[{"type":"journal_article","date_published":"2020-12-01T00:00:00Z","language":[{"iso":"eng"}],"publication":"Journal of Statistical Physics","scopus_import":"1","doi":"10.1007/s10955-020-02663-4","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"pmid":1,"arxiv":1,"title":"Modeling of chemical reaction systems with detailed balance using gradient structures","intvolume":"       181","year":"2020","issue":"6","acknowledgement":"The research of A.M. was partially supported by the Deutsche Forschungsgemeinschaft (DFG) via the Collaborative Research Center SFB 1114 Scaling Cascades in Complex Systems (Project No. 235221301), through the Subproject C05 Effective models for materials and interfaces with multiple scales. J.M. gratefully acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 716117), and by the Austrian Science Fund (FWF), Project SFB F65. The authors thank Christof Schütte, Robert I. A. Patterson, and Stefanie Winkelmann for helpful and stimulating discussions. Open access funding provided by Austrian Science Fund (FWF).","department":[{"_id":"JaMa"}],"isi":1,"volume":181,"abstract":[{"lang":"eng","text":"We consider various modeling levels for spatially homogeneous chemical reaction systems, namely the chemical master equation, the chemical Langevin dynamics, and the reaction-rate equation. Throughout we restrict our study to the case where the microscopic system satisfies the detailed-balance condition. The latter allows us to enrich the systems with a gradient structure, i.e. the evolution is given by a gradient-flow equation. We present the arising links between the associated gradient structures that are driven by the relative entropy of the detailed-balance steady state. The limit of large volumes is studied in the sense of evolutionary Γ-convergence of gradient flows. Moreover, we use the gradient structures to derive hybrid models for coupling different modeling levels."}],"month":"12","article_processing_charge":"No","status":"public","citation":{"ama":"Maas J, Mielke A. Modeling of chemical reaction systems with detailed balance using gradient structures. <i>Journal of Statistical Physics</i>. 2020;181(6):2257-2303. doi:<a href=\"https://doi.org/10.1007/s10955-020-02663-4\">10.1007/s10955-020-02663-4</a>","short":"J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.","mla":"Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” <i>Journal of Statistical Physics</i>, vol. 181, no. 6, Springer Nature, 2020, pp. 2257–303, doi:<a href=\"https://doi.org/10.1007/s10955-020-02663-4\">10.1007/s10955-020-02663-4</a>.","apa":"Maas, J., &#38; Mielke, A. (2020). Modeling of chemical reaction systems with detailed balance using gradient structures. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-020-02663-4\">https://doi.org/10.1007/s10955-020-02663-4</a>","chicago":"Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-020-02663-4\">https://doi.org/10.1007/s10955-020-02663-4</a>.","ieee":"J. Maas and A. Mielke, “Modeling of chemical reaction systems with detailed balance using gradient structures,” <i>Journal of Statistical Physics</i>, vol. 181, no. 6. Springer Nature, pp. 2257–2303, 2020.","ista":"Maas J, Mielke A. 2020. Modeling of chemical reaction systems with detailed balance using gradient structures. Journal of Statistical Physics. 181(6), 2257–2303."},"file":[{"content_type":"application/pdf","file_size":753596,"date_updated":"2021-02-04T10:29:11Z","file_name":"2020_JourStatPhysics_Maas.pdf","success":1,"checksum":"bc2b63a90197b97cbc73eccada4639f5","date_created":"2021-02-04T10:29:11Z","creator":"dernst","relation":"main_file","file_id":"9087","access_level":"open_access"}],"oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ec_funded":1,"article_type":"original","date_created":"2020-11-15T23:01:18Z","page":"2257-2303","date_updated":"2025-06-12T07:01:39Z","project":[{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"},{"call_identifier":"FWF","grant_number":"F06504","_id":"260482E2-B435-11E9-9278-68D0E5697425","name":"Taming Complexity in Partial Differential Systems"}],"day":"01","external_id":{"arxiv":["2004.02831"],"pmid":["33268907"],"isi":["000587107200002"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","corr_author":"1","quality_controlled":"1","publication_status":"published","publisher":"Springer Nature","ddc":["510"],"has_accepted_license":"1","author":[{"full_name":"Maas, Jan","orcid":"0000-0002-0845-1338","last_name":"Maas","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan"},{"first_name":"Alexander","last_name":"Mielke","full_name":"Mielke, Alexander"}],"_id":"8758","oa":1,"file_date_updated":"2021-02-04T10:29:11Z"},{"status":"public","department":[{"_id":"JaMa"}],"volume":25,"isi":1,"abstract":[{"text":"We consider the symmetric simple exclusion process in Zd with quenched bounded dynamic random conductances and prove its hydrodynamic limit in path space. The main tool is the connection, due to the self-duality of the process, between the invariance principle for single particles starting from all points and the macroscopic behavior of the density field. While the hydrodynamic limit at fixed macroscopic times is obtained via a generalization to the time-inhomogeneous context of the strategy introduced in [41], in order to prove tightness for the sequence of empirical density fields we develop a new criterion based on the notion of uniform conditional stochastic continuity, following [50]. In conclusion, we show that uniform elliptic dynamic conductances provide an example of environments in which the so-called arbitrary starting point invariance principle may be derived from the invariance principle of a single particle starting from the origin. Therefore, our hydrodynamics result applies to the examples of quenched environments considered in, e.g., [1], [3], [6] in combination with the hypothesis of uniform ellipticity.","lang":"eng"}],"month":"10","article_processing_charge":"No","date_created":"2020-12-27T23:01:17Z","article_type":"original","ec_funded":1,"citation":{"chicago":"Redig, Frank, Ellen Saada, and Federico Sau. “Symmetric Simple Exclusion Process in Dynamic Environment: Hydrodynamics.” <i>Electronic Journal of Probability</i>.  Institute of Mathematical Statistics, 2020. <a href=\"https://doi.org/10.1214/20-EJP536\">https://doi.org/10.1214/20-EJP536</a>.","mla":"Redig, Frank, et al. “Symmetric Simple Exclusion Process in Dynamic Environment: Hydrodynamics.” <i>Electronic Journal of Probability</i>, vol. 25, 138,  Institute of Mathematical Statistics, 2020, doi:<a href=\"https://doi.org/10.1214/20-EJP536\">10.1214/20-EJP536</a>.","apa":"Redig, F., Saada, E., &#38; Sau, F. (2020). Symmetric simple exclusion process in dynamic environment: Hydrodynamics. <i>Electronic Journal of Probability</i>.  Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/20-EJP536\">https://doi.org/10.1214/20-EJP536</a>","ieee":"F. Redig, E. Saada, and F. Sau, “Symmetric simple exclusion process in dynamic environment: Hydrodynamics,” <i>Electronic Journal of Probability</i>, vol. 25.  Institute of Mathematical Statistics, 2020.","ista":"Redig F, Saada E, Sau F. 2020. Symmetric simple exclusion process in dynamic environment: Hydrodynamics. Electronic Journal of Probability. 25, 138.","short":"F. Redig, E. Saada, F. Sau, Electronic Journal of Probability 25 (2020).","ama":"Redig F, Saada E, Sau F. Symmetric simple exclusion process in dynamic environment: Hydrodynamics. <i>Electronic Journal of Probability</i>. 2020;25. doi:<a href=\"https://doi.org/10.1214/20-EJP536\">10.1214/20-EJP536</a>"},"file":[{"access_level":"open_access","date_created":"2020-12-28T08:24:08Z","creator":"dernst","relation":"main_file","file_id":"8976","success":1,"checksum":"d75359b9814e78d57c0a481b7cde3751","content_type":"application/pdf","file_name":"2020_ElectronJProbab_Redig.pdf","file_size":696653,"date_updated":"2020-12-28T08:24:08Z"}],"oa_version":"Published Version","doi":"10.1214/20-EJP536","type":"journal_article","date_published":"2020-10-21T00:00:00Z","language":[{"iso":"eng"}],"publication":"Electronic Journal of Probability","scopus_import":"1","intvolume":"        25","year":"2020","acknowledgement":"We warmly thank S.R.S. Varadhan for many enlightening discussions at an early stage of this work. We are indebted to Francesca Collet for fruitful discussions and constant support all throughout this work. We thank Simone Floreani\r\nand Alberto Chiarini for helpful conversations on the final part of this paper as well as both referees for their careful reading and for raising relevant issues on some weak points contained in a previous version of this manuscript; we believe this helped us to improve it.