":"Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected Stopping Time.” In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 1–13. 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Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","isi":1,"publication_identifier":{"eisbn":["978-1-6654-4895-6"],"issn":["1043-6871"],"isbn":["978-1-6654-4896-3"]},"department":[{"_id":"KrCh"}],"date_published":"2021-07-07T00:00:00Z","page":"1-13","arxiv":1,"ec_funded":1,"project":[{"name":"Formal Methods for Stochastic Models: Algorithms and Applications","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","call_identifier":"H2020","grant_number":"863818"}],"day":"07","conference":{"location":"Rome, Italy","start_date":"2021-06-29","name":"LICS: Logic in Computer Science","end_date":"2021-07-02"},"publisher":"Institute of Electrical and Electronics Engineers","_id":"10004","author":[{"id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","first_name":"Krishnendu"},{"last_name":"Doyen","full_name":"Doyen, Laurent","first_name":"Laurent"}],"publication_status":"published","external_id":{"isi":["000947350400036"],"arxiv":["2104.07278"]},"doi":"10.1109/LICS52264.2021.9470595","article_processing_charge":"No","abstract":[{"text":"Markov chains are the de facto finite-state model for stochastic dynamical systems, and Markov decision processes (MDPs) extend Markov chains by incorporating non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization criterion is the maximal expected total reward where the MDP stops after T steps, which can be computed by a simple dynamic programming algorithm. We consider a natural generalization of the problem where the stopping times can be chosen according to a probability distribution, such that the expected stopping time is T, to optimize the expected total reward. Quite surprisingly we establish inter-reducibility of the expected stopping-time problem for Markov chains with the Positivity problem (which is related to the well-known Skolem problem), for which establishing either decidability or undecidability would be a major breakthrough. Given the hardness of the exact problem, we consider the approximate version of the problem: we show that it can be solved in exponential time for Markov chains and in exponential space for MDPs.","lang":"eng"}],"oa":1,"oa_version":"Preprint","keyword":["Computer science","Heuristic algorithms","Memory management","Automata","Markov processes","Probability distribution","Complexity theory"],"month":"07","date_updated":"2025-09-08T14:54:13Z","acknowledgement":"We are grateful to the anonymous reviewers of LICS 2021 and of a previous version of this paper for insightful comments that helped improving the presentation. This research was partially supported by the grant ERC CoG 863818 (ForM-SMArt).","main_file_link":[{"url":"https://arxiv.org/abs/2104.07278","open_access":"1"}]},{"abstract":[{"text":"We study systems of nonlinear partial differential equations of parabolic type, in which the elliptic operator is replaced by the first-order divergence operator acting on a flux function, which is related to the spatial gradient of the unknown through an additional implicit equation. This setting, broad enough in terms of applications, significantly expands the paradigm of nonlinear parabolic problems. Formulating four conditions concerning the form of the implicit equation, we first show that these conditions describe a maximal monotone p-coercive graph. We then establish the global-in-time and large-data existence of a (weak) solution and its uniqueness. To this end, we adopt and significantly generalize Minty’s method of monotone mappings. A unified theory, containing several novel tools, is developed in a way to be tractable from the point of view of numerical approximations.","lang":"eng"}],"article_processing_charge":"No","doi":"10.1142/S0218202521500457","day":"25","project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"_id":"10005","publication_status":"published","external_id":{"isi":["000722222900004"],"arxiv":["2009.06917"]},"author":[{"full_name":"Bulíček, Miroslav","first_name":"Miroslav","last_name":"Bulíček"},{"id":"dbabca31-66eb-11eb-963a-fb9c22c880b4","last_name":"Maringová","first_name":"Erika","full_name":"Maringová, Erika"},{"last_name":"Málek","first_name":"Josef","full_name":"Málek, Josef"}],"publisher":"World Scientific Publishing","acknowledgement":"M. Bulíček and J. Málek acknowledge the support of the project No. 18-12719S financed by the Czech\r\nScience foundation (GAČR). E. Maringová acknowledges support from Charles University Research program \r\nUNCE/SCI/023, the grant SVV-2020-260583 by the Ministry of Education, Youth and Sports, Czech Republic\r\nand from the Austrian Science Fund (FWF), grants P30000, W1245, and F65. M. Bulíček and J. Málek are\r\nmembers of the Nečas Center for Mathematical Modelling.\r\n","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2009.06917"}],"month":"08","date_updated":"2025-05-14T10:50:14Z","keyword":["Nonlinear parabolic systems","implicit constitutive theory","weak solutions","existence","uniqueness"],"oa_version":"Preprint","article_type":"original","oa":1,"volume":31,"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Bulíček M, Maringová E, Málek J. 2021. On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. 31(09).","short":"M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied Sciences 31 (2021).","mla":"Bulíček, Miroslav, et al. “On Nonlinear Problems of Parabolic Type with Implicit Constitutive Equations Involving Flux.” Mathematical Models and Methods in Applied Sciences, vol. 31, no. 09, World Scientific Publishing, 2021, doi:10.1142/S0218202521500457.","ama":"Bulíček M, Maringová E, Málek J. On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. 