[{"publication_status":"epub_ahead","publisher":"Springer Nature","department":[{"_id":"JuFi"}],"year":"2024","acknowledgement":"NC has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No 948819).\r\nFM is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the SPP 2265 Random Geometric Systems. FM has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC 2044 -390685587, Mathematics Münster: Dynamics–Geometry–Structure. FM has been funded by the Max Planck Institute for Mathematics in the Sciences.","date_created":"2024-01-14T23:00:57Z","date_updated":"2024-01-17T11:18:34Z","author":[{"id":"fea1b376-906f-11eb-847d-b2c0cf46455b","first_name":"Nicolas","last_name":"Clozeau","full_name":"Clozeau, Nicolas"},{"full_name":"Mattesini, Francesco","last_name":"Mattesini","first_name":"Francesco"}],"license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"quality_controlled":"1","project":[{"grant_number":"948819","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","call_identifier":"H2020","name":"Bridging Scales in Random Materials"}],"external_id":{"arxiv":["2303.00353"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png"},"main_file_link":[{"url":"https://doi.org/10.1007/s00440-023-01254-0","open_access":"1"}],"oa":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00440-023-01254-0","month":"01","publication_identifier":{"eissn":["1432-2064"],"issn":["0178-8051"]},"ddc":["510"],"status":"public","title":"Annealed quantitative estimates for the quadratic 2D-discrete random matching problem","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"14797","oa_version":"Published Version","type":"journal_article","abstract":[{"text":"We study a random matching problem on closed compact 2 -dimensional Riemannian manifolds (with respect to the squared Riemannian distance), with samples of random points whose common law is absolutely continuous with respect to the volume measure with strictly positive and bounded density. We show that given two sequences of numbers n and m=m(n) of points, asymptotically equivalent as n goes to infinity, the optimal transport plan between the two empirical measures μn and νm is quantitatively well-approximated by (Id,exp(∇hn))#μn where hn solves a linear elliptic PDE obtained by a regularized first-order linearization of the Monge-Ampère equation. This is obtained in the case of samples of correlated random points for which a stretched exponential decay of the α -mixing coefficient holds and for a class of discrete-time Markov chains having a unique absolutely continuous invariant measure with respect to the volume measure.","lang":"eng"}],"article_type":"original","publication":"Probability Theory and Related Fields","citation":{"ama":"Clozeau N, Mattesini F. Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields. 2024. doi:10.1007/s00440-023-01254-0","ista":"Clozeau N, Mattesini F. 2024. Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields.","apa":"Clozeau, N., & Mattesini, F. (2024). Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-023-01254-0","ieee":"N. Clozeau and F. Mattesini, “Annealed quantitative estimates for the quadratic 2D-discrete random matching problem,” Probability Theory and Related Fields. Springer Nature, 2024.","mla":"Clozeau, Nicolas, and Francesco Mattesini. “Annealed Quantitative Estimates for the Quadratic 2D-Discrete Random Matching Problem.” Probability Theory and Related Fields, Springer Nature, 2024, doi:10.1007/s00440-023-01254-0.","short":"N. Clozeau, F. Mattesini, Probability Theory and Related Fields (2024).","chicago":"Clozeau, Nicolas, and Francesco Mattesini. “Annealed Quantitative Estimates for the Quadratic 2D-Discrete Random Matching Problem.” Probability Theory and Related Fields. Springer Nature, 2024. https://doi.org/10.1007/s00440-023-01254-0."},"date_published":"2024-01-04T00:00:00Z","scopus_import":"1","day":"04","has_accepted_license":"1","article_processing_charge":"Yes (in subscription journal)"},{"_id":"14884","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":" 34","title":"Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions","status":"public","oa_version":"Preprint","type":"journal_article","issue":"2","abstract":[{"text":"We perform a stochastic homogenization analysis for composite materials exhibiting a random microstructure. Under the assumptions of stationarity and ergodicity, we characterize the Gamma-limit of a micromagnetic energy functional defined on magnetizations taking value in the unit sphere and including both symmetric and antisymmetric exchange contributions. This Gamma-limit corresponds to a micromagnetic energy functional