Random Markov property for random walks in random environments
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912034766979072 |
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| author | Allasia, Julien Baldasso, Rangel Blondel, Oriane Teixeira, Augusto |
| author_facet | Allasia, Julien Baldasso, Rangel Blondel, Oriane Teixeira, Augusto |
| contents | We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ultimately to prove limit theorems. The criterion involves the construction of a random field built from the environment, that has to satisfy a certain random Markov property along with some mixing estimates. We apply this criterion to correlated environments such as Boolean percolation and renewal chains featuring polynomial decay of correlations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12515 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Random Markov property for random walks in random environments Allasia, Julien Baldasso, Rangel Blondel, Oriane Teixeira, Augusto Probability Primary: 60K37, 60F15, 60F05, Secondary: 82B41, 60K10 We consider random walks in dynamic random environments and propose a criterion which, if satisfied, allows to decompose the random walk trajectory into i.i.d. increments, and ultimately to prove limit theorems. The criterion involves the construction of a random field built from the environment, that has to satisfy a certain random Markov property along with some mixing estimates. We apply this criterion to correlated environments such as Boolean percolation and renewal chains featuring polynomial decay of correlations. |
| title | Random Markov property for random walks in random environments |
| topic | Probability Primary: 60K37, 60F15, 60F05, Secondary: 82B41, 60K10 |
| url | https://arxiv.org/abs/2409.12515 |