Ratio limits and pressure function for group extensions of Gibbs Markov maps
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913937975410688 |
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| author | Gomez, Jaime Terhesiu, Dalia |
| author_facet | Gomez, Jaime Terhesiu, Dalia |
| contents | Ratio limit theorems for random walks on (various) groups are known. We obtain a generalization of this type of ratio limit for deterministic walks on certain groups driven by Gibbs Markov maps. In terms of proofs, the main difficulty comes down to the absence of a convolution structure. Also, for (finitely generated) group extensions of Gibbs Markov maps we obtain a characterization of the pressure function without a symmetry assumption. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08186 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ratio limits and pressure function for group extensions of Gibbs Markov maps Gomez, Jaime Terhesiu, Dalia Dynamical Systems Probability 37A50, 37D35 (Primary) 37A40 (Secondary) Ratio limit theorems for random walks on (various) groups are known. We obtain a generalization of this type of ratio limit for deterministic walks on certain groups driven by Gibbs Markov maps. In terms of proofs, the main difficulty comes down to the absence of a convolution structure. Also, for (finitely generated) group extensions of Gibbs Markov maps we obtain a characterization of the pressure function without a symmetry assumption. |
| title | Ratio limits and pressure function for group extensions of Gibbs Markov maps |
| topic | Dynamical Systems Probability 37A50, 37D35 (Primary) 37A40 (Secondary) |
| url | https://arxiv.org/abs/2507.08186 |