\(W\)-entropy and Langevin deformation on Wasserstein space over Riemannian manifolds

DOI10.1007/s00440-023-01256-yarXiv1604.02596OpenAlexW4390901450MaRDI QIDQ6193767

Songzi Li, Xiang Dong Li

Publication date: 19 March 2024

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.02596

zbMATH Keywords

Ricci curvatureWasserstein space\(W\)-entropyLangevin deformation of flows

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

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