2021;31(09). doi:10.1142/S0218202521500457","apa":"Bulíček, M., Maringová, E., & Málek, J. (2021). On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. World Scientific Publishing. https://doi.org/10.1142/S0218202521500457","ieee":"M. Bulíček, E. Maringová, and J. 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World Scientific Publishing, 2021. https://doi.org/10.1142/S0218202521500457."},"quality_controlled":"1","scopus_import":"1","date_created":"2021-09-12T22:01:25Z","title":"On nonlinear problems of parabolic type with implicit constitutive equations involving flux","publication":"Mathematical Models and Methods in Applied Sciences","language":[{"iso":"eng"}],"year":"2021","issue":"09","type":"journal_article","date_published":"2021-08-25T00:00:00Z","arxiv":1,"intvolume":" 31","publication_identifier":{"issn":["0218-2025"],"eissn":["1793-6314"]},"department":[{"_id":"JuFi"}],"isi":1},{"ec_funded":1,"ddc":["515"],"article_processing_charge":"No","abstract":[{"lang":"eng","text":"The present thesis is concerned with the derivation of weak-strong uniqueness principles for curvature driven interface evolution problems not satisfying a comparison principle. The specific examples being treated are two-phase Navier-Stokes flow with surface tension, modeling the evolution of two incompressible, viscous and immiscible fluids separated by a sharp interface, and multiphase mean curvature flow, which serves as an idealized model for the motion of grain boundaries in an annealing polycrystalline material. Our main results - obtained in joint works with Julian Fischer, Tim Laux and Theresa M. Simon - state that prior to the formation of geometric singularities due to topology changes, the weak solution concept of Abels (Interfaces Free Bound. 9, 2007) to two-phase Navier-Stokes flow with surface tension and the weak solution concept of Laux and Otto (Calc. Var. Partial Differential Equations 55, 2016) to multiphase mean curvature flow (for networks in R^2 or double bubbles in R^3) represents the unique solution to these interface evolution problems within the class of classical solutions, respectively. To the best of the author's knowledge, for interface evolution problems not admitting a geometric comparison principle the derivation of a weak-strong uniqueness principle represented an open problem, so that the works contained in the present thesis constitute the first positive results in this direction. The key ingredient of our approach consists of the introduction of a novel concept of relative entropies for a class of curvature driven interface evolution problems, for which the associated energy contains an interfacial contribution being proportional to the surface area of the evolving (network of) interface(s). The interfacial part of the relative entropy gives sufficient control on the interface error between a weak and a classical solution, and its time evolution can be computed, at least in principle, for any energy dissipating weak solution concept. A resulting stability estimate for the relative entropy essentially entails the above mentioned weak-strong uniqueness principles. The present thesis contains a detailed introduction to our relative entropy approach, which in particular highlights potential applications to other problems in curvature driven interface evolution not treated in this thesis."}],"doi":"10.15479/at:ista:10007","publication_status":"published","_id":"10007","author":[{"first_name":"Sebastian","orcid":"0000-0001-7252-8072","full_name":"Hensel, Sebastian","last_name":"Hensel","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87"}],"publisher":"Institute of Science and Technology Austria","day":"14","project":[{"grant_number":"665385","call_identifier":"H2020","name":"International IST Doctoral Program","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","grant_number":"948819","name":"Bridging Scales in Random Materials","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d"}],"oa_version":"Published Version","file_date_updated":"2021-09-15T14:37:30Z","oa":1,"date_updated":"2026-04-08T07:01:01Z","has_accepted_license":"1","month":"09","language":[{"iso":"eng"}],"file":[{"creator":"shensel","access_level":"closed","file_id":"10008","content_type":"application/x-zip-compressed","date_updated":"2021-09-15T14:37:30Z","date_created":"2021-09-13T11:03:24Z","checksum":"c8475faaf0b680b4971f638f1db16347","file_name":"thesis_final_Hensel.zip","file_size":15022154,"relation":"source_file"},{"file_size":6583638,"relation":"main_file","checksum":"1a609937aa5275452822f45f2da17f07","file_name":"thesis_final_Hensel.pdf","date_updated":"2021-09-14T09:52:47Z","date_created":"2021-09-13T14:18:56Z","content_type":"application/pdf","file_id":"10014","access_level":"open_access","creator":"shensel"}],"title":"Curvature driven interface evolution: Uniqueness properties of weak solution concepts","corr_author":"1","type":"dissertation","year":"2021","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","citation":{"short":"S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, Institute of Science and Technology Austria, 2021.","ista":"Hensel S. 2021. Curvature driven interface evolution: Uniqueness properties of weak solution concepts. Institute of Science and Technology Austria.","mla":"Hensel, Sebastian. Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10007.","ama":"Hensel S. Curvature driven interface evolution: Uniqueness properties of weak solution concepts. 