\r\nPart of this work was done during the authors’ stay at the Institut Henri Poincaré (UMS 5208 CNRS-Sorbonne Université) – Centre Emile Borel during the trimester Stochastic Dynamics Out of Equilibrium. The authors thank this institution for hospitality and support (through LabEx CARMIN, ANR-10-LABX-59-01). F.S. thanks laboratoire\r\nMAP5 of Université de Paris, and E.S. thanks Delft University, for financial support and hospitality. F.S. acknowledges NWO for financial support 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. This research has been conducted within the FP2M federation (CNRS FR 2036).","arxiv":1,"article_number":"138","publication_identifier":{"eissn":["1083-6489"]},"title":"Symmetric simple exclusion process in dynamic environment: Hydrodynamics","publication_status":"published","quality_controlled":"1","oa":1,"file_date_updated":"2020-12-28T08:24:08Z","publisher":" Institute of Mathematical Statistics","has_accepted_license":"1","ddc":["510"],"_id":"8973","author":[{"first_name":"Frank","full_name":"Redig, Frank","last_name":"Redig"},{"first_name":"Ellen","last_name":"Saada","full_name":"Saada, Ellen"},{"full_name":"Sau, Federico","last_name":"Sau","id":"E1836206-9F16-11E9-8814-AEFDE5697425","first_name":"Federico"}],"date_updated":"2025-04-14T07:43:50Z","day":"21","external_id":{"isi":["000591737500001"],"arxiv":["1811.01366"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}]},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"isi":["000546975100017"],"arxiv":["1809.01092"]},"day":"01","date_updated":"2025-07-10T11:54:14Z","page":"2759-2802","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1809.01092"}],"oa":1,"_id":"71","author":[{"first_name":"Peter","full_name":"Gladbach, Peter","last_name":"Gladbach"},{"last_name":"Kopfer","full_name":"Kopfer, Eva","first_name":"Eva"},{"last_name":"Maas","orcid":"0000-0002-0845-1338","full_name":"Maas, Jan","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"}],"publisher":"Society for Industrial and Applied Mathematics","publication_status":"published","quality_controlled":"1","issue":"3","year":"2020","intvolume":"        52","title":"Scaling limits of discrete optimal transport","arxiv":1,"publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"doi":"10.1137/19M1243440","scopus_import":"1","publication":"SIAM Journal on Mathematical Analysis","date_published":"2020-10-01T00:00:00Z","language":[{"iso":"eng"}],"type":"journal_article","article_type":"original","date_created":"2018-12-11T11:44:28Z","oa_version":"Preprint","citation":{"chicago":"Gladbach, Peter, Eva Kopfer, and Jan Maas. “Scaling Limits of Discrete Optimal Transport.” <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics, 2020. <a href=\"https://doi.org/10.1137/19M1243440\">https://doi.org/10.1137/19M1243440</a>.","apa":"Gladbach, P., Kopfer, E., &#38; Maas, J. (2020). Scaling limits of discrete optimal transport. <i>SIAM Journal on Mathematical Analysis</i>. Society for Industrial and Applied Mathematics. <a href=\"https://doi.org/10.1137/19M1243440\">https://doi.org/10.1137/19M1243440</a>","mla":"Gladbach, Peter, et al. “Scaling Limits of Discrete Optimal Transport.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 3, Society for Industrial and Applied Mathematics, 2020, pp. 2759–802, doi:<a href=\"https://doi.org/10.1137/19M1243440\">10.1137/19M1243440</a>.","ieee":"P. Gladbach, E. Kopfer, and J. Maas, “Scaling limits of discrete optimal transport,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 52, no. 3. Society for Industrial and Applied Mathematics, pp. 2759–2802, 2020.","ista":"Gladbach P, Kopfer E, Maas J. 2020. Scaling limits of discrete optimal transport. SIAM Journal on Mathematical Analysis. 52(3), 2759–2802.","short":"P. Gladbach, E. Kopfer, J. Maas, SIAM Journal on Mathematical Analysis 52 (2020) 2759–2802.","ama":"Gladbach P, Kopfer E, Maas J. Scaling limits of discrete optimal transport. <i>SIAM Journal on Mathematical Analysis</i>. 2020;52(3):2759-2802. doi:<a href=\"https://doi.org/10.1137/19M1243440\">10.1137/19M1243440</a>"},"publist_id":"7983","status":"public","article_processing_charge":"No","abstract":[{"text":"We consider dynamical transport metrics for probability measures on discretisations of a bounded convex domain in ℝd. These metrics are natural discrete counterparts to the Kantorovich metric 𝕎2, defined using a Benamou-Brenier type formula. Under mild assumptions we prove an asymptotic upper bound for the discrete transport metric Wt in terms of 𝕎2, as the size of the mesh T tends to 0. However, we show that the corresponding lower bound may fail in general, even on certain one-dimensional and symmetric two-dimensional meshes. In addition, we show that the asymptotic lower bound holds under an isotropy assumption on the mesh, which turns out to be essentially necessary. This assumption is satisfied, e.g., for tilings by convex regular polygons, and it implies Gromov-Hausdorff convergence of the transport metric.","lang":"eng"}],"month":"10","volume":52,"isi":1,"department":[{"_id":"JaMa"}]},{"article_type":"original","date_created":"2020-01-29T09:39:41Z","citation":{"short":"M. Gerencser, Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire 37 (2020) 663–682.","ama":"Gerencser M. Nondivergence form quasilinear heat equations driven by space-time white noise. <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>. 2020;37(3):663-682. doi:<a href=\"https://doi.org/10.1016/j.anihpc.2020.01.003\">10.1016/j.anihpc.2020.01.003</a>","chicago":"Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>. Elsevier, 2020. <a href=\"https://doi.org/10.1016/j.anihpc.2020.01.003\">https://doi.org/10.1016/j.anihpc.2020.01.003</a>.","mla":"Gerencser, Mate. “Nondivergence Form Quasilinear Heat Equations Driven by Space-Time White Noise.” <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>, vol. 37, no. 3, Elsevier, 2020, pp. 663–82, doi:<a href=\"https://doi.org/10.1016/j.anihpc.2020.01.003\">10.1016/j.anihpc.2020.01.003</a>.","apa":"Gerencser, M. (2020). Nondivergence form quasilinear heat equations driven by space-time white noise. <i>Annales de l’Institut Henri Poincaré C, Analyse Non Linéaire</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.anihpc.2020.01.003\">https://doi.org/10.1016/j.anihpc.2020.01.003</a>","ista":"Gerencser M. 2020. Nondivergence form quasilinear heat equations driven by space-time white noise. Annales de l’Institut Henri Poincaré C, Analyse non linéaire. 37(3), 663–682.","ieee":"M. Gerencser, “Nondivergence form quasilinear heat equations driven by space-time white noise,” <i>Annales de l’Institut Henri Poincaré C, Analyse non linéaire</i>, vol. 37, no. 3. Elsevier, pp. 663–682, 2020."},"oa_version":"Preprint","status":"public","department":[{"_id":"JaMa"}],"volume":37,"isi":1,"abstract":[{"text":"We give a Wong-Zakai type characterisation of the solutions of quasilinear heat equations driven by space-time white noise in 1 + 1 dimensions. In order to show that the renormalisation counterterms are local in the solution, a careful arrangement of a few hundred terms is required. The main tool in this computation is a general ‘integration by parts’ formula that provides a number of linear identities for the renormalisation constants.","lang":"eng"}],"month":"05","article_processing_charge":"No","intvolume":"        37","year":"2020","issue":"3","arxiv":1,"publication_identifier":{"issn":["0294-1449"]},"title":"Nondivergence form quasilinear heat equations driven by space-time white noise","doi":"10.1016/j.anihpc.2020.01.003","type":"journal_article","date_published":"2020-05-01T00:00:00Z","publication":"Annales de l'Institut Henri Poincaré C, Analyse non linéaire","language":[{"iso":"eng"}],"scopus_import":"1","oa":1,"publisher":"Elsevier","_id":"7388","author":[{"first_name":"Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","last_name":"Gerencser","full_name":"Gerencser, Mate"}],"publication_status":"published","quality_controlled":"1","external_id":{"isi":["000531049800007"],"arxiv":["1902.07635"]},"day":"01","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","page":"663-682","date_updated":"2023-08-17T14:35:46Z","main_file_link":[{"url":"https://arxiv.org/abs/1902.07635","open_access":"1"}]},{"intvolume":"      2256","year":"2020","arxiv":1,"publication_identifier":{"isbn":["9783030360191"],"eisbn":["9783030360207"],"eissn":["1617-9692"],"issn":["0075-8434"]},"title":"Gromov's waist of non-radial Gaussian measures and radial non-Gaussian measures","editor":[{"full_name":"Klartag, Bo'az","last_name":"Klartag","first_name":"Bo'az"},{"full_name":"Milman, Emanuel","last_name":"Milman","first_name":"Emanuel"}],"doi":"10.1007/978-3-030-36020-7_1","type":"book_chapter","language":[{"iso":"eng"}],"publication":"Geometric Aspects of Functional Analysis","date_published":"2020-06-21T00:00:00Z","scopus_import":"1","ec_funded":1,"date_created":"2018-12-11T11:44:29Z","citation":{"short":"A. Akopyan, R. Karasev, in:, B. Klartag, E. Milman (Eds.), Geometric Aspects of Functional Analysis, Springer Nature, 2020, pp. 1–27.","ama":"Akopyan A, Karasev R. Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In: Klartag B, Milman E, eds. <i>Geometric Aspects of Functional Analysis</i>. Vol 2256. LNM. Springer Nature; 2020:1-27. doi:<a href=\"https://doi.org/10.1007/978-3-030-36020-7_1\">10.1007/978-3-030-36020-7_1</a>","chicago":"Akopyan, Arseniy, and Roman Karasev. “Gromov’s Waist of Non-Radial Gaussian Measures and Radial Non-Gaussian Measures.” In <i>Geometric Aspects of Functional Analysis</i>, edited by Bo’az Klartag and Emanuel Milman, 2256:1–27. LNM. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/978-3-030-36020-7_1\">https://doi.org/10.1007/978-3-030-36020-7_1</a>.","mla":"Akopyan, Arseniy, and Roman Karasev. “Gromov’s Waist of Non-Radial Gaussian Measures and Radial Non-Gaussian Measures.” <i>Geometric Aspects of Functional Analysis</i>, edited by Bo’az Klartag and Emanuel Milman, vol. 2256, Springer Nature, 2020, pp. 1–27, doi:<a href=\"https://doi.org/10.1007/978-3-030-36020-7_1\">10.1007/978-3-030-36020-7_1</a>.","apa":"Akopyan, A., &#38; Karasev, R. (2020). Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In B. Klartag &#38; E. Milman (Eds.), <i>Geometric Aspects of Functional Analysis</i> (Vol. 2256, pp. 1–27). Springer Nature. <a href=\"https://doi.org/10.1007/978-3-030-36020-7_1\">https://doi.org/10.1007/978-3-030-36020-7_1</a>","ista":"Akopyan A, Karasev R. 2020.Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In: Geometric Aspects of Functional Analysis. vol. 2256, 1–27.","ieee":"A. Akopyan and R. Karasev, “Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures,” in <i>Geometric Aspects of Functional Analysis</i>, vol. 2256, B. Klartag and E. Milman, Eds. Springer Nature, 2020, pp. 1–27."},"oa_version":"Preprint","status":"public","department":[{"_id":"HeEd"},{"_id":"JaMa"}],"month":"06","isi":1,"abstract":[{"lang":"eng","text":"We study the Gromov waist in the sense of t-neighborhoods for measures in the Euclidean  space,  motivated  by  the  famous  theorem  of  Gromov  about  the  waist  of  radially symmetric Gaussian measures.  In particular, it turns our possible to extend Gromov’s original result  to  the  case  of  not  necessarily  radially  symmetric  Gaussian  measure.   We  also  provide examples of measures having no t-neighborhood waist property, including a rather wide class\r\nof compactly supported radially symmetric measures and their maps into the Euclidean space of dimension at least 2.\r\nWe  use  a  simpler  form  of  Gromov’s  pancake  argument  to  produce  some  estimates  of t-neighborhoods of (weighted) volume-critical submanifolds in the spirit of the waist theorems, including neighborhoods of algebraic manifolds in the complex projective space. In the appendix of this paper we provide for reader’s convenience a more detailed explanation of the Caffarelli theorem that we use to handle not necessarily radially symmetric Gaussian\r\nmeasures."}],"volume":2256,"series_title":"LNM","article_processing_charge":"No","external_id":{"arxiv":["1808.07350"],"isi":["000557689300003"]},"day":"21","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020"}],"page":"1-27","date_updated":"2025-07-10T11:54:33Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1808.07350"}],"oa":1,"publisher":"Springer Nature","_id":"74","author":[{"id":"430D2C90-F248-11E8-B48F-1D18A9856A87","first_name":"Arseniy","full_name":"Akopyan, Arseniy","last_name":"Akopyan","orcid":"0000-0002-2548-617X"},{"last_name":"Karasev","full_name":"Karasev, Roman","first_name":"Roman"}],"publication_status":"published","quality_controlled":"1"},{"intvolume":"       365","year":"2020","acknowledgement":"The author would like to thank Quanhua Xu, Adam Skalski, Ke Li and Zhi Yin for their valuable comments. He also would like to thank the anonymous referees for pointing out some errors in an earlier version of this paper and for helpful comments and suggestions that make this paper better. The research was partially supported by the NCN (National Centre of Science) grant 2014/14/E/ST1/00525, the French project ISITE-BFC (contract ANR-15-IDEX-03), NSFC No. 11826012, and the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754411.","article_number":"107053","arxiv":1,"title":"From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture","doi":"10.1016/j.aim.2020.107053","type":"journal_article","publication":"Advances in Mathematics","date_published":"2020-05-13T00:00:00Z","language":[{"iso":"eng"}],"date_created":"2020-02-23T21:43:50Z","ec_funded":1,"article_type":"original","citation":{"short":"H. Zhang, Advances in Mathematics 365 (2020).","ama":"Zhang H. From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture. <i>Advances in Mathematics</i>. 2020;365. doi:<a href=\"https://doi.org/10.1016/j.aim.2020.107053\">10.1016/j.aim.2020.107053</a>","chicago":"Zhang, Haonan. “From Wigner-Yanase-Dyson Conjecture to Carlen-Frank-Lieb Conjecture.” <i>Advances in Mathematics</i>. Elsevier, 2020. <a href=\"https://doi.org/10.1016/j.aim.2020.107053\">https://doi.org/10.1016/j.aim.2020.107053</a>.","apa":"Zhang, H. (2020). From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture. <i>Advances in Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.aim.2020.107053\">https://doi.org/10.1016/j.aim.2020.107053</a>","mla":"Zhang, Haonan. “From Wigner-Yanase-Dyson Conjecture to Carlen-Frank-Lieb Conjecture.” <i>Advances in Mathematics</i>, vol. 365, 107053, Elsevier, 2020, doi:<a href=\"https://doi.org/10.1016/j.aim.2020.107053\">10.1016/j.aim.2020.107053</a>.","ieee":"H. Zhang, “From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture,” <i>Advances in Mathematics</i>, vol. 365. Elsevier, 2020.","ista":"Zhang H. 2020. From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture. Advances in Mathematics. 365, 107053."},"oa_version":"Preprint","status":"public","department":[{"_id":"JaMa"}],"abstract":[{"lang":"eng","text":"In this paper we study the joint convexity/concavity of the trace functions Ψp,q,s(A,B)=Tr(Bq2K∗ApKBq2)s,  p,q,s∈R,\r\nwhere A and B are positive definite matrices and K is any fixed invertible matrix. We will give full range of (p,q,s)∈R3 for Ψp,q,s to be jointly convex/concave for all K. As a consequence, we confirm a conjecture of Carlen, Frank and Lieb. In particular, we confirm a weaker conjecture of Audenaert and Datta and obtain the full range of (α,z) for α-z Rényi relative entropies to be monotone under completely positive trace preserving maps. We also give simpler proofs of many known results, including the concavity of Ψp,0,1/p for 0<p<1 which was first proved by Epstein using complex analysis. The key is to reduce the problem to the joint convexity/concavity of the trace functions Ψp,1−p,1(A,B)=TrK∗ApKB1−p,  −1≤p≤1, using a variational method. "}],"month":"05","volume":365,"isi":1,"article_processing_charge":"No","day":"13","external_id":{"isi":["000522798000001"],"arxiv":["1811.01205"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"date_updated":"2025-04-14T07:44:03Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1811.01205"}],"oa":1,"publisher":"Elsevier","ddc":["515"],"_id":"7509","author":[{"last_name":"Zhang","full_name":"Zhang, Haonan","first_name":"Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425"}],"publication_status":"published","quality_controlled":"1"},{"article_type":"original","date_created":"2022-03-18T12:33:34Z","oa_version":"Preprint","citation":{"ama":"Flandoli F, Priola E, Zanco GA. A mean-field model with discontinuous coefficients for neurons with spatial interaction. <i>Discrete and Continuous Dynamical Systems</i>. 2019;39(6):3037-3067. doi:<a href=\"https://doi.org/10.3934/dcds.2019126\">10.3934/dcds.2019126</a>","short":"F. Flandoli, E. Priola, G.A. Zanco, Discrete and Continuous Dynamical Systems 39 (2019) 3037–3067.","mla":"Flandoli, Franco, et al. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 39, no. 6, American Institute of Mathematical Sciences, 2019, pp. 3037–67, doi:<a href=\"https://doi.org/10.3934/dcds.2019126\">10.3934/dcds.2019126</a>.","apa":"Flandoli, F., Priola, E., &#38; Zanco, G. A. (2019). A mean-field model with discontinuous coefficients for neurons with spatial interaction. <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences. <a href=\"https://doi.org/10.3934/dcds.2019126\">https://doi.org/10.3934/dcds.2019126</a>","chicago":"Flandoli, Franco, Enrico Priola, and Giovanni A Zanco. “A Mean-Field Model with Discontinuous Coefficients for Neurons with Spatial Interaction.” <i>Discrete and Continuous Dynamical Systems</i>. American Institute of Mathematical Sciences, 2019. <a href=\"https://doi.org/10.3934/dcds.2019126\">https://doi.org/10.3934/dcds.2019126</a>.","ieee":"F. Flandoli, E. Priola, and G. A. Zanco, “A mean-field model with discontinuous coefficients for neurons with spatial interaction,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 39, no. 6. American Institute of Mathematical Sciences, pp. 3037–3067, 2019.","ista":"Flandoli F, Priola E, Zanco GA. 2019. A mean-field model with discontinuous coefficients for neurons with spatial interaction. Discrete and Continuous Dynamical Systems. 39(6), 3037–3067."},"status":"public","article_processing_charge":"No","month":"06","volume":39,"abstract":[{"lang":"eng","text":"Starting from a microscopic model for a system of neurons evolving in time which individually follow a stochastic integrate-and-fire type model, we study a mean-field limit of the system. Our model is described by a system of SDEs with discontinuous coefficients for the action potential of each neuron and takes into account the (random) spatial configuration of neurons allowing the interaction to depend on it. In the limit as the number of particles tends to infinity, we obtain a nonlinear Fokker-Planck type PDE in two variables, with derivatives only with respect to one variable and discontinuous coefficients. We also study strong well-posedness of the system of SDEs and prove the existence and uniqueness of a weak measure-valued solution to the PDE, obtained as the limit of the laws of the empirical measures for the system of particles."