Unique ergodicity for random noninvertible maps on an interval
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916165314412544 |
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| author | Brofferio, Sara Oppelmayer, Hanna Szarek, Tomasz |
| author_facet | Brofferio, Sara Oppelmayer, Hanna Szarek, Tomasz |
| contents | In this short note, we investigate non-invertible stochastic dynamical systems on the unit interval $[0, 1]$. We provide a handy condition for unique ergodicity for systems that are injective in mean. On the other hand, we give concrete examples where unique ergodicity fails. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unique ergodicity for random noninvertible maps on an interval Brofferio, Sara Oppelmayer, Hanna Szarek, Tomasz Dynamical Systems Probability 37E05 (Primary) 60G10, 37A50, 28D20 (Secondary) In this short note, we investigate non-invertible stochastic dynamical systems on the unit interval $[0, 1]$. We provide a handy condition for unique ergodicity for systems that are injective in mean. On the other hand, we give concrete examples where unique ergodicity fails. |
| title | Unique ergodicity for random noninvertible maps on an interval |
| topic | Dynamical Systems Probability 37E05 (Primary) 60G10, 37A50, 28D20 (Secondary) |
| url | https://arxiv.org/abs/2401.12361 |