Dimensional contraction in Wasserstein distance for diffusion semigroups on a Riemannian manifold

DOI10.1007/s11118-015-9460-yzbMath1390.58021arXiv1310.4264OpenAlexW2069728145WikidataQ115381409 ScholiaQ115381409MaRDI QIDQ2346362

Ivan Gentil

Publication date: 1 June 2015

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4264

zbMATH Keywords

diffusion equationsWasserstein distanceHodge-de Rham operatorcurvature-dimension bounds

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Methods of local Riemannian geometry (53B21)

Related Items (3)

Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities ⋮ Dynamical aspects of the generalized Schrödinger problem via Otto calculus -- a heuristic point of view ⋮ Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups

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