}],"isi":1,"department":[{"_id":"JaMa"}],"issue":"6","acknowledgement":"The second author has been partially supported by INdAM through the GNAMPA Research\r\nProject (2017) “Sistemi stocastici singolari: buona posizione e problemi di controllo”. The third\r\nauthor was partly funded by the Austrian Science Fund (FWF) project F 65.","year":"2019","intvolume":"        39","title":"A mean-field model with discontinuous coefficients for neurons with spatial interaction","arxiv":1,"publication_identifier":{"issn":["1553-5231"]},"doi":"10.3934/dcds.2019126","scopus_import":"1","language":[{"iso":"eng"}],"date_published":"2019-06-01T00:00:00Z","publication":"Discrete and Continuous Dynamical Systems","type":"journal_article","oa":1,"author":[{"first_name":"Franco","last_name":"Flandoli","full_name":"Flandoli, Franco"},{"last_name":"Priola","full_name":"Priola, Enrico","first_name":"Enrico"},{"first_name":"Giovanni A","id":"47491882-F248-11E8-B48F-1D18A9856A87","full_name":"Zanco, Giovanni A","last_name":"Zanco"}],"_id":"10878","publisher":"American Institute of Mathematical Sciences","publication_status":"published","quality_controlled":"1","corr_author":"1","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","day":"01","external_id":{"arxiv":["1708.04156"],"isi":["000459954800003"]},"project":[{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"}],"keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics","Analysis"],"date_updated":"2025-04-15T08:31:32Z","page":"3037-3067","main_file_link":[{"url":"https://arxiv.org/abs/1708.04156","open_access":"1"}]},{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","external_id":{"arxiv":["1611.04177"],"isi":["000458945300012"]},"day":"01","main_file_link":[{"url":"https://arxiv.org/abs/1611.04177","open_access":"1"}],"date_updated":"2023-08-24T14:20:49Z","page":"995-1012","author":[{"full_name":"Gerencser, Mate","last_name":"Gerencser","first_name":"Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Gyöngy","full_name":"Gyöngy, István","first_name":"István"}],"_id":"301","publisher":"Elsevier","oa":1,"quality_controlled":"1","publication_status":"published","title":"A Feynman–Kac formula for stochastic Dirichlet problems","arxiv":1,"issue":"3","intvolume":"       129","year":"2019","publication":"Stochastic Processes and their Applications","language":[{"iso":"eng"}],"date_published":"2019-03-01T00:00:00Z","scopus_import":"1","type":"journal_article","doi":"10.1016/j.spa.2018.04.003","oa_version":"Preprint","citation":{"mla":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” <i>Stochastic Processes and Their Applications</i>, vol. 129, no. 3, Elsevier, 2019, pp. 995–1012, doi:<a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">10.1016/j.spa.2018.04.003</a>.","apa":"Gerencser, M., &#38; Gyöngy, I. (2019). A Feynman–Kac formula for stochastic Dirichlet problems. <i>Stochastic Processes and Their Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">https://doi.org/10.1016/j.spa.2018.04.003</a>","chicago":"Gerencser, Mate, and István Gyöngy. “A Feynman–Kac Formula for Stochastic Dirichlet Problems.” <i>Stochastic Processes and Their Applications</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">https://doi.org/10.1016/j.spa.2018.04.003</a>.","ista":"Gerencser M, Gyöngy I. 2019. A Feynman–Kac formula for stochastic Dirichlet problems. Stochastic Processes and their Applications. 129(3), 995–1012.","ieee":"M. Gerencser and I. Gyöngy, “A Feynman–Kac formula for stochastic Dirichlet problems,” <i>Stochastic Processes and their Applications</i>, vol. 129, no. 3. Elsevier, pp. 995–1012, 2019.","ama":"Gerencser M, Gyöngy I. A Feynman–Kac formula for stochastic Dirichlet problems. <i>Stochastic Processes and their Applications</i>. 2019;129(3):995-1012. doi:<a href=\"https://doi.org/10.1016/j.spa.2018.04.003\">10.1016/j.spa.2018.04.003</a>","short":"M. Gerencser, I. Gyöngy, Stochastic Processes and Their Applications 129 (2019) 995–1012."},"date_created":"2018-12-11T11:45:42Z","article_type":"original","month":"03","isi":1,"abstract":[{"text":"A representation formula for solutions of stochastic partial differential equations with Dirichlet boundary conditions is proved. The scope of our setting is wide enough to cover the general situation when the backward characteristics that appear in the usual formulation are not even defined in the Itô sense.","lang":"eng"}],"volume":129,"article_processing_charge":"No","department":[{"_id":"JaMa"}],"status":"public"},{"title":"A solution theory for quasilinear singular SPDEs","year":"2019","intvolume":"        72","issue":"9","type":"journal_article","scopus_import":"1","language":[{"iso":"eng"}],"publication":"Communications on Pure and Applied Mathematics","date_published":"2019-02-08T00:00:00Z","doi":"10.1002/cpa.21816","citation":{"ieee":"M. Gerencser and M. Hairer, “A solution theory for quasilinear singular SPDEs,” <i>Communications on Pure and Applied Mathematics</i>, vol. 72, no. 9. Wiley, pp. 1983–2005, 2019.","ista":"Gerencser M, Hairer M. 2019. A solution theory for quasilinear singular SPDEs. Communications on Pure and Applied Mathematics. 72(9), 1983–2005.","apa":"Gerencser, M., &#38; Hairer, M. (2019). A solution theory for quasilinear singular SPDEs. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.21816\">https://doi.org/10.1002/cpa.21816</a>","mla":"Gerencser, Mate, and Martin Hairer. “A Solution Theory for Quasilinear Singular SPDEs.” <i>Communications on Pure and Applied Mathematics</i>, vol. 72, no. 9, Wiley, 2019, pp. 1983–2005, doi:<a href=\"https://doi.org/10.1002/cpa.21816\">10.1002/cpa.21816</a>.","chicago":"Gerencser, Mate, and Martin Hairer. “A Solution Theory for Quasilinear Singular SPDEs.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2019. <a href=\"https://doi.org/10.1002/cpa.21816\">https://doi.org/10.1002/cpa.21816</a>.","ama":"Gerencser M, Hairer M. A solution theory for quasilinear singular SPDEs. <i>Communications on Pure and Applied Mathematics</i>. 2019;72(9):1983-2005. doi:<a href=\"https://doi.org/10.1002/cpa.21816\">10.1002/cpa.21816</a>","short":"M. Gerencser, M. Hairer, Communications on Pure and Applied Mathematics 72 (2019) 1983–2005."},"oa_version":"Published Version","file":[{"creator":"kschuh","date_created":"2020-01-07T13:25:55Z","relation":"main_file","file_id":"7237","access_level":"open_access","content_type":"application/pdf","file_name":"2019_Wiley_Gerencser.pdf","date_updated":"2020-07-14T12:47:17Z","file_size":381350,"checksum":"09aec427eb48c0f96a1cce9ff53f013b"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_created":"2019-02-17T22:59:24Z","department":[{"_id":"JaMa"}],"article_processing_charge":"Yes (via OA deal)","volume":72,"month":"02","isi":1,"abstract":[{"text":"We give a construction allowing us to build local renormalized solutions to general quasilinear stochastic PDEs within the theory of regularity structures, thus greatly generalizing the recent results of [1, 5, 11]. Loosely speaking, our construction covers quasilinear variants of all classes of equations for which the general construction of [3, 4, 7] applies, including in particular one‐dimensional systems with KPZ‐type nonlinearities driven by space‐time white noise. In a less singular and more specific case, we furthermore show that the counterterms introduced by the renormalization procedure are given by local functionals of the solution. The main feature of our construction is that it allows exploitation of a number of existing results developed for the semilinear case, so that the number of additional arguments it requires is relatively small.","lang":"eng"}],"status":"public","day":"08","external_id":{"isi":["000475465000003"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","page":"1983-2005","date_updated":"2024-10-09T20:58:47Z","publisher":"Wiley","_id":"6028","author":[{"id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate","last_name":"Gerencser","full_name":"Gerencser, Mate"},{"last_name":"Hairer","full_name":"Hairer, Martin","first_name":"Martin"}],"has_accepted_license":"1","ddc":["500"],"file_date_updated":"2020-07-14T12:47:17Z","oa":1,"quality_controlled":"1","corr_author":"1","publication_status":"published"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"isi":["000459681900005"],"arxiv":["1705.05364"]},"day":"01","main_file_link":[{"url":"https://arxiv.org/abs/1705.05364","open_access":"1"}],"date_updated":"2025-07-10T11:53:17Z","page":"804-834","author":[{"first_name":"Mate","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","full_name":"Gerencser, Mate","last_name":"Gerencser"}],"_id":"6232","publisher":"Institute of Mathematical Statistics","oa":1,"quality_controlled":"1","publication_status":"published","title":"Boundary regularity of stochastic PDEs","publication_identifier":{"issn":["0091-1798"]},"arxiv":1,"issue":"2","year":"2019","intvolume":"        47","scopus_import":"1","language":[{"iso":"eng"}],"date_published":"2019-03-01T00:00:00Z","publication":"Annals of Probability","type":"journal_article","doi":"10.1214/18-AOP1272","oa_version":"Preprint","citation":{"ama":"Gerencser M. Boundary regularity of stochastic PDEs. <i>Annals of Probability</i>. 2019;47(2):804-834. doi:<a href=\"https://doi.org/10.1214/18-AOP1272\">10.1214/18-AOP1272</a>","short":"M. Gerencser, Annals of Probability 47 (2019) 804–834.","ieee":"M. Gerencser, “Boundary regularity of stochastic PDEs,” <i>Annals of Probability</i>, vol. 47, no. 2. Institute of Mathematical Statistics, pp. 804–834, 2019.","ista":"Gerencser M. 2019. Boundary regularity of stochastic PDEs. Annals of Probability. 47(2), 804–834.","apa":"Gerencser, M. (2019). Boundary regularity of stochastic PDEs. <i>Annals of Probability</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/18-AOP1272\">https://doi.org/10.1214/18-AOP1272</a>","mla":"Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.” <i>Annals of Probability</i>, vol. 47, no. 2, Institute of Mathematical Statistics, 2019, pp. 804–34, doi:<a href=\"https://doi.org/10.1214/18-AOP1272\">10.1214/18-AOP1272</a>.","chicago":"Gerencser, Mate. “Boundary Regularity of Stochastic PDEs.” <i>Annals of Probability</i>. Institute of Mathematical Statistics, 2019. <a href=\"https://doi.org/10.1214/18-AOP1272\">https://doi.org/10.1214/18-AOP1272</a>."