A version of Oseledets for proximal random dynamical System on the circle
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918202652491776 |
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| author | Bezerra, Jamerson Salcedo, Graccyela |
| author_facet | Bezerra, Jamerson Salcedo, Graccyela |
| contents | We study proximal random dynamical systems of homeomorphisms of the circle without a common fixed point. We prove the existence of two random points that govern the behavior of the forward and backward orbits of the system. Assuming the differentiability of the maps, we characterize these random points in terms of the extremal Lyapunov exponents of the random dynamical system. As an application, we prove the exactness of the stationary measure in this setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16026 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A version of Oseledets for proximal random dynamical System on the circle Bezerra, Jamerson Salcedo, Graccyela Dynamical Systems We study proximal random dynamical systems of homeomorphisms of the circle without a common fixed point. We prove the existence of two random points that govern the behavior of the forward and backward orbits of the system. Assuming the differentiability of the maps, we characterize these random points in terms of the extremal Lyapunov exponents of the random dynamical system. As an application, we prove the exactness of the stationary measure in this setting. |
| title | A version of Oseledets for proximal random dynamical System on the circle |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2503.16026 |