2021. doi:10.15479/at:ista:10007","apa":"Hensel, S. (2021). Curvature driven interface evolution: Uniqueness properties of weak solution concepts. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10007","ieee":"S. Hensel, “Curvature driven interface evolution: Uniqueness properties of weak solution concepts,” Institute of Science and Technology Austria, 2021.","chicago":"Hensel, Sebastian. “Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10007."},"status":"public","date_created":"2021-09-13T11:12:34Z","related_material":{"record":[{"status":"public","id":"10012","relation":"part_of_dissertation"},{"status":"public","id":"10013","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","status":"public","id":"7489"}]},"degree_awarded":"PhD","OA_place":"publisher","supervisor":[{"last_name":"Fischer","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0479-558X","full_name":"Fischer, Julian L","first_name":"Julian L"}],"publication_identifier":{"issn":["2663-337X"]},"department":[{"_id":"GradSch"},{"_id":"JuFi"}],"page":"300","date_published":"2021-09-14T00:00:00Z","alternative_title":["ISTA Thesis"]},{"acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948819), and from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813.","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2108.01733"}],"month":"08","date_updated":"2026-04-08T07:01:01Z","oa_version":"Preprint","oa":1,"doi":"10.48550/arXiv.2108.01733","abstract":[{"text":"We derive a weak-strong uniqueness principle for BV solutions to multiphase mean curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit construction of a gradient-flow calibration in the sense of the recent work of Fischer et al. [arXiv:2003.05478] for any such cluster. This extends the two-dimensional construction to the three-dimensional case of surfaces meeting along triple junctions.","lang":"eng"}],"article_processing_charge":"No","project":[{"call_identifier":"H2020","grant_number":"948819","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","name":"Bridging Scales in Random Materials"}],"day":"03","author":[{"last_name":"Hensel","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-7252-8072","full_name":"Hensel, Sebastian","first_name":"Sebastian"},{"last_name":"Laux","full_name":"Laux, Tim","first_name":"Tim"}],"external_id":{"arxiv":["2108.01733"]},"publication_status":"draft","_id":"10013","ec_funded":1,"article_number":"2108.01733","date_published":"2021-08-03T00:00:00Z","arxiv":1,"department":[{"_id":"JuFi"}],"status":"public","citation":{"apa":"Hensel, S., & Laux, T. (n.d.). Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv. https://doi.org/10.48550/arXiv.2108.01733","ieee":"S. Hensel and T. Laux, “Weak-strong uniqueness for the mean curvature flow of double bubbles,” arXiv. .","chicago":"Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2108.01733.","short":"S. Hensel, T. Laux, ArXiv (n.d.).","ista":"Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv, 2108.01733.","mla":"Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” ArXiv, 2108.01733, doi:10.48550/arXiv.2108.01733.","ama":"Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv. doi:10.48550/arXiv.2108.01733"},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"relation":"later_version","status":"public","id":"13043"},{"id":"10007","status":"public","relation":"dissertation_contains"}]},"date_created":"2021-09-13T12:17:11Z","publication":"arXiv","corr_author":"1","title":"Weak-strong uniqueness for the mean curvature flow of double bubbles","language":[{"iso":"eng"}],"type":"preprint","year":"2021"},{"quality_controlled":"1","date_created":"2021-09-19T08:53:19Z","status":"public","volume":21,"citation":{"ieee":"I. Karatzas, J. Maas, and W. Schachermayer, “Trajectorial dissipation and gradient flow for the relative entropy in Markov chains,” Communications in Information and Systems, vol. 21, no. 4. International Press, pp. 481–536, 2021.","apa":"Karatzas, I., Maas, J., & Schachermayer, W. (2021). Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. International Press. https://doi.org/10.4310/CIS.2021.v21.n4.a1","chicago":"Karatzas, Ioannis, Jan Maas, and Walter Schachermayer. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems. International Press, 2021. https://doi.org/10.4310/CIS.2021.v21.n4.a1.","short":"I. Karatzas, J. Maas, W. Schachermayer, Communications in Information and Systems 21 (2021) 481–536.","ista":"Karatzas I, Maas J, Schachermayer W. 2021. Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. 21(4), 481–536.","ama":"Karatzas I, Maas J, Schachermayer W. Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. 2021;21(4):481-536. doi:10.4310/CIS.2021.v21.n4.a1","mla":"Karatzas, Ioannis, et al. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems, vol. 21, no. 4, International Press, 2021, pp. 481–536, doi:10.4310/CIS.2021.v21.n4.a1."