},"date_created":"2019-04-07T21:59:15Z","article_processing_charge":"No","volume":47,"abstract":[{"lang":"eng","text":"The boundary behaviour of solutions of stochastic PDEs with Dirichlet boundary conditions can be surprisingly—and in a sense, arbitrarily—bad: as shown by Krylov[ SIAM J. Math. Anal.34(2003) 1167–1182], for any α>0 one can find a simple 1-dimensional constant coefficient linear equation whose solution at the boundary is not α-Hölder continuous.We obtain a positive counterpart of this: under some mild regularity assumptions on the coefficients, solutions of semilinear SPDEs on C1 domains are proved to be α-Hölder continuous up to the boundary with some α>0."}],"isi":1,"month":"03","department":[{"_id":"JaMa"}],"status":"public"},{"file_date_updated":"2020-07-14T12:46:03Z","oa":1,"publisher":"Springer","ddc":["510"],"has_accepted_license":"1","author":[{"full_name":"Gerencser, Mate","last_name":"Gerencser","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate"},{"first_name":"Martin","full_name":"Hairer, Martin","last_name":"Hairer"}],"_id":"319","publication_status":"published","corr_author":"1","quality_controlled":"1","external_id":{"isi":["000463613800001"]},"day":"01","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"page":"697–758","date_updated":"2026-04-03T09:45:34Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_created":"2018-12-11T11:45:48Z","article_type":"original","citation":{"ista":"Gerencser M, Hairer M. 2019. Singular SPDEs in domains with boundaries. Probability Theory and Related Fields. 173(3–4), 697–758.","ieee":"M. Gerencser and M. Hairer, “Singular SPDEs in domains with boundaries,” <i>Probability Theory and Related Fields</i>, vol. 173, no. 3–4. Springer, pp. 697–758, 2019.","chicago":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” <i>Probability Theory and Related Fields</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00440-018-0841-1\">https://doi.org/10.1007/s00440-018-0841-1</a>.","apa":"Gerencser, M., &#38; Hairer, M. (2019). Singular SPDEs in domains with boundaries. <i>Probability Theory and Related Fields</i>. Springer. <a href=\"https://doi.org/10.1007/s00440-018-0841-1\">https://doi.org/10.1007/s00440-018-0841-1</a>","mla":"Gerencser, Mate, and Martin Hairer. “Singular SPDEs in Domains with Boundaries.” <i>Probability Theory and Related Fields</i>, vol. 173, no. 3–4, Springer, 2019, pp. 697–758, doi:<a href=\"https://doi.org/10.1007/s00440-018-0841-1\">10.1007/s00440-018-0841-1</a>.","short":"M. Gerencser, M. Hairer, Probability Theory and Related Fields 173 (2019) 697–758.","ama":"Gerencser M, Hairer M. Singular SPDEs in domains with boundaries. <i>Probability Theory and Related Fields</i>. 2019;173(3-4):697–758. doi:<a href=\"https://doi.org/10.1007/s00440-018-0841-1\">10.1007/s00440-018-0841-1</a>"},"file":[{"date_updated":"2020-07-14T12:46:03Z","file_name":"2018_ProbTheory_Gerencser.pdf","file_size":893182,"content_type":"application/pdf","checksum":"288d16ef7291242f485a9660979486e3","relation":"main_file","creator":"dernst","date_created":"2018-12-17T16:25:24Z","file_id":"5722","access_level":"open_access"}],"oa_version":"Published Version","status":"public","publist_id":"7546","department":[{"_id":"JaMa"}],"volume":173,"month":"04","abstract":[{"lang":"eng","text":"We study spaces of modelled distributions with singular behaviour near the boundary of a domain that, in the context of the theory of regularity structures, allow one to give robust solution theories for singular stochastic PDEs with boundary conditions. The calculus of modelled distributions established in Hairer (Invent Math 198(2):269–504, 2014. https://doi.org/10.1007/s00222-014-0505-4) is extended to this setting. We formulate and solve fixed point problems in these spaces with a class of kernels that is sufficiently large to cover in particular the Dirichlet and Neumann heat kernels. These results are then used to provide solution theories for the KPZ equation with Dirichlet and Neumann boundary conditions and for the 2D generalised parabolic Anderson model with Dirichlet boundary conditions. In the case of the KPZ equation with Neumann boundary conditions, we show that, depending on the class of mollifiers one considers, a “boundary renormalisation” takes place. In other words, there are situations in which a certain boundary condition is applied to an approximation to the KPZ equation, but the limiting process is the Hopf–Cole solution to the KPZ equation with a different boundary condition."}],"isi":1,"article_processing_charge":"Yes (via OA deal)","intvolume":"       173","year":"2019","acknowledgement":"MG thanks the support of the LMS Postdoctoral Mobility Grant.\r\n\r\n","issue":"3-4","publication_identifier":{"issn":["0178-8051"],"eissn":["1432-2064"]},"title":"Singular SPDEs in domains with boundaries","doi":"10.1007/s00440-018-0841-1","type":"journal_article","date_published":"2019-04-01T00:00:00Z","publication":"Probability Theory and Related Fields","language":[{"iso":"eng"}],"scopus_import":"1"},{"type":"journal_article","scopus_import":"1","date_published":"2019-03-05T00:00:00Z","language":[{"iso":"eng"}],"publication":"Journal of Differential Equations","doi":"10.1016/j.jde.2018.09.012","arxiv":1,"title":"Entropy solutions for stochastic porous media equations","year":"2019","intvolume":"       266","issue":"6","department":[{"_id":"JaMa"}],"article_processing_charge":"No","abstract":[{"lang":"eng","text":"We provide an entropy formulation for porous medium-type equations with a stochastic, non-linear, spatially inhomogeneous forcing. Well-posedness and L1-contraction is obtained in the class of entropy solutions. Our scope allows for porous medium operators Δ(|u|m−1u) for all m∈(1,∞), and Hölder continuous diffusion nonlinearity with exponent 1/2."}],"month":"03","isi":1,"volume":266,"status":"public","publist_id":"7989","citation":{"ama":"Dareiotis K, Gerencser M, Gess B. Entropy solutions for stochastic porous media equations. <i>Journal of Differential Equations</i>. 2019;266(6):3732-3763. doi:<a href=\"https://doi.org/10.1016/j.jde.2018.09.012\">10.1016/j.jde.2018.09.012</a>","short":"K. Dareiotis, M. Gerencser, B. Gess, Journal of Differential Equations 266 (2019) 3732–3763.","ista":"Dareiotis K, Gerencser M, Gess B. 2019. Entropy solutions for stochastic porous media equations. Journal of Differential Equations. 266(6), 3732–3763.","ieee":"K. Dareiotis, M. Gerencser, and B. Gess, “Entropy solutions for stochastic porous media equations,” <i>Journal of Differential Equations</i>, vol. 266, no. 6. Elsevier, pp. 3732–3763, 2019.","mla":"Dareiotis, Konstantinos, et al. “Entropy Solutions for Stochastic Porous Media Equations.” <i>Journal of Differential Equations</i>, vol. 266, no. 6, Elsevier, 2019, pp. 3732–63, doi:<a href=\"https://doi.org/10.1016/j.jde.2018.09.012\">10.1016/j.jde.2018.09.012</a>.","apa":"Dareiotis, K., Gerencser, M., &#38; Gess, B. (2019). Entropy solutions for stochastic porous media equations. <i>Journal of Differential Equations</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jde.2018.09.012\">https://doi.org/10.1016/j.jde.2018.09.012</a>","chicago":"Dareiotis, Konstantinos, Mate Gerencser, and Benjamin Gess. “Entropy Solutions for Stochastic Porous Media Equations.” <i>Journal of Differential Equations</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.jde.2018.09.012\">https://doi.org/10.1016/j.jde.2018.09.012</a>."},"oa_version":"Preprint","article_type":"original","date_created":"2018-12-11T11:44:26Z","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1803.06953"}],"page":"3732-3763","date_updated":"2025-04-22T13:48:09Z","day":"05","external_id":{"isi":["000456332500026"],"arxiv":["1803.06953"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","publication_status":"published","publisher":"Elsevier","_id":"65","author":[{"full_name":"Dareiotis, Konstantinos","last_name":"Dareiotis","first_name":"Konstantinos"},{"full_name":"Gerencser, Mate","last_name":"Gerencser","id":"44ECEDF2-F248-11E8-B48F-1D18A9856A87","first_name":"Mate"},{"last_name":"Gess","full_name":"Gess, Benjamin","first_name":"Benjamin"}],"oa":1},{"doi":"10.1214/18-AIHP916","scopus_import":"1","date_published":"2019-09-25T00:00:00Z","language":[{"iso":"eng"}],"publication":"Annales de l'institut Henri Poincare (B) Probability and Statistics","type":"journal_article","issue":"3","year":"2019","intvolume":"        55","title":"Limit law of a second class particle in TASEP with non-random initial condition","publication_identifier":{"issn":["0246-0203"]},"arxiv":1,"status":"public","article_processing_charge":"No","month":"09","isi":1,"abstract":[{"lang":"eng","text":"We consider the totally asymmetric simple exclusion process (TASEP) with non-random initial condition having density ρ on ℤ− and λ on ℤ+, and a second class particle initially at the origin. For ρ&lt;λ, there is a shock and the second class particle moves with speed 1−λ−ρ. For large time t, we show that the position of the second class particle fluctuates on a t1/3 scale and determine its limiting law. We also obtain the limiting distribution of the number of steps made by the second class particle until time t."}],"volume":55,"department":[{"_id":"LaEr"},{"_id":"JaMa"}],"ec_funded":1,"date_created":"2018-12-11T11:44:29Z","article_type":"original","oa_version":"Preprint","citation":{"short":"P. Ferrari, P. Ghosal, P. Nejjar, Annales de l’institut Henri Poincare (B) Probability and Statistics 55 (2019) 1203–1225.","ama":"Ferrari P, Ghosal P, Nejjar P. Limit law of a second class particle in TASEP with non-random initial condition. <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. 