Asymptotic behaviors of multiscale multivalued stochastic systems with small noises
Probability
2025-09-30 v2
Abstract
In this paper, we consider asymptotic behaviors of multiscale multivalued stochastic systems with small noises. First of all, for general, fully coupled systems for multivalued stochastic differential equations of slow and fast motions with small noises in the slow components, we prove an averaging principle in the strong convergence sense. Moreover, a convergence rate is given in a special case. Next, for these systems, we establish the large deviation principle by the weak convergence approach. Then for a special case the rate function is explicitly characterized. Finally, we explain our results by an example.
Keywords
Cite
@article{arxiv.2306.06922,
title = {Asymptotic behaviors of multiscale multivalued stochastic systems with small noises},
author = {Huijie Qiao},
journal= {arXiv preprint arXiv:2306.06922},
year = {2025}
}
Comments
45 pages