Quantitative infinite mixing for non-compact skew products
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929216137723904 |
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| author | Giulietti, Paolo Hammerlindl, Andy Ravotti, Davide |
| author_facet | Giulietti, Paolo Hammerlindl, Andy Ravotti, Davide |
| contents | We consider skew products over subshifts of finite type in which the fibers are copies of the real line, and we study their mixing properties with respect to any infinite invariant measure given by the product of a Gibbs measure on the base and Lebesgue measure on the fibers. Assuming that the system is accessible, we prove a quantitative version of Krickeberg mixing for a class of observables which is dense in the space of continuous functions vanishing at infinity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10776 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantitative infinite mixing for non-compact skew products Giulietti, Paolo Hammerlindl, Andy Ravotti, Davide Dynamical Systems We consider skew products over subshifts of finite type in which the fibers are copies of the real line, and we study their mixing properties with respect to any infinite invariant measure given by the product of a Gibbs measure on the base and Lebesgue measure on the fibers. Assuming that the system is accessible, we prove a quantitative version of Krickeberg mixing for a class of observables which is dense in the space of continuous functions vanishing at infinity. |
| title | Quantitative infinite mixing for non-compact skew products |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2401.10776 |