Exponential mixing of constrained random dynamical systems via controllability conditions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908631521296384 |
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| author | Mertz, Laurent Nersesyan, Vahagn Rissel, Manuel |
| author_facet | Mertz, Laurent Nersesyan, Vahagn Rissel, Manuel |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16058 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exponential mixing of constrained random dynamical systems via controllability conditions Mertz, Laurent Nersesyan, Vahagn Rissel, Manuel Optimization and Control Dynamical Systems Probability 37A25, 37A30, 49J52, 60H10, 74C05, 93B05 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. |
| title | Exponential mixing of constrained random dynamical systems via controllability conditions |
| topic | Optimization and Control Dynamical Systems Probability 37A25, 37A30, 49J52, 60H10, 74C05, 93B05 |
| url | https://arxiv.org/abs/2403.16058 |