Exponential mixing of constrained random dynamical systems via controllability conditions
Optimization and Control
2025-11-07 v1 Dynamical Systems
Probability
Abstract
We provide deterministic controllability conditions that imply exponential mixing properties for randomly forced constrained dynamical systems with possibly unbounded state space. As an application, new ergodicity results are obtained for non-smooth models in elasto-plasticity driven by various types of noise, including white noise. It is thereby illustrated how tools from control theory can be utilized to tackle regularity issues that commonly arise in the qualitative study of constrained systems.
Cite
@article{arxiv.2403.16058,
title = {Exponential mixing of constrained random dynamical systems via controllability conditions},
author = {Laurent Mertz and Vahagn Nersesyan and Manuel Rissel},
journal= {arXiv preprint arXiv:2403.16058},
year = {2025}
}
Comments
27 pages, 1 figure