Asymptotic stability for non-equicontinuous Markov semigroups
Probability
2025-03-05 v2
Abstract
We formulate a new criterion of the asymptotic stability for some non-equicontinuous Markov semigroups, the so-called eventually continuous semigroups. In particular, we provide a non-equicontinuous Markov semigroup example with essential randomness, which is asymptotically stable.
Cite
@article{arxiv.2302.11782,
title = {Asymptotic stability for non-equicontinuous Markov semigroups},
author = {Fuzhou Gong and Yong Liu and Yuan Liu and Ziyu Liu},
journal= {arXiv preprint arXiv:2302.11782},
year = {2025}
}