with homogeneous coefficients. We provide explicit formulas for the effective magnetic properties of the composite material in terms of homogenization correctors. Additionally, the variational analysis of the two exchange energy terms is performed in the more general setting of functionals defined on manifold-valued maps with Sobolev regularity, in the case in which the target manifold is a bounded, orientable smooth surface with tubular neighborhood of uniform thickness. Eventually, we present an explicit characterization of minimizers of the effective exchange in the case of magnetic multilayers, providing quantitative evidence of Dzyaloshinskii’s predictions on the emergence of helical structures in composite ferromagnetic materials with stochastic microstructure.","lang":"eng"}],"citation":{"chicago":"Davoli, Elisa, Lorenza D’Elia, and Jonas Ingmanns. “Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions.” Journal of Nonlinear Science. Springer Nature, 2024. https://doi.org/10.1007/s00332-023-10005-3.","mla":"Davoli, Elisa, et al. “Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions.” Journal of Nonlinear Science, vol. 34, no. 2, 30, Springer Nature, 2024, doi:10.1007/s00332-023-10005-3.","short":"E. Davoli, L. D’Elia, J. Ingmanns, Journal of Nonlinear Science 34 (2024).","ista":"Davoli E, D’Elia L, Ingmanns J. 2024. Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. 34(2), 30.","apa":"Davoli, E., D’Elia, L., & Ingmanns, J. (2024). Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. Springer Nature. https://doi.org/10.1007/s00332-023-10005-3","ieee":"E. Davoli, L. D’Elia, and J. Ingmanns, “Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions,” Journal of Nonlinear Science, vol. 34, no. 2. Springer Nature, 2024.","ama":"Davoli E, D’Elia L, Ingmanns J. Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. 2024;34(2). doi:10.1007/s00332-023-10005-3"},"publication":"Journal of Nonlinear Science","article_type":"original","date_published":"2024-01-23T00:00:00Z","scopus_import":"1","article_processing_charge":"No","day":"23","acknowledgement":"All authors acknowledge support of the Austrian Science Fund (FWF) through the SFB project F65. The research of E. Davoli and L. D’Elia has additionally been supported by the FWF through grants V662, Y1292, and P35359, as well as from OeAD through the WTZ grant CZ09/2023.","year":"2024","department":[{"_id":"JuFi"}],"publisher":"Springer Nature","publication_status":"epub_ahead","author":[{"first_name":"Elisa","last_name":"Davoli","full_name":"Davoli, Elisa"},{"last_name":"D’Elia","first_name":"Lorenza","full_name":"D’Elia, Lorenza"},{"last_name":"Ingmanns","first_name":"Jonas","id":"71523d30-15b2-11ec-abd3-f80aa909d6b0","full_name":"Ingmanns, Jonas"}],"volume":34,"date_updated":"2024-02-05T08:54:44Z","date_created":"2024-01-28T23:01:42Z","article_number":"30","external_id":{"arxiv":["2306.05151"]},"oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.05151","open_access":"1"}],"project":[{"name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2"}],"quality_controlled":"1","doi":"10.1007/s00332-023-10005-3","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1432-1467"],"issn":["0938-8974"]},"month":"01"},{"oa_version":"Preprint","title":"The critical variational setting for stochastic evolution equations","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"12485","abstract":[{"text":"In this paper we introduce the critical variational setting for parabolic stochastic evolution equations of quasi- or semi-linear type. Our results improve many of the abstract results in the classical variational setting. In particular, we are able to replace the usual weak or local monotonicity condition by a more flexible local Lipschitz condition. Moreover, the usual growth conditions on the multiplicative noise are weakened considerably. Our new setting provides general conditions under which local and global existence and uniqueness hold. Moreover, we prove continuous dependence on the initial data. We show that many classical SPDEs, which could not be covered by the classical variational setting, do fit in the critical variational setting. In particular, this is the case for the Cahn-Hilliard equations, tamed Navier-Stokes equations, and Allen-Cahn equation.","lang":"eng"}],"type":"journal_article","date_published":"2024-02-02T00:00:00Z","article_type":"original","citation":{"ama":"Agresti A, Veraar M. The critical variational setting for stochastic evolution equations. Probability Theory and Related Fields. 