Variational formulas for the exit time of Hunt processes generated by semi-Dirichlet forms
Probability
2021-11-29 v2
Abstract
Variational formulas for the Laplace transform of the exit time from an open set of a Hunt process generated by a regular lower bounded semi-Dirichlet form are established. While for symmetric Markov processes, variational formulas are derived for the exponential moments of the exit time. As applications, we provide some comparison theorems and quantitative relations of the exponential moments and Poincar\'e inequalities.
Keywords
Cite
@article{arxiv.2011.04334,
title = {Variational formulas for the exit time of Hunt processes generated by semi-Dirichlet forms},
author = {Lu-Jing Huang and Kyung-Youn Kim and Yong-Hua Mao and Tao Wang},
journal= {arXiv preprint arXiv:2011.04334},
year = {2021}
}