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arXiv · 2403.16058

Exponential mixing of constrained random dynamical systems via controllability conditions

Laurent Mertz·Vahagn Nersesyan·Manuel Rissel
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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.

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Laurent Mertz, Vahagn Nersesyan, Manuel Rissel. 2024-03-24. Exponential mixing of constrained random dynamical systems via controllability conditions. https://doi.org/10.1137/24m164999x

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