BV estimates between the quasi-stationary measure and the invariant measure for systems with small hole and additive noise
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917743092039680 |
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| author | Tenaglia, Giuseppe |
| author_facet | Tenaglia, Giuseppe |
| contents | In this paper we introduce a class of non uniformly expanding random dynamical system with additive noise and we prove a BV estimate between the stationary measure and the quasistationary measure of the system. Furthermore, we use these bounds to give precise estimates for the Lyapunov exponent of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03688 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | BV estimates between the quasi-stationary measure and the invariant measure for systems with small hole and additive noise Tenaglia, Giuseppe Dynamical Systems Probability 37H30, 37D25 In this paper we introduce a class of non uniformly expanding random dynamical system with additive noise and we prove a BV estimate between the stationary measure and the quasistationary measure of the system. Furthermore, we use these bounds to give precise estimates for the Lyapunov exponent of the system. |
| title | BV estimates between the quasi-stationary measure and the invariant measure for systems with small hole and additive noise |
| topic | Dynamical Systems Probability 37H30, 37D25 |
| url | https://arxiv.org/abs/2408.03688 |