Equilibrium states by synchronization, symbolic extensions, and factors
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866910890047045632 |
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| author | Gelfert, Katrin Kwietniak, Dominik Lima, Yuri |
| author_facet | Gelfert, Katrin Kwietniak, Dominik