2019;55(3):1203-1225. doi:<a href=\"https://doi.org/10.1214/18-AIHP916\">10.1214/18-AIHP916</a>","ieee":"P. Ferrari, P. Ghosal, and P. Nejjar, “Limit law of a second class particle in TASEP with non-random initial condition,” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>, vol. 55, no. 3. Institute of Mathematical Statistics, pp. 1203–1225, 2019.","ista":"Ferrari P, Ghosal P, Nejjar P. 2019. Limit law of a second class particle in TASEP with non-random initial condition. Annales de l’institut Henri Poincare (B) Probability and Statistics. 55(3), 1203–1225.","chicago":"Ferrari, Patrick, Promit Ghosal, and Peter Nejjar. “Limit Law of a Second Class Particle in TASEP with Non-Random Initial Condition.” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. Institute of Mathematical Statistics, 2019. <a href=\"https://doi.org/10.1214/18-AIHP916\">https://doi.org/10.1214/18-AIHP916</a>.","mla":"Ferrari, Patrick, et al. “Limit Law of a Second Class Particle in TASEP with Non-Random Initial Condition.” <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>, vol. 55, no. 3, Institute of Mathematical Statistics, 2019, pp. 1203–25, doi:<a href=\"https://doi.org/10.1214/18-AIHP916\">10.1214/18-AIHP916</a>.","apa":"Ferrari, P., Ghosal, P., &#38; Nejjar, P. (2019). Limit law of a second class particle in TASEP with non-random initial condition. <i>Annales de l’institut Henri Poincare (B) Probability and Statistics</i>. Institute of Mathematical Statistics. <a href=\"https://doi.org/10.1214/18-AIHP916\">https://doi.org/10.1214/18-AIHP916</a>"},"date_updated":"2025-04-14T07:27:49Z","page":"1203-1225","main_file_link":[{"url":"https://arxiv.org/abs/1710.02323","open_access":"1"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"isi":["000487763200001"],"arxiv":["1710.02323"]},"day":"25","project":[{"grant_number":"338804","name":"Random matrices, universality and disordered quantum systems","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","call_identifier":"FP7"},{"call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425"}],"publication_status":"published","quality_controlled":"1","oa":1,"author":[{"last_name":"Ferrari","full_name":"Ferrari, Patrick","first_name":"Patrick"},{"last_name":"Ghosal","full_name":"Ghosal, Promit","first_name":"Promit"},{"last_name":"Nejjar","full_name":"Nejjar, Peter","first_name":"Peter","id":"4BF426E2-F248-11E8-B48F-1D18A9856A87"}],"_id":"72","publisher":"Institute of Mathematical Statistics"},{"quality_controlled":"1","publication_status":"published","_id":"73","author":[{"first_name":"Matthias","full_name":"Erbar, Matthias","last_name":"Erbar"},{"full_name":"Maas, Jan","orcid":"0000-0002-0845-1338","last_name":"Maas","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Wirth","full_name":"Wirth, Melchior","first_name":"Melchior"}],"ddc":["510"],"has_accepted_license":"1","publisher":"Springer","file_date_updated":"2020-07-14T12:47:55Z","oa":1,"date_updated":"2026-04-16T09:51:42Z","project":[{"call_identifier":"H2020","grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics"},{"grant_number":"F06504","name":"Taming Complexity in Partial Differential Systems","_id":"260482E2-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","day":"01","external_id":{"isi":["000452849400001"],"arxiv":["1805.06040"]},"article_processing_charge":"Yes (via OA deal)","month":"02","isi":1,"abstract":[{"lang":"eng","text":"We consider the space of probability measures on a discrete set X, endowed with a dynamical optimal transport metric. Given two probability measures supported in a subset Y⊆X, it is natural to ask whether they can be connected by a constant speed geodesic with support in Y at all times. Our main result answers this question affirmatively, under a suitable geometric condition on Y introduced in this paper. The proof relies on an extension result for subsolutions to discrete Hamilton-Jacobi equations, which is of independent interest."}],"volume":58,"department":[{"_id":"JaMa"}],"status":"public","oa_version":"Published Version","file":[{"file_id":"5895","date_created":"2019-01-28T15:37:11Z","creator":"dernst","relation":"main_file","access_level":"open_access","content_type":"application/pdf","date_updated":"2020-07-14T12:47:55Z","file_size":645565,"file_name":"2018_Calculus_Erbar.pdf","checksum":"ba05ac2d69de4c58d2cd338b63512798"}],"citation":{"chicago":"Erbar, Matthias, Jan Maas, and Melchior Wirth. “On the Geometry of Geodesics in Discrete Optimal Transport.” <i>Calculus of Variations and Partial Differential Equations</i>. Springer, 2019. <a href=\"https://doi.org/10.1007/s00526-018-1456-1\">https://doi.org/10.1007/s00526-018-1456-1</a>.","apa":"Erbar, M., Maas, J., &#38; Wirth, M. (2019). On the geometry of geodesics in discrete optimal transport. <i>Calculus of Variations and Partial Differential Equations</i>. Springer. <a href=\"https://doi.org/10.1007/s00526-018-1456-1\">https://doi.org/10.1007/s00526-018-1456-1</a>","mla":"Erbar, Matthias, et al. “On the Geometry of Geodesics in Discrete Optimal Transport.” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 58, no. 1, 19, Springer, 2019, doi:<a href=\"https://doi.org/10.1007/s00526-018-1456-1\">10.1007/s00526-018-1456-1</a>.","ista":"Erbar M, Maas J, Wirth M. 2019. On the geometry of geodesics in discrete optimal transport. Calculus of Variations and Partial Differential Equations. 58(1), 19.","ieee":"M. Erbar, J. Maas, and M. Wirth, “On the geometry of geodesics in discrete optimal transport,” <i>Calculus of Variations and Partial Differential Equations</i>, vol. 58, no. 1. Springer, 2019.","short":"M. Erbar, J. Maas, M. Wirth, Calculus of Variations and Partial Differential Equations 58 (2019).","ama":"Erbar M, Maas J, Wirth M. On the geometry of geodesics in discrete optimal transport. <i>Calculus of Variations and Partial Differential Equations</i>. 2019;58(1). doi:<a href=\"https://doi.org/10.1007/s00526-018-1456-1\">10.1007/s00526-018-1456-1</a>"},"date_created":"2018-12-11T11:44:29Z","ec_funded":1,"article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"scopus_import":"1","language":[{"iso":"eng"}],"date_published":"2019-02-01T00:00:00Z","publication":"Calculus of Variations and Partial Differential Equations","type":"journal_article","doi":"10.1007/s00526-018-1456-1","title":"On the geometry of geodesics in discrete optimal transport","arxiv":1,"publication_identifier":{"issn":["0944-2669"]},"article_number":"19","issue":"1","year":"2019","intvolume":"        58"},{"main_file_link":[{"url":" https://doi.org/10.48550/arXiv.1910.10050","open_access":"1"}],"date_updated":"2025-06-26T10:23:55Z","page":"425-447","project":[{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1910.10050"]},"day":"22","OA_type":"green","corr_author":"1","quality_controlled":"1","publication_status":"published","_id":"7550","author":[{"last_name":"Portinale","full_name":"Portinale, Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","first_name":"Lorenzo"},{"full_name":"Stefanelli, Ulisse","last_name":"Stefanelli","first_name":"Ulisse"}],"publisher":"Gakko Tosho","oa":1,"date_published":"2019-10-22T00:00:00Z","publication":"Advances in Mathematical Sciences and Applications","language":[{"iso":"eng"}],"type":"journal_article","title":"Penalization via global functionals of optimal-control problems for dissipative evolution","arxiv":1,"publication_identifier":{"issn":["1343-4373"]},"acknowledgement":"This work is supported by Vienna Science and Technology Fund (WWTF) through Project MA14-009 and by the Austrian Science Fund (FWF) projects F 65 and I 2375.","issue":"2","intvolume":"        28","year":"2019","volume":28,"month":"10","abstract":[{"lang":"eng","text":"We consider an optimal control problem for an abstract nonlinear dissipative evolution equation. The differential constraint is penalized by augmenting the target functional by a nonnegative global-in-time functional which is null-minimized in the evolution equation is satisfied. Different variational settings are presented, leading to the convergence of the penalization method for gradient flows, noncyclic and semimonotone flows, doubly nonlinear evolutions, and GENERIC systems. "}],"article_processing_charge":"No","department":[{"_id":"JaMa"}],"status":"public","oa_version":"Preprint","citation":{"ieee":"L. Portinale and U. Stefanelli, “Penalization via global functionals of optimal-control problems for dissipative evolution,” <i>Advances in Mathematical Sciences and Applications</i>, vol. 28, no. 2. Gakko Tosho, pp. 425–447, 2019.","ista":"Portinale L, Stefanelli U. 2019. Penalization via global functionals of optimal-control problems for dissipative evolution. Advances in Mathematical Sciences and Applications. 28(2), 425–447.","apa":"Portinale, L., &#38; Stefanelli, U. (2019). Penalization via global functionals of optimal-control problems for dissipative evolution. <i>Advances in Mathematical Sciences and Applications</i>. Gakko Tosho.","mla":"Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution.” <i>Advances in Mathematical Sciences and Applications</i>, vol. 28, no. 2, Gakko Tosho, 2019, pp. 425–47.","chicago":"Portinale, Lorenzo, and Ulisse Stefanelli. “Penalization via Global Functionals of Optimal-Control Problems for Dissipative Evolution.” <i>Advances in Mathematical Sciences and Applications</i>. Gakko Tosho, 2019.","ama":"Portinale L, Stefanelli U. Penalization via global functionals of optimal-control problems for dissipative evolution. <i>Advances in Mathematical Sciences and Applications</i>. 