Skew-product systems over infinite interval exchange transformations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910878393171968 |
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| author | Bruin, Henk Lukina, Olga |
| author_facet | Bruin, Henk Lukina, Olga |
| contents | We study the ergodic properties (recurrence, discrepancy, diffusion coefficients and ergodicity itself) of a class of $\mathbb Z$-extensions over infinite interval exchange transformations called rotated odometers. The choice of a skew-function is motivated by the use in the study of parallel flows on a particular staircase manifold of infinite genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14079 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Skew-product systems over infinite interval exchange transformations Bruin, Henk Lukina, Olga Dynamical Systems Primary: 37C83, 37E05, 28D05, Secondary: 37B10, 37E20, 37E35 We study the ergodic properties (recurrence, discrepancy, diffusion coefficients and ergodicity itself) of a class of $\mathbb Z$-extensions over infinite interval exchange transformations called rotated odometers. The choice of a skew-function is motivated by the use in the study of parallel flows on a particular staircase manifold of infinite genus. |
| title | Skew-product systems over infinite interval exchange transformations |
| topic | Dynamical Systems Primary: 37C83, 37E05, 28D05, Secondary: 37B10, 37E20, 37E35 |
| url | https://arxiv.org/abs/2408.14079 |