Unique ergodicity for noninvertible function systems on an interval
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916451603972096 |
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| author | Hille, Sander C. Oppelmayer, Hanna Szarek, Tomasz |
| author_facet | Hille, Sander C. Oppelmayer, Hanna Szarek, Tomasz |
| contents | We study random dynamical systems of certain continuous functions on the unit interval. We use bounded variation to provide sufficient conditions for unique ergodicity of these systems. Several classes of examples are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18664 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unique ergodicity for noninvertible function systems on an interval Hille, Sander C. Oppelmayer, Hanna Szarek, Tomasz Dynamical Systems Functional Analysis Probability 37A25, 37E05, 37H12 (Primary) 26A45, 37A50, 60G53 (Secondary) We study random dynamical systems of certain continuous functions on the unit interval. We use bounded variation to provide sufficient conditions for unique ergodicity of these systems. Several classes of examples are provided. |
| title | Unique ergodicity for noninvertible function systems on an interval |
| topic | Dynamical Systems Functional Analysis Probability 37A25, 37E05, 37H12 (Primary) 26A45, 37A50, 60G53 (Secondary) |
| url | https://arxiv.org/abs/2410.18664 |