2019;28(2):425-447.","short":"L. Portinale, U. Stefanelli, Advances in Mathematical Sciences and Applications 28 (2019) 425–447."},"OA_place":"repository","date_created":"2020-02-28T10:54:41Z","article_type":"original"},{"issue":"2","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). The second named author benefited partially from the support of the “FMJH Program Gaspard Monge in Optimization and Operations Research” (Project 2014-1607H). He is also grateful for the invitation to the Department of Mathematics of the University of Pisa. The third named author is grateful for the invitation to ENSTA.","intvolume":"        31","year":"2018","title":"Infinite-dimensional calculus under weak spatial regularity of the processes","doi":"10.1007/s10959-016-0724-2","language":[{"iso":"eng"}],"date_published":"2018-06-01T00:00:00Z","publication":"Journal of Theoretical Probability","scopus_import":"1","type":"journal_article","pubrep_id":"712","date_created":"2018-12-11T11:50:45Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"creator":"system","date_created":"2018-12-12T10:17:13Z","relation":"main_file","file_id":"5266","access_level":"open_access","content_type":"application/pdf","date_updated":"2020-07-14T12:44:39Z","file_name":"IST-2016-712-v1+1_s10959-016-0724-2.pdf","file_size":671125,"checksum":"47686d58ec21c164540f1a980ff2163f"}],"oa_version":"Published Version","citation":{"ama":"Flandoli F, Russo F, Zanco GA. Infinite-dimensional calculus under weak spatial regularity of the processes. <i>Journal of Theoretical Probability</i>. 2018;31(2):789-826. doi:<a href=\"https://doi.org/10.1007/s10959-016-0724-2\">10.1007/s10959-016-0724-2</a>","short":"F. Flandoli, F. Russo, G.A. Zanco, Journal of Theoretical Probability 31 (2018) 789–826.","apa":"Flandoli, F., Russo, F., &#38; Zanco, G. A. (2018). Infinite-dimensional calculus under weak spatial regularity of the processes. <i>Journal of Theoretical Probability</i>. Springer. <a href=\"https://doi.org/10.1007/s10959-016-0724-2\">https://doi.org/10.1007/s10959-016-0724-2</a>","mla":"Flandoli, Franco, et al. “Infinite-Dimensional Calculus under Weak Spatial Regularity of the Processes.” <i>Journal of Theoretical Probability</i>, vol. 31, no. 2, Springer, 2018, pp. 789–826, doi:<a href=\"https://doi.org/10.1007/s10959-016-0724-2\">10.1007/s10959-016-0724-2</a>.","chicago":"Flandoli, Franco, Francesco Russo, and Giovanni A Zanco. “Infinite-Dimensional Calculus under Weak Spatial Regularity of the Processes.” <i>Journal of Theoretical Probability</i>. Springer, 2018. <a href=\"https://doi.org/10.1007/s10959-016-0724-2\">https://doi.org/10.1007/s10959-016-0724-2</a>.","ista":"Flandoli F, Russo F, Zanco GA. 2018. Infinite-dimensional calculus under weak spatial regularity of the processes. Journal of Theoretical Probability. 31(2), 789–826.","ieee":"F. Flandoli, F. Russo, and G. A. Zanco, “Infinite-dimensional calculus under weak spatial regularity of the processes,” <i>Journal of Theoretical Probability</i>, vol. 31, no. 2. Springer, pp. 789–826, 2018."},"publist_id":"6119","status":"public","isi":1,"volume":31,"abstract":[{"lang":"eng","text":"Two generalizations of Itô formula to infinite-dimensional spaces are given.\r\nThe first one, in Hilbert spaces, extends the classical one by taking advantage of\r\ncancellations when they occur in examples and it is applied to the case of a group\r\ngenerator. The second one, based on the previous one and a limit procedure, is an Itô\r\nformula in a special class of Banach spaces having a product structure with the noise\r\nin a Hilbert component; again the key point is the extension due to a cancellation. This\r\nextension to Banach spaces and in particular the specific cancellation are motivated\r\nby path-dependent Itô calculus."}],"month":"06","article_processing_charge":"Yes (via OA deal)","department":[{"_id":"JaMa"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","day":"01","external_id":{"isi":["000432743300007"]},"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"date_updated":"2025-09-22T09:36:02Z","page":"789-826","oa":1,"file_date_updated":"2020-07-14T12:44:39Z","has_accepted_license":"1","ddc":["519"],"author":[{"full_name":"Flandoli, Franco","last_name":"Flandoli","first_name":"Franco"},{"first_name":"Francesco","full_name":"Russo, Francesco","last_name":"Russo"},{"first_name":"Giovanni A","id":"47491882-F248-11E8-B48F-1D18A9856A87","last_name":"Zanco","full_name":"Zanco, Giovanni A"}],"_id":"1215","publisher":"Springer","publication_status":"published","quality_controlled":"1","corr_author":"1"},{"date_created":"2018-12-11T11:47:09Z","ec_funded":1,"article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file":[{"checksum":"0c38abe73569b7166b7487ad5d23cc68","content_type":"application/pdf","file_size":3084674,"file_name":"2018_Annales_Betea.pdf","date_updated":"2020-07-14T12:47:03Z","access_level":"open_access","file_id":"5866","creator":"dernst","date_created":"2019-01-21T15:18:55Z","relation":"main_file"}],"oa_version":"Published Version","citation":{"mla":"Betea, Dan, et al. “The Free Boundary Schur Process and Applications I.” <i>Annales Henri Poincare</i>, vol. 19, no. 12, Springer Nature, 2018, pp. 3663–742, doi:<a href=\"https://doi.org/10.1007/s00023-018-0723-1\">10.1007/s00023-018-0723-1</a>.","apa":"Betea, D., Bouttier, J., Nejjar, P., &#38; Vuletic, M. (2018). The free boundary Schur process and applications I. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-018-0723-1\">https://doi.org/10.1007/s00023-018-0723-1</a>","chicago":"Betea, Dan, Jeremie Bouttier, Peter Nejjar, and Mirjana Vuletic. “The Free Boundary Schur Process and Applications I.” <i>Annales Henri Poincare</i>. Springer Nature, 2018. <a href=\"https://doi.org/10.1007/s00023-018-0723-1\">https://doi.org/10.1007/s00023-018-0723-1</a>.","ista":"Betea D, Bouttier J, Nejjar P, Vuletic M. 2018. The free boundary Schur process and applications I. Annales Henri Poincare. 19(12), 3663–3742.","ieee":"D. Betea, J. Bouttier, P. Nejjar, and M. Vuletic, “The free boundary Schur process and applications I,” <i>Annales Henri Poincare</i>, vol. 19, no. 12. Springer Nature, pp. 3663–3742, 2018.","ama":"Betea D, Bouttier J, Nejjar P, Vuletic M. The free boundary Schur process and applications I. <i>Annales Henri Poincare</i>. 2018;19(12):3663-3742. doi:<a href=\"https://doi.org/10.1007/s00023-018-0723-1\">10.1007/s00023-018-0723-1</a>","short":"D. Betea, J. Bouttier, P. Nejjar, M. Vuletic, Annales Henri Poincare 19 (2018) 3663–3742."},"publist_id":"7258","status":"public","month":"11","volume":19,"abstract":[{"lang":"eng","text":"We investigate the free boundary Schur process, a variant of the Schur process introduced by Okounkov and Reshetikhin, where we allow the first and the last partitions to be arbitrary (instead of empty in the original setting). The pfaffian Schur process, previously studied by several authors, is recovered when just one of the boundary partitions is left free. We compute the correlation functions of the process in all generality via the free fermion formalism, which we extend with the thorough treatment of “free boundary states.” For the case of one free boundary, our approach yields a new proof that the process is pfaffian. For the case of two free boundaries, we find that the process is not pfaffian, but a closely related process is. We also study three different applications of the Schur process with one free boundary: fluctuations of symmetrized last passage percolation models, limit shapes and processes for symmetric plane partitions and for plane overpartitions."}],"isi":1,"article_processing_charge":"Yes (via OA deal)","department":[{"_id":"LaEr"},{"_id":"JaMa"}],"issue":"12","intvolume":"        19","year":"2018","title":"The free boundary Schur process and applications I","arxiv":1,"publication_identifier":{"issn":["1424-0637"]},"doi":"10.1007/s00023-018-0723-1","date_published":"2018-11-13T00:00:00Z","publication":"Annales Henri Poincare","language":[{"iso":"eng"}],"scopus_import":"1","type":"journal_article","file_date_updated":"2020-07-14T12:47:03Z","oa":1,"ddc":["500"],"has_accepted_license":"1","author":[{"first_name":"Dan","full_name":"Betea, Dan","last_name":"Betea"},{"first_name":"Jeremie","full_name":"Bouttier, Jeremie","last_name":"Bouttier"},{"first_name":"Peter","id":"4BF426E2-F248-11E8-B48F-1D18A9856A87","last_name":"Nejjar","full_name":"Nejjar, Peter"},{"first_name":"Mirjana","full_name":"Vuletic, Mirjana","last_name":"Vuletic"}],"_id":"556","publisher":"Springer Nature","publication_status":"published","quality_controlled":"1","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","external_id":{"arxiv":["1704.05809"],"isi":["000450487900003"]},"day":"13","project":[{"call_identifier":"FP7","name":"Random matrices, universality and disordered quantum systems","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","grant_number":"338804"},{"grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020"}],"date_updated":"2025-09-18T07:34:29Z","page":"3663-3742"},{"project":[{"call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117"}],"day":"31","external_id":{"isi":["000433915500001"],"arxiv":["1712.10205"]},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","date_updated":"2026-04-08T07:25:54Z","publisher":"Cambridge University Press","has_accepted_license":"1","ddc":["510"],"_id":"6355","author":[{"full_name":"Akopyan, Arseniy","orcid":"0000-0002-2548-617X","last_name":"Akopyan","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","first_name":"Arseniy"},{"first_name":"Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7840-5062","last_name":"Avvakumov","full_name":"Avvakumov, Sergey"}],"file_date_updated":"2020-07-14T12:47:28Z","oa":1,"quality_controlled":"1","corr_author":"1","publication_status":"published","article_number":"e7","publication_identifier":{"issn":["2050-5094"]},"arxiv":1,"title":"Any cyclic quadrilateral can be inscribed in any closed convex smooth curve","intvolume":"         6","year":"2018","type":"journal_article","date_published":"2018-05-31T00:00:00Z","language":[{"iso":"eng"}],"publication":"Forum of Mathematics, Sigma","doi":"10.1017/fms.2018.7","citation":{"ama":"Akopyan A, Avvakumov S. