Iterated invariance principle for random dynamical systems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915143600832512 |
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| author | Dragicevic, Davor Hafouta, Yeor |
| author_facet | Dragicevic, Davor Hafouta, Yeor |
| contents | We prove a weak iterated invariance principle for a large class of non-uniformly expanding random dynamical systems. In addition, we give a quenched homogenization result for fast-slow systems in the case when the fast component corresponds to a uniformly expanding random system.
Our techniques rely on the appropriate martingale decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04550 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Iterated invariance principle for random dynamical systems Dragicevic, Davor Hafouta, Yeor Dynamical Systems Probability We prove a weak iterated invariance principle for a large class of non-uniformly expanding random dynamical systems. In addition, we give a quenched homogenization result for fast-slow systems in the case when the fast component corresponds to a uniformly expanding random system. Our techniques rely on the appropriate martingale decomposition. |
| title | Iterated invariance principle for random dynamical systems |
| topic | Dynamical Systems Probability |
| url | https://arxiv.org/abs/2312.04550 |