Equivalent Semigroup Properties for Curvature-Dimension Condition
Probability
2010-12-30 v1
Abstract
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As applications, the first eigenvalue, the log-Harnack inequality, the heat kernel estimates, and the HWI inequality are derived by using the curvature-dimension condition. The transportation inequality for diffusion semigroups is also investigated.
Cite
@article{arxiv.1012.5686,
title = {Equivalent Semigroup Properties for Curvature-Dimension Condition},
author = {Feng-Yu Wang},
journal= {arXiv preprint arXiv:1012.5686},
year = {2010}
}
Comments
16 pages