},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","type":"journal_article","issue":"4","year":"2021","publication":"Communications in Information and Systems","title":"Trajectorial dissipation and gradient flow for the relative entropy in Markov chains","language":[{"iso":"eng"}],"intvolume":" 21","date_published":"2021-06-04T00:00:00Z","page":"481-536","arxiv":1,"publication_identifier":{"issn":["1526-7555"]},"department":[{"_id":"JaMa"}],"project":[{"call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425"},{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"day":"04","author":[{"last_name":"Karatzas","first_name":"Ioannis","full_name":"Karatzas, Ioannis"},{"last_name":"Maas","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","orcid":"0000-0002-0845-1338","full_name":"Maas, Jan"},{"last_name":"Schachermayer","full_name":"Schachermayer, Walter","first_name":"Walter"}],"_id":"10023","publisher":"International Press","external_id":{"arxiv":["2005.14177"]},"publication_status":"published","doi":"10.4310/CIS.2021.v21.n4.a1","abstract":[{"lang":"eng","text":"We study the temporal dissipation of variance and relative entropy for ergodic Markov Chains in continuous time, and compute explicitly the corresponding dissipation rates. These are identified, as is well known, in the case of the variance in terms of an appropriate Hilbertian norm; and in the case of the relative entropy, in terms of a Dirichlet form which morphs into a version of the familiar Fisher information under conditions of detailed balance. Here we obtain trajectorial versions of these results, valid along almost every path of the random motion and most transparent in the backwards direction of time. Martingale arguments and time reversal play crucial roles, as in the recent work of Karatzas, Schachermayer and Tschiderer for conservative diffusions. Extensions are developed to general “convex divergences” and to countable state-spaces. The steepest descent and gradient flow properties for the variance, the relative entropy, and appropriate generalizations, are studied along with their respective geometries under conditions of detailed balance, leading to a very direct proof for the HWI inequality of Otto and Villani in the present context."}],"article_processing_charge":"No","ec_funded":1,"month":"06","date_updated":"2025-04-14T07:27:45Z","acknowledgement":"I.K. acknowledges support from the U.S. National Science Foundation under Grant NSF-DMS-20-04997. J.M. acknowledges support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 716117) and from the Austrian Science Fund (FWF) through project F65. W.S. acknowledges support from the Austrian Science Fund (FWF) under grant P28861 and by the Vienna Science and Technology Fund (WWTF) through projects MA14-008 and MA16-021.","main_file_link":[{"url":"https://arxiv.org/abs/2005.14177","open_access":"1"}],"oa":1,"article_type":"original","oa_version":"Preprint","keyword":["Markov Chain","relative entropy","time reversal","steepest descent","gradient flow"]},{"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_created":"2021-09-19T22:01:25Z","quality_controlled":"1","scopus_import":"1","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"mla":"Floreani, Simone, et al. “Hydrodynamics for the Partial Exclusion Process in Random Environment.” Stochastic Processes and Their Applications, vol. 142, Elsevier, 2021, pp. 124–58, doi:10.1016/j.spa.2021.08.006.","ama":"Floreani S, Redig F, Sau F. Hydrodynamics for the partial exclusion process in random environment. Stochastic Processes and their Applications. 2021;142:124-158. doi:10.1016/j.spa.2021.08.006","ista":"Floreani S, Redig F, Sau F. 2021. Hydrodynamics for the partial exclusion process in random environment. Stochastic Processes and their Applications. 142, 124–158.","short":"S. Floreani, F. Redig, F. Sau, Stochastic Processes and Their Applications 142 (2021) 124–158.","chicago":"Floreani, Simone, Frank Redig, and Federico Sau. “Hydrodynamics for the Partial Exclusion Process in Random Environment.” Stochastic Processes and Their Applications. Elsevier, 2021. https://doi.org/10.1016/j.spa.2021.08.006.","apa":"Floreani, S., Redig, F., & Sau, F. (2021). Hydrodynamics for the partial exclusion process in random environment. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2021.08.006","ieee":"S. Floreani, F. Redig, and F. Sau, “Hydrodynamics for the partial exclusion process in random environment,” Stochastic Processes and their Applications, vol. 142. Elsevier, pp. 124–158, 2021."},"status":"public","volume":142,"type":"journal_article","year":"2021","file":[{"creator":"dernst","file_id":"11370","access_level":"open_access","success":1,"date_updated":"2022-05-13T07:55:50Z","date_created":"2022-05-13T07:55:50Z","content_type":"application/pdf","file_size":2115791,"relation":"main_file","checksum":"56768c553d7218ee5714902ffec90ec4","file_name":"2021_StochasticProcessesAppl_Floreani.pdf"}],"language":[{"iso":"eng"}],"publication":"Stochastic Processes and their Applications","title":"Hydrodynamics for the partial exclusion process in random environment","intvolume":" 142","arxiv":1,"page":"124-158","date_published":"2021-08-27T00:00:00Z","isi":1,"publication_identifier":{"issn":["0304-4149"]},"department":[{"_id":"JaMa"}],"_id":"10024","publisher":"Elsevier","publication_status":"published","external_id":{"isi":["000697748500005"],"arxiv":["1911.12564"]},"author":[{"last_name":"Floreani","first_name":"Simone","full_name":"Floreani, Simone"},{"full_name":"Redig, Frank","first_name":"Frank","last_name":"Redig"},{"id":"E1836206-9F16-11E9-8814-AEFDE5697425","last_name":"Sau","full_name":"Sau, Federico","first_name":"Federico"}],"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411"}],"day":"27","doi":"10.1016/j.spa.2021.08.006","article_processing_charge":"Yes","abstract":[{"text":"In this paper, we introduce a random environment for the exclusion process in obtained by assigning a maximal occupancy to each site. This maximal occupancy is allowed to randomly vary among sites, and partial exclusion occurs. Under the assumption of ergodicity under translation and uniform ellipticity of the environment, we derive a quenched hydrodynamic limit in path space by strengthening the mild solution approach initiated in Nagy (2002) and Faggionato (2007). To this purpose, we