Equilibrium States for Non-Uniformly Expanding Skew Products
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916487367753728 |
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| author | Hemenway, Gregory |
| author_facet | Hemenway, Gregory |
| contents | We study equilibrium states for non-uniformly expanding skew products, and show how a family of fiberwise transfer operators can be used to define the conditional measures along fibers of the product. We prove that the pushforward of the equilibrium state onto the base of the product is itself an equilibrium state for a Hölder potential defined via these fiberwise transfer operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02529 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Equilibrium States for Non-Uniformly Expanding Skew Products Hemenway, Gregory Dynamical Systems We study equilibrium states for non-uniformly expanding skew products, and show how a family of fiberwise transfer operators can be used to define the conditional measures along fibers of the product. We prove that the pushforward of the equilibrium state onto the base of the product is itself an equilibrium state for a Hölder potential defined via these fiberwise transfer operators. |
| title | Equilibrium States for Non-Uniformly Expanding Skew Products |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2304.02529 |