2024. doi:10.1007/s00440-023-01249-x","ista":"Agresti A, Veraar M. 2024. The critical variational setting for stochastic evolution equations. Probability Theory and Related Fields.","apa":"Agresti, A., & Veraar, M. (2024). The critical variational setting for stochastic evolution equations. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-023-01249-x","ieee":"A. Agresti and M. Veraar, “The critical variational setting for stochastic evolution equations,” Probability Theory and Related Fields. Springer Nature, 2024.","mla":"Agresti, Antonio, and Mark Veraar. “The Critical Variational Setting for Stochastic Evolution Equations.” Probability Theory and Related Fields, Springer Nature, 2024, doi:10.1007/s00440-023-01249-x.","short":"A. Agresti, M. Veraar, Probability Theory and Related Fields (2024).","chicago":"Agresti, Antonio, and Mark Veraar. “The Critical Variational Setting for Stochastic Evolution Equations.” Probability Theory and Related Fields. Springer Nature, 2024. https://doi.org/10.1007/s00440-023-01249-x."},"publication":"Probability Theory and Related Fields","article_processing_charge":"No","day":"02","scopus_import":"1","date_created":"2023-02-02T10:45:15Z","date_updated":"2024-02-26T09:39:07Z","author":[{"orcid":"0000-0002-9573-2962","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","last_name":"Agresti","first_name":"Antonio","full_name":"Agresti, Antonio"},{"full_name":"Veraar, Mark","first_name":"Mark","last_name":"Veraar"}],"publisher":"Springer Nature","department":[{"_id":"JuFi"}],"publication_status":"epub_ahead","acknowledgement":"The first author has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948819) . The second author is supported by the VICI subsidy VI.C.212.027 of the Netherlands Organisation for Scientific Research (NWO).","year":"2024","ec_funded":1,"language":[{"iso":"eng"}],"doi":"10.1007/s00440-023-01249-x","project":[{"grant_number":"948819","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","call_identifier":"H2020","name":"Bridging Scales in Random Materials"}],"quality_controlled":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00440-023-01249-x"}],"oa":1,"external_id":{"arxiv":["2206.00230"]},"publication_identifier":{"eissn":["1432-2064"],"issn":["0178-8051"]},"month":"02"},{"type":"journal_article","abstract":[{"lang":"eng","text":"The paper is devoted to the analysis of the global well-posedness and the interior regularity of the 2D Navier–Stokes equations with inhomogeneous stochastic boundary conditions. The noise, white in time and coloured in space, can be interpreted as the physical law describing the driving mechanism on the atmosphere–ocean interface, i.e. as a balance of the shear stress of the ocean and the horizontal wind force."}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"15098","status":"public","title":"Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions","oa_version":"Published Version","scopus_import":"1","day":"27","article_processing_charge":"Yes (via OA deal)","publication":"Mathematische Annalen","citation":{"chicago":"Agresti, Antonio, and Eliseo Luongo. “Global Well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions.” Mathematische Annalen. Springer Nature, 2024. https://doi.org/10.1007/s00208-024-02812-0.","short":"A. Agresti, E. Luongo, Mathematische Annalen (2024).","mla":"Agresti, Antonio, and Eliseo Luongo. “Global Well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions.” Mathematische Annalen, Springer Nature, 2024, doi:10.1007/s00208-024-02812-0.","apa":"Agresti, A., & Luongo, E. (2024). Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-024-02812-0","ieee":"A. Agresti and E. Luongo, “Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions,” Mathematische Annalen. Springer Nature, 2024.","ista":"Agresti A, Luongo E. 2024. Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen.","ama":"Agresti A, Luongo E. Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen. 2024. doi:10.1007/s00208-024-02812-0"},"article_type":"original","date_published":"2024-02-27T00:00:00Z","ec_funded":1,"year":"2024","acknowledgement":"The authors thank Professor Franco Flandoli for useful discussions and valuable insight into the subject. In particular, A.A. would like to thank professor Franco Flandoli for hosting and financially contributing to his research visit at Scuola Normale di Pisa in January 2023, where this work started. E.L. would like to express sincere gratitude to Professor Marco Fuhrman for igniting his interest in this particular field of research. E.L. want to thank Professor Matthias Hieber and Dr. Martin Saal for useful discussions. Finally, the authors thank the anonymous referee for helpful comments which improved the