Weak Poincar\'e Inequalities for Convergence Rate of Degenerate Diffusion Processes
Probability
2017-03-16 v1
Abstract
For a contraction -semigroup on a separable Hilbert space, the decay rate is estimated by using the weak Poincar\'e inequalities for the symmetric and anti-symmetric part of the generator. As applications, non-exponential convergence rate is characterized for a class of degenerate diffusion processes, so that the study of hypocoercivity is extended. Concrete examples are presented.
Keywords
Cite
@article{arxiv.1703.04821,
title = {Weak Poincar\'e Inequalities for Convergence Rate of Degenerate Diffusion Processes},
author = {Martin Grothaus and Feng-Yu Wang},
journal= {arXiv preprint arXiv:1703.04821},
year = {2017}
}