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. <i>Forum of Mathematics, Sigma</i>. 2018;6. doi:<a href=\"https://doi.org/10.1017/fms.2018.7\">10.1017/fms.2018.7</a>","short":"A. Akopyan, S. Avvakumov, Forum of Mathematics, Sigma 6 (2018).","mla":"Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” <i>Forum of Mathematics, Sigma</i>, vol. 6, e7, Cambridge University Press, 2018, doi:<a href=\"https://doi.org/10.1017/fms.2018.7\">10.1017/fms.2018.7</a>.","apa":"Akopyan, A., &#38; Avvakumov, S. (2018). Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2018.7\">https://doi.org/10.1017/fms.2018.7</a>","chicago":"Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2018. <a href=\"https://doi.org/10.1017/fms.2018.7\">https://doi.org/10.1017/fms.2018.7</a>.","ieee":"A. Akopyan and S. Avvakumov, “Any cyclic quadrilateral can be inscribed in any closed convex smooth curve,” <i>Forum of Mathematics, Sigma</i>, vol. 6. Cambridge University Press, 2018.","ista":"Akopyan A, Avvakumov S. 2018. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 6, e7."},"file":[{"relation":"main_file","date_created":"2019-04-30T06:14:58Z","creator":"dernst","file_id":"6356","access_level":"open_access","date_updated":"2020-07-14T12:47:28Z","file_name":"2018_ForumMahtematics_Akopyan.pdf","file_size":249246,"content_type":"application/pdf","checksum":"5a71b24ba712a3eb2e46165a38fbc30a"}],"oa_version":"Published Version","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"ec_funded":1,"date_created":"2019-04-30T06:09:57Z","department":[{"_id":"UlWa"},{"_id":"HeEd"},{"_id":"JaMa"}],"month":"05","isi":1,"volume":6,"abstract":[{"text":"We  prove  that  any  cyclic  quadrilateral  can  be  inscribed  in  any  closed  convex C1-curve.  The smoothness condition is not required if the quadrilateral is a rectangle.","lang":"eng"}],"article_processing_charge":"No","status":"public","related_material":{"record":[{"status":"public","id":"8156","relation":"dissertation_contains"}]}},{"department":[{"_id":"LaEr"},{"_id":"JaMa"}],"article_processing_charge":"No","isi":1,"abstract":[{"lang":"eng","text":"We consider the totally asymmetric simple exclusion process in a critical scaling parametrized by a≥0, which creates a shock in the particle density of order aT−1/3, T the observation time. When starting from step initial data, we provide bounds on the limiting law which in particular imply that in the double limit lima→∞limT→∞ one recovers the product limit law and the degeneration of the correlation length observed at shocks of order 1. This result is shown to apply to a general last-passage percolation model. We also obtain bounds on the two-point functions of several airy processes."}],"volume":15,"month":"10","status":"public","citation":{"ama":"Nejjar P. Transition to shocks in TASEP and decoupling of last passage times. <i>Latin American Journal of Probability and Mathematical Statistics</i>. 2018;15(2):1311-1334. doi:<a href=\"https://doi.org/10.30757/ALEA.v15-49\">10.30757/ALEA.v15-49</a>","short":"P. Nejjar, Latin American Journal of Probability and Mathematical Statistics 15 (2018) 1311–1334.","ieee":"P. Nejjar, “Transition to shocks in TASEP and decoupling of last passage times,” <i>Latin American Journal of Probability and Mathematical Statistics</i>, vol. 15, no. 2. Instituto Nacional de Matematica Pura e Aplicada, pp. 1311–1334, 2018.","ista":"Nejjar P. 2018. Transition to shocks in TASEP and decoupling of last passage times. Latin American Journal of Probability and Mathematical Statistics. 15(2), 1311–1334.","mla":"Nejjar, Peter. “Transition to Shocks in TASEP and Decoupling of Last Passage Times.” <i>Latin American Journal of Probability and Mathematical Statistics</i>, vol. 15, no. 2, Instituto Nacional de Matematica Pura e Aplicada, 2018, pp. 1311–34, doi:<a href=\"https://doi.org/10.30757/ALEA.v15-49\">10.30757/ALEA.v15-49</a>.","apa":"Nejjar, P. (2018). Transition to shocks in TASEP and decoupling of last passage times. <i>Latin American Journal of Probability and Mathematical Statistics</i>. Instituto Nacional de Matematica Pura e Aplicada. <a href=\"https://doi.org/10.30757/ALEA.v15-49\">https://doi.org/10.30757/ALEA.v15-49</a>","chicago":"Nejjar, Peter. “Transition to Shocks in TASEP and Decoupling of Last Passage Times.” <i>Latin American Journal of Probability and Mathematical Statistics</i>. Instituto Nacional de Matematica Pura e Aplicada, 2018. <a href=\"https://doi.org/10.30757/ALEA.v15-49\">https://doi.org/10.30757/ALEA.v15-49</a>."},"oa_version":"Published Version","file":[{"file_size":394851,"file_name":"2018_ALEA_Nejjar.pdf","date_updated":"2020-07-14T12:47:46Z","content_type":"application/pdf","checksum":"2ded46aa284a836a8cbb34133a64f1cb","file_id":"5981","relation":"main_file","date_created":"2019-02-14T09:44:10Z","creator":"kschuh","access_level":"open_access"}],"article_type":"original","date_created":"2018-12-11T11:44:28Z","ec_funded":1,"type":"journal_article","scopus_import":"1","language":[{"iso":"eng"}],"date_published":"2018-10-01T00:00:00Z","publication":"Latin American Journal of Probability and Mathematical Statistics","doi":"10.30757/ALEA.v15-49","arxiv":1,"publication_identifier":{"issn":["1980-0436"]},"title":"Transition to shocks in TASEP and decoupling of last passage times","year":"2018","intvolume":"        15","issue":"2","quality_controlled":"1","publication_status":"published","publisher":"Instituto Nacional de Matematica Pura e Aplicada","_id":"70","author":[{"id":"4BF426E2-F248-11E8-B48F-1D18A9856A87","first_name":"Peter","last_name":"Nejjar","full_name":"Nejjar, Peter"}],"ddc":["510"],"has_accepted_license":"1","file_date_updated":"2020-07-14T12:47:46Z","oa":1,"page":"1311-1334","date_updated":"2025-04-14T07:27:49Z","project":[{"call_identifier":"FP7","grant_number":"338804","_id":"258DCDE6-B435-11E9-9278-68D0E5697425","name":"Random matrices, universality and disordered quantum systems"},{"call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117"}],"day":"01","external_id":{"isi":["000460475800022"],"arxiv":["1705.08836"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"},{"main_file_link":[{"url":"https://arxiv.org/abs/1804.03057","open_access":"1"}],"type":"preprint","date_published":"2018-09-13T00:00:00Z","language":[{"iso":"eng"}],"date_updated":"2026-04-08T07:25:54Z","doi":"10.48550/arXiv.1804.03057","article_number":"1804.03057","arxiv":1,"project":[{"call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117"}],"title":"Convex fair partitions into arbitrary number of pieces","day":"13","external_id":{"arxiv":["1804.03057"]},"year":"2018","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","corr_author":"1","department":[{"_id":"HeEd"},{"_id":"JaMa"}],"abstract":[{"text":"We prove that any convex body in the plane can be partitioned into m convex parts of equal areas and perimeters for any integer m≥2; this result was previously known for prime powers m=pk. We also give a higher-dimensional generalization.","lang":"eng"}],"month":"09","article_processing_charge":"No","publication_status":"published","status":"public","related_material":{"record":[{"relation":"dissertation_contains","id":"8156","status":"public"}]},"citation":{"chicago":"Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.” arXiv, 2018. <a href=\"https://doi.org/10.48550/arXiv.1804.03057\">https://doi.org/10.48550/arXiv.1804.03057</a>.","mla":"Akopyan, Arseniy, et al. <i>Convex Fair Partitions into Arbitrary Number of Pieces</i>. 1804.03057, arXiv, 2018, doi:<a href=\"https://doi.org/10.48550/arXiv.1804.03057\">10.48550/arXiv.1804.03057</a>.","apa":"Akopyan, A., Avvakumov, S., &#38; Karasev, R. (2018). Convex fair partitions into arbitrary number of pieces. arXiv. <a href=\"https://doi.org/10.48550/arXiv.1804.03057\">https://doi.org/10.48550/arXiv.1804.03057</a>","ieee":"A. Akopyan, S. Avvakumov, and R. Karasev, “Convex fair partitions into arbitrary number of pieces.” arXiv, 2018.","ista":"Akopyan A, Avvakumov S, Karasev R. 2018. Convex fair partitions into arbitrary number of pieces. 1804.03057.","short":"A. Akopyan, S. Avvakumov, R. Karasev, (2018).","ama":"Akopyan A, Avvakumov S, Karasev R. Convex fair partitions into arbitrary number of pieces. 2018. doi:<a href=\"https://doi.org/10.48550/arXiv.1804.03057\">10.48550/arXiv.1804.03057</a>"},"publisher":"arXiv","_id":"75","author":[{"orcid":"0000-0002-2548-617X","last_name":"Akopyan","full_name":"Akopyan, Arseniy","first_name":"Arseniy","id":"430D2C90-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Sergey","id":"3827DAC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7840-5062","last_name":"Avvakumov","full_name":"Avvakumov, Sergey"},{"full_name":"Karasev, Roman","last_name":"Karasev","first_name":"Roman"}],"oa_version":"Preprint","oa":1,"ec_funded":1,"date_created":"2018-12-11T11:44:30Z"}]