paper from its initial version.Open access funding provided by Scuola Normale Superiore within the CRUI-CARE Agreement. A. Agresti has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 948819).","publication_status":"epub_ahead","publisher":"Springer Nature","department":[{"_id":"JuFi"}],"author":[{"full_name":"Agresti, Antonio","first_name":"Antonio","last_name":"Agresti","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","orcid":"0000-0002-9573-2962"},{"full_name":"Luongo, Eliseo","first_name":"Eliseo","last_name":"Luongo"}],"date_updated":"2024-03-13T12:20:23Z","date_created":"2024-03-10T23:00:54Z","month":"02","publication_identifier":{"eissn":["1432-1807"],"issn":["0025-5831"]},"external_id":{"arxiv":["2306.11081"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.1007/s00208-024-02812-0"}],"oa":1,"quality_controlled":"1","project":[{"name":"Bridging Scales in Random Materials","call_identifier":"H2020","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","grant_number":"948819"}],"doi":"10.1007/s00208-024-02812-0","language":[{"iso":"eng"}]},{"author":[{"full_name":"Agresti, Antonio","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","orcid":"0000-0002-9573-2962","first_name":"Antonio","last_name":"Agresti"},{"first_name":"Mark","last_name":"Veraar","full_name":"Veraar, Mark"}],"date_created":"2024-03-17T23:00:58Z","date_updated":"2024-03-19T08:14:17Z","volume":60,"year":"2024","acknowledgement":"The first author has been partially supported by the Nachwuchsring – Network for the promotion of young scientists – at TU Kaiserslautern. The second author is supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO). The authors thank the anonymous referees and Max Sauerbrey for careful reading and helpful suggestions.","publication_status":"published","publisher":"Institute of Mathematical Statistics","department":[{"_id":"JuFi"}],"month":"02","publication_identifier":{"issn":["0246-0203"]},"doi":"10.1214/22-AIHP1333","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.01274"}],"oa":1,"external_id":{"arxiv":["2106.01274"]},"quality_controlled":"1","abstract":[{"lang":"eng","text":"In this paper we consider an SPDE where the leading term is a second order operator with periodic boundary conditions, coefficients which are measurable in (t,ω) , and Hölder continuous in space. Assuming stochastic parabolicity conditions, we prove Lp((0,T)×Ω,tκdt;Hσ,q(Td)) -estimates. The main novelty is that we do not require p=q . Moreover, we allow arbitrary σ∈R and weights in time. Such mixed regularity estimates play a crucial role in applications to nonlinear SPDEs which is clear from our previous work. To prove our main results we develop a general perturbation theory for SPDEs. Moreover, we prove a new result on pointwise multiplication in spaces with fractional smoothness."}],"issue":"1","type":"journal_article","oa_version":"Preprint","_id":"15119","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","status":"public","title":"Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions","intvolume":" 60","day":"01","article_processing_charge":"No","scopus_import":"1","date_published":"2024-02-01T00:00:00Z","publication":"Annales de l'institut Henri Poincare Probability and Statistics","citation":{"mla":"Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” Annales de l’institut Henri Poincare Probability and Statistics, vol. 60, no. 1, Institute of Mathematical Statistics, 2024, pp. 413–30, doi:10.1214/22-AIHP1333.","short":"A. Agresti, M. Veraar, Annales de l’institut Henri Poincare Probability and Statistics 60 (2024) 413–430.","chicago":"Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” Annales de l’institut Henri Poincare Probability and Statistics. Institute of Mathematical Statistics, 2024. https://doi.org/10.1214/22-AIHP1333.","ama":"Agresti A, Veraar M. Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’institut Henri Poincare Probability and Statistics. 2024;60(1):413-430. doi:10.1214/22-AIHP1333","ista":"Agresti A, Veraar M. 2024. Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’institut Henri Poincare Probability and Statistics. 60(1), 413–430.","apa":"Agresti, A., & Veraar, M. (2024). Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’institut Henri Poincare Probability and Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/22-AIHP1333","ieee":"A. Agresti and M. Veraar, “Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions,” Annales de l’institut Henri Poincare Probability and Statistics, vol. 60, no. 1. Institute of Mathematical Statistics, pp. 413–430, 2024."},"article_type":"original","page":"413-430"}]