Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck type operators
Functional Analysis
2019-06-27 v1 Analysis of PDEs
Probability
Abstract
We study a generalized curvature dimension inequality which is suitable for subelliptic Ornstein-Uhlenbeck type operators and deduce convergence to equilibrium in the and entropic sense. The main difficulty is that the operators we consider may not be symmetric. Our results apply in particular to Ornstein-Uhlenbeck operators on two-step Carnot groups.
Keywords
Cite
@article{arxiv.1906.10828,
title = {Convergence to equilibrium for hypoelliptic non-symmetric Ornstein-Uhlenbeck type operators},
author = {Fabrice Baudoin and Michel Bonnefont and Li Chen},
journal= {arXiv preprint arXiv:1906.10828},
year = {2019}
}