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https://hdl.handle.net/10316/112150| Title: | The dynamical Schrödinger problem in abstract metric spaces | Authors: | Monsaingeon, Léonard Tamanini, Luca Vorotnikov, Dmitry |
Keywords: | Gradient flows; Metric geometry; Optimal transport; Fisher information; Gamma-convergence | Issue Date: | 2023 | Publisher: | Elsevier | Project: | PTDC/MAT-STA/22812/2017 SchröMokaand personal grant 2020/00162/CEECIND FSMP Fondation Sciences Mathématiques de Paris public grant overseen by the French National Research Agency (ANR) as part of the Investissements d’Avenirof the Idex PSL (reference ANR-10-IDEX-0001-02 PSL) CMUC (UIDB/00324/2020, funded by the Portuguese Government through FCT/MCTES) FCT project PTDC/MAT-PUR/28686/2017 |
Serial title, monograph or event: | Advances in Mathematics | Volume: | 426 | Abstract: | In this paper we introduce the dynamical Schrödinger prob-lem, defined for a wide class of entropy and Fisher informa-tion functionals, as a geometric problem on abstract metric spaces. Under very mild assumptions we prove a generic Γ-convergence result towards the geodesic problem as the noise parameter ε ↓0. We also study the dependence of the entropic cost on the parameter ε. Some examples and applications are discussed. | URI: | https://hdl.handle.net/10316/112150 | ISSN: | 00018708 | DOI: | 10.1016/j.aim.2023.109100 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais I&D CMUC - Artigos em Revistas Internacionais |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| The dynamical Schrödinger problem in abstract metric spaces.pdf | 873.3 kB | Adobe PDF | View/Open |
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