Entropy-cost inequalities for diffusion semigroups with curvature unbounded below

DOI10.1090/S0002-9939-08-09237-XzbMath1151.58021OpenAlexW2093564296MaRDI QIDQ3522335

Feng-Yu Wang

Publication date: 1 September 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09237-x

zbMATH Keywords

curvaturelog-Sobolev inequalitydiffusion semigroupentropy-cost inequality

Mathematics Subject Classification ID

Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (1)

The Poisson equation and estimates for distances between stationary distributions of diffusions

Cites Work

• Hypercontractivity and spectral gap of symmetric diffusions with applications to the stochastic Ising models
• The radial part of Brownian motion on a manifold: A semimartingale property
• Formulae for the derivatives of heat semigroups
• Logarithmic Sobolev inequalities on noncompact Riemannian manifolds
• Hypercontractivity of Hamilton-Jacobi equations.
• Harnack inequalities for log-Sobolev functions and estimates of log-Sobolev constants
• Equivalence of dimension-free Harnack inequality and curvature condition
• Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below
• Transport inequalities, gradient estimates, entropy and Ricci curvature
• Estimation of spectral gap for elliptic operators
• Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds
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