Thermodynamic formalism for piecewise expanding maps in finite dimension
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914817361575936 |
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| author | Baladi, Viviane Castorrini, Roberto |
| author_facet | Baladi, Viviane Castorrini, Roberto |
| contents | We study weighted transfer operators associated to a piecewise expanding map on a compact manifold, and a piecewise Holder weight, acting on Sobolev spaces. We bound the essential spectral radius in terms of a topological pressure for a subadditive potential. Under a new small boundary pressure condition, we improve the estimate by establishing a variational principle for piecewise expanding maps and subadditive potentials. Version v2 is the electronic copy of the version to appear in DCDS |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_05910 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Thermodynamic formalism for piecewise expanding maps in finite dimension Baladi, Viviane Castorrini, Roberto Dynamical Systems Chaotic Dynamics 37C30, 37C83 We study weighted transfer operators associated to a piecewise expanding map on a compact manifold, and a piecewise Holder weight, acting on Sobolev spaces. We bound the essential spectral radius in terms of a topological pressure for a subadditive potential. Under a new small boundary pressure condition, we improve the estimate by establishing a variational principle for piecewise expanding maps and subadditive potentials. Version v2 is the electronic copy of the version to appear in DCDS |
| title | Thermodynamic formalism for piecewise expanding maps in finite dimension |
| topic | Dynamical Systems Chaotic Dynamics 37C30, 37C83 |
| url | https://arxiv.org/abs/2304.05910 |