Log-Sobolev inequalities: different roles of Ric and Hess

DOI10.1214/08-AOP444zbMath1187.60061arXiv0712.3143OpenAlexW2066009214MaRDI QIDQ838010

Feng-Yu Wang

Publication date: 21 August 2009

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3143

zbMATH Keywords

Riemannian manifoldRicci curvaturediffusion semigroupLog-Sobolev inequality

Mathematics Subject Classification ID

Diffusion processes (60J60) Boundary value problems on manifolds (58J32)

Related Items

Global Optimization via Schrödinger–Föllmer Diffusion, Logarithmic Sobolev inequalities for fractional diffusion, Exponential contraction in Wasserstein distances for diffusion semigroups with negative curvature, Limit theorems in Wasserstein distance for empirical measures of diffusion processes on Riemannian manifolds, Modified curvatures on manifolds with boundary and applications, Intertwining relations for diffusions in manifolds and applications to functional inequalities

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