prove, employing the technology developed for the random conductance model, a homogenization result in the form of an arbitrary starting point quenched invariance principle for a single particle in the same environment, which is a result of independent interest. The self-duality property of the partial exclusion process allows us to transfer this homogenization result to the particle system and, then, apply the tightness criterion in Redig et al. (2020).","lang":"eng"}],"ddc":["519"],"ec_funded":1,"has_accepted_license":"1","date_updated":"2025-04-14T07:43:46Z","month":"08","acknowledgement":"The authors would like to thank Marek Biskup and Alberto Chiarini for useful suggestions and Cristian Giardina, Frank den Hollander and Shubhamoy Nandan for inspiring discussions. S.F. acknowledges Simona Villa for her help in creating the picture. Furthermore, the authors thank two anonymous referees for the careful reading of the manuscript. S.F. acknowledges financial support from NWO, The Netherlands via the grant TOP1.17.019. F.S. acknowledges financial support from NWO via the TOP1 grant 613.001.552 as well as funding from the European Union’s Horizon 2020 research and innovation programme under the Marie-Skłodowska-Curie grant agreement No. 754411.","article_type":"original","oa":1,"keyword":["hydrodynamic limit","random environment","random conductance model","arbitrary starting point quenched invariance principle","duality","mild solution"],"file_date_updated":"2022-05-13T07:55:50Z","oa_version":"Published Version"},{"arxiv":1,"date_published":"2021-09-01T00:00:00Z","publication_identifier":{"eissn":["1476-4687"],"issn":["0028-0836"]},"department":[{"_id":"MaSe"},{"_id":"MiLe"}],"isi":1,"citation":{"chicago":"Zhou, Haoxin, Tian Xie, Areg Ghazaryan, Tobias Holder, James R. Ehrets, Eric M. Spanton, Takashi Taniguchi, et al. “Half and Quarter Metals in Rhombohedral Trilayer Graphene.” Nature. Springer Nature, 2021. https://doi.org/10.1038/s41586-021-03938-w.","apa":"Zhou, H., Xie, T., Ghazaryan, A., Holder, T., Ehrets, J. R., Spanton, E. M., … Young, A. F. (2021). Half and quarter metals in rhombohedral trilayer graphene. Nature. Springer Nature. https://doi.org/10.1038/s41586-021-03938-w","ieee":"H. Zhou et al., “Half and quarter metals in rhombohedral trilayer graphene,” Nature. Springer Nature, 2021.","mla":"Zhou, Haoxin, et al. “Half and Quarter Metals in Rhombohedral Trilayer Graphene.” Nature, Springer Nature, 2021, doi:10.1038/s41586-021-03938-w.","ama":"Zhou H, Xie T, Ghazaryan A, et al. Half and quarter metals in rhombohedral trilayer graphene. Nature. 2021. doi:10.1038/s41586-021-03938-w","short":"H. Zhou, T. Xie, A. Ghazaryan, T. Holder, J.R. Ehrets, E.M. Spanton, T. Taniguchi, K. Watanabe, E. Berg, M. Serbyn, A.F. Young, Nature (2021).","ista":"Zhou H, Xie T, Ghazaryan A, Holder T, Ehrets JR, Spanton EM, Taniguchi T, Watanabe K, Berg E, Serbyn M, Young AF. 2021. Half and quarter metals in rhombohedral trilayer graphene. Nature."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","date_created":"2021-09-19T22:01:25Z","related_material":{"link":[{"url":"https://doi.org/10.1038/s41586-021-04181-z","relation":"erratum"}]},"scopus_import":"1","quality_controlled":"1","language":[{"iso":"eng"}],"title":"Half and quarter metals in rhombohedral trilayer graphene","publication":"Nature","year":"2021","type":"journal_article","main_file_link":[{"url":"https://arxiv.org/abs/2104.00653","open_access":"1"}],"acknowledgement":"The authors acknowledge discussions with A. Macdonald, L. Fu, F. Wang and M. Zaletel. AFY acknowledges support of the National Science Foundation under DMR1654186, and the Gordon and Betty Moore Foundation under award GBMF9471. The authors acknowledge the use of the research facilities within the California NanoSystems Institute, supported by the University of California, Santa Barbara and the University of California, Office of the President.\r\nK.W. and T.T. acknowledge support from the Elemental Strategy Initiative conducted by the MEXT, Japan, Grant Number JPMXP0112101001 and JSPS KAKENHI, Grant Number JP20H00354. EB and TH were supported by the European Research Council (ERC) under grant HQMAT (Grant Agreement No. 817799). A.G. acknowledges support by the European Unions Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement\r\nNo. 754411.\r\n","date_updated":"2025-04-14T07:43:46Z","month":"09","oa_version":"Preprint","keyword":["condensed matter - mesoscale and nanoscale physics","condensed matter - strongly correlated electrons","multidisciplinary"],"article_type":"original","oa":1,"article_processing_charge":"No","abstract":[{"lang":"eng","text":"Ferromagnetism is most common in transition metal compounds but may also arise in low-density two-dimensional electron systems, with signatures observed in silicon, III-V semiconductor systems, and graphene moiré heterostructures. Here we show that gate-tuned van Hove singularities in rhombohedral trilayer graphene drive the spontaneous ferromagnetic polarization of the electron system into one or more spin- and valley flavors. Using capacitance measurements on graphite-gated van der Waals heterostructures, we find a cascade of density- and electronic displacement field tuned phase transitions marked by negative electronic compressibility. The transitions define the boundaries between phases where quantum oscillations have either four-fold, two-fold, or one-fold degeneracy, associated with a spin and valley degenerate normal metal, spin-polarized `half-metal', and spin and valley polarized `quarter metal', respectively. For electron doping, the salient features are well captured by a phenomenological Stoner model with a valley-anisotropic Hund's coupling, likely arising from interactions at the lattice scale. For hole filling, we observe a richer phase diagram featuring a delicate interplay of broken symmetries and transitions in the Fermi surface topology. Finally, by rotational alignment of a hexagonal boron nitride substrate to induce a moiré superlattice, we find that the superlattice perturbs the preexisting isospin order only weakly, leaving the basic phase diagram intact while catalyzing the formation of topologically nontrivial gapped states whenever itinerant half- or quarter metal states occur at half- or quarter superlattice band filling. Our results show that rhombohedral trilayer graphene is an ideal platform for well-controlled tests of many-body theory and reveal magnetism in moiré materials to be fundamentally itinerant in nature."}],"doi":"10.1038/s41586-021-03938-w","_id":"10025","author":[{"last_name":"Zhou","first_name":"Haoxin","full_name":"Zhou, Haoxin"},{"full_name":"Xie, Tian","first_name":"Tian","last_name":"Xie"},{"first_name":"Areg","orcid":"0000-0001-9666-3543","full_name":"Ghazaryan, Areg","last_name":"Ghazaryan","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Holder","first_name":"Tobias","full_name":"Holder, Tobias"},{"full_name":"Ehrets, James R.","first_name":"James R.","last_name":"Ehrets"},{"first_name":"Eric M.","full_name":"Spanton, Eric M.","last_name":"Spanton"},{"first_name":"Takashi","full_name":"Taniguchi, Takashi","last_name":"Taniguchi"},{"last_name":"Watanabe","full_name":"Watanabe, Kenji","first_name":"Kenji"},{"last_name":"Berg","full_name":"Berg, Erez","first_name":"Erez"},{"full_name":"Serbyn, Maksym","orcid":"0000-0002-2399-5827","first_name":"Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn"},{"last_name":"Young","full_name":"Young, Andrea F.","first_name":"Andrea F."}],"publication_status":"published","publisher":"Springer Nature","external_id":{"isi":["000706977400002"],"arxiv":["2104.00653"]},"day":"01","project":[{"grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"ec_funded":1},{"oa":1,"oa_version":"Preprint","date_updated":"2025-04-15T06:54:43Z","month":"07","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2107.03695"}],"acknowledgement":"This research was supported by the Scientific Service Units of IST Austria through resources provided by the MIBA Machine Shop and the nanofabrication facility. JS and AG were supported by funding from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No.754411.","ec_funded":1,"publication_status":"draft","external_id":{"arxiv":["2107.03695"]},"author":[{"last_name":"Phan","id":"29C8C0B4-F248-11E8-B48F-1D18A9856A87","first_name":"Duc T","full_name":"Phan, Duc T"},{"orcid":"0000-0002-0672-9295","full_name":"Senior, Jorden L","first_name":"Jorden L","last_name":"Senior","id":"5479D234-2D30-11EA-89CC-40953DDC885E"},{"full_name":"Ghazaryan, Areg","orcid":"0000-0001-9666-3543","first_name":"Areg","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","last_name":"Ghazaryan"},{"last_name":"Hatefipour","first_name":"M.","full_name":"Hatefipour, M."},{"full_name":"Strickland, W. M.","first_name":"W. M.","last_name":"Strickland"},{"last_name":"Shabani","first_name":"J.","full_name":"Shabani, J."},{"full_name":"Serbyn, Maksym","orcid":"0000-0002-2399-5827","first_name":"Maksym","id":"47809E7E-F248-11E8-B48F-1D18A9856A87","last_name":"Serbyn"},{"id":"4AD6785A-F248-11E8-B48F-1D18A9856A87","last_name":"Higginbotham","full_name":"Higginbotham, Andrew P","orcid":"0000-0003-2607-2363","first_name":"Andrew P"}],"_id":"10029","day":"08","project":[{"call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"abstract":[{"lang":"eng","text":"Superconductor-semiconductor hybrids are platforms for realizing effective p-wave superconductivity. Spin-orbit coupling, combined with the proximity effect, causes the two-dimensional semiconductor to inherit p±ip intraband pairing, and application of magnetic field can then result in transitions to the normal state, partial Bogoliubov Fermi surfaces, or topological phases with Majorana modes. Experimentally probing the hybrid superconductor-semiconductor interface is challenging due to the shunting effect of the conventional superconductor. Consequently, the nature of induced pairing remains an open question. Here, we use the circuit quantum electrodynamics architecture to probe induced superconductivity in a two dimensional Al-InAs hybrid system. We observe a strong suppression of superfluid density and enhanced dissipation driven by magnetic field, which cannot be accounted for by the depairing theory of an s-wave superconductor. These observations are explained by a picture of independent intraband p±ip superconductors giving way to partial Bogoliubov Fermi surfaces, and allow for the first characterization of key properties of the hybrid superconducting system."}],"article_processing_charge":"No","doi":"10.48550/arXiv.2107.03695","acknowledged_ssus":[{"_id":"M-Shop"},{"_id":"NanoFab"}],"department":[{"_id":"MaSe"},{"_id":"AnHi"},{"_id":"MiLe"}],"arxiv":1,"article_number":"2107.03695","date_published":"2021-07-08T00:00:00Z","year":"2021","type":"preprint","language":[{"iso":"eng"}],"title":"Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid","publication":"arXiv","date_created":"2021-09-21T08:41:02Z","related_material":{"record":[{"status":"public","id":"9636","relation":"research_data"},{"relation":"later_version","id":"10851","status":"public"}]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ieee":"D. T. Phan et al., “Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid,” arXiv. .","apa":"Phan, D. T., Senior, J. L., Ghazaryan, A., Hatefipour, M., Strickland, W. M., Shabani, J., … Higginbotham, A. P. (n.d.). Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid. arXiv. https://doi.org/10.48550/arXiv.2107.03695","chicago":"Phan, Duc T, Jorden L Senior, Areg Ghazaryan, M. Hatefipour, W. M. Strickland, J. Shabani, Maksym Serbyn, and Andrew P Higginbotham. “Breakdown of Induced P±ip Pairing in a Superconductor-Semiconductor Hybrid.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2107.03695.","ista":"Phan DT, Senior JL, Ghazaryan A, Hatefipour M, Strickland WM, Shabani J, Serbyn M, Higginbotham AP. Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid. arXiv, 2107.03695.","short":"D.T. Phan, J.L. Senior, A. Ghazaryan, M. Hatefipour, W.M. Strickland, J. Shabani, M. Serbyn, A.P. Higginbotham, ArXiv (n.d.).","ama":"Phan DT, Senior JL, Ghazaryan A, et al. Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid. arXiv. doi:10.48550/arXiv.2107.03695","mla":"Phan, Duc T., et al. “Breakdown of Induced P±ip Pairing in a Superconductor-Semiconductor Hybrid.” ArXiv, 2107.03695, doi:10.48550/arXiv.2107.03695."},"status":"public"},{"alternative_title":["ISTA Thesis"],"date_published":"2021-09-22T00:00:00Z","OA_place":"publisher","publication_identifier":{"issn":["2663-337X"]},"department":[{"_id":"GradSch"},{"_id":"JaMa"}],"supervisor":[{"first_name":"Jan","orcid":"0000-0002-0845-1338","full_name":"Maas, Jan","last_name":"Maas","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"}],"acknowledged_ssus":[{"_id":"M-Shop"},{"_id":"NanoFab"}],"status":"public","citation":{"short":"L. Portinale, Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures, Institute of Science and Technology Austria, 2021.","ista":"Portinale L. 2021. Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. Institute of Science and Technology Austria.","mla":"Portinale, Lorenzo. Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10030.","ama":"Portinale L. Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. 2021. doi:10.15479/at:ista:10030","apa":"Portinale, L. (2021). Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10030","ieee":"L. Portinale, “Discrete-to-continuum limits of transport problems and gradient flows in the space of measures,” Institute of Science and Technology Austria, 2021.","chicago":"Portinale, Lorenzo. “Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10030."},"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"9792"},{"relation":"part_of_dissertation","id":"10022","status":"public"},{"relation":"part_of_dissertation","status":"public","id":"7573"}]},"degree_awarded":"PhD","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"date_created":"2021-09-21T09:14:15Z","corr_author":"1","title":"Discrete-to-continuum limits of transport problems and gradient flows in the space of measures","file":[{"access_level":"closed","file_id":"10032","creator":"cchlebak","relation":"source_file","file_size":3876668,"file_name":"tex_and_pictures.zip","checksum":"8cd60dcb8762e8f21867e21e8001e183","date_created":"2021-09-21T09:17:34Z","date_updated":"2022-03-10T12:14:42Z","content_type":"application/x-zip-compressed"},{"date_created":"2021-09-27T11:14:31Z","date_updated":"2021-09-27T11:14:31Z","content_type":"application/pdf","file_size":2532673,"relation":"main_file","file_name":"thesis_portinale_Final (1).pdf","checksum":"9789e9d967c853c1503ec7f307170279","creator":"cchlebak","file_id":"10047","access_level":"open_access"}],"language":[{"iso":"eng"}],"year":"2021","type":"dissertation","acknowledgement":"The author gratefully acknowledges support by the Austrian Science Fund (FWF), grants No W1245.","month":"09","has_accepted_license":"1","date_updated":"2026-04-08T07:00:04Z","file_date_updated":"2022-03-10T12:14:42Z","oa_version":"Published Version","oa":1,"doi":"10.15479/at:ista:10030","abstract":[{"text":"This PhD thesis is primarily focused on the study of discrete transport problems, introduced for the first time in the seminal works of Maas [Maa11] and Mielke [Mie11] on finite state Markov chains and reaction-diffusion equations, respectively. More in detail, my research focuses on the study of transport costs on graphs, in particular the convergence and the stability of such problems in the discrete-to-continuum limit. This thesis also includes some results concerning\r\nnon-commutative optimal transport. The first chapter of this thesis consists of a general introduction to the optimal transport problems, both in the discrete, the continuous, and the non-commutative setting. Chapters 2 and 3 present the content of two works, obtained in collaboration with Peter Gladbach, Eva Kopfer, and Jan Maas, where we have been able to show the convergence of discrete transport costs on periodic graphs to suitable continuous ones, which can be described by means of a homogenisation result. We first focus on the particular case of quadratic costs on the real line and then extending the result to more general costs in arbitrary dimension. Our results are the first complete characterisation of limits of transport costs on periodic graphs in arbitrary dimension which do not rely on any additional symmetry. In Chapter 4 we turn our attention to one of the intriguing connection between evolution equations and optimal transport, represented by the theory of gradient flows. We show that discrete gradient flow structures associated to a finite volume approximation of a certain class of diffusive equations (Fokker–Planck) is stable in the limit of vanishing meshes, reproving the convergence of the scheme via the method of evolutionary Γ-convergence and exploiting a more variational point of view on the problem. This is based on a collaboration with Dominik Forkert and Jan Maas. Chapter 5 represents a change of perspective, moving away from the discrete world and reaching the non-commutative one. As in the discrete case, we discuss how classical tools coming from the commutative optimal transport can be translated into the setting of density matrices. In particular, in this final chapter we present a non-commutative version of the Schrödinger problem (or entropic regularised optimal transport problem) and discuss existence and characterisation of minimisers, a duality result, and present a non-commutative version of the well-known Sinkhorn algorithm to compute the above mentioned optimisers. This is based on a joint work with Dario Feliciangeli and Augusto Gerolin. Finally, Appendix A and B contain some additional material and discussions, with particular attention to Harnack inequalities and the regularity of flows on discrete spaces.","lang":"eng"}],"article_processing_charge":"No","project":[{"name":"Dissipation and dispersion in nonlinear partial differential equations","_id":"260788DE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","grant_number":"W1245"},{"grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"day":"22","publication_status":"published","_id":"10030","publisher":"Institute of Science and Technology Austria","author":[{"id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","last_name":"Portinale","first_name":"Lorenzo","full_name":"Portinale, Lorenzo"}],"ddc":["515"]},{"year":"2021","type":"journal_article","file":[{"creator":"qho","file_id":"10034","access_level":"open_access","date_updated":"2021-09-21T15:58:52Z","date_created":"2021-09-21T15:58:52Z","content_type":"application/pdf","file_size":840635,"relation":"main_file","checksum":"f3c0086d41af11db31c00014efb38072","file_name":"1-s2.0-S000187082100431X-main.pdf"}],"language":[{"iso":"eng"}],"publication":"Advances in Mathematics","corr_author":"1","title":"The Atiyah-Bott formula and connectivity in chiral Koszul duality","date_created":"2021-09-21T15:58:59Z","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"scopus_import":"1","quality_controlled":"1","citation":{"mla":"Ho, Quoc P. “The Atiyah-Bott Formula and Connectivity in Chiral Koszul Duality.” Advances in Mathematics, vol. 392, 107992, Elsevier, 2021, doi:10.1016/j.aim.2021.107992.","ama":"Ho QP. The Atiyah-Bott formula and connectivity in chiral Koszul duality. Advances in Mathematics. 2021;392. doi:10.1016/j.aim.2021.107992","ista":"Ho QP. 2021. The Atiyah-Bott formula and connectivity in chiral Koszul duality. Advances in Mathematics. 392, 107992.","short":"Q.P. Ho, Advances in Mathematics 392 (2021).","chicago":"Ho, Quoc P. “The Atiyah-Bott Formula and Connectivity in Chiral Koszul Duality.” Advances in Mathematics. Elsevier, 2021. https://doi.org/10.1016/j.aim.2021.107992.","apa":"Ho, Q. P. (2021). The Atiyah-Bott formula and connectivity in chiral Koszul duality. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2021.107992","ieee":"Q. P. Ho, “The Atiyah-Bott formula and connectivity in chiral Koszul duality,” Advances in Mathematics, vol. 392. Elsevier, 2021."},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","volume":392,"isi":1,"department":[{"_id":"TaHa"}],"publication_identifier":{"issn":["0001-8708"],"eissn":["1090-2082"]},"intvolume":" 392","arxiv":1,"date_published":"2021-09-21T00:00:00Z","article_number":"107992","ddc":["514"],"_id":"10033","publication_status":"published","author":[{"first_name":"Quoc P","full_name":"Ho, Quoc P","orcid":"0000-0001-6889-1418","id":"3DD82E3C-F248-11E8-B48F-1D18A9856A87","last_name":"Ho"}],"publisher":"Elsevier","external_id":{"arxiv":["1610.00212"],"isi":["000707040300031"]},"project":[{"call_identifier":"FWF","grant_number":"M02751","name":"Algebro-Geometric Applications of Factorization Homology","_id":"26B96266-B435-11E9-9278-68D0E5697425"}],"day":"21","doi":"10.1016/j.aim.2021.107992","article_processing_charge":"Yes (via OA deal)","abstract":[{"text":"The ⊗*-monoidal structure on the category of sheaves on the Ran space is not pro-nilpotent in the sense of [3]. However, under some connectivity assumptions, we prove that Koszul duality induces an equivalence of categories and that this equivalence behaves nicely with respect to Verdier duality on the Ran space and integrating along the Ran space, i.e. taking factorization homology. Based on ideas sketched in [4], we show that these results also offer a simpler alternative to one of the two main steps in the proof of the Atiyah-Bott formula given in [7] and [5].","lang":"eng"}],"article_type":"original","oa":1,"keyword":["Chiral algebras","Chiral homology","Factorization algebras","Koszul duality","Ran space"],"oa_version":"Published Version","file_date_updated":"2021-09-21T15:58:52Z","has_accepted_license":"1","date_updated":"2025-04-14T09:09:35Z","month":"09","acknowledgement":"The author would like to express his gratitude to D. Gaitsgory, without whose tireless guidance and encouragement in pursuing this problem, this work would not have been possible. The author is grateful to his advisor B.C. Ngô for many years of patient guidance and support. This paper is revised while the author is a postdoc in Hausel group at IST Austria. We thank him and the group for providing a wonderful research environment. The author also gratefully acknowledges the support of the Lise Meitner fellowship “Algebro-Geometric Applications of Factorization Homology,” Austrian Science Fund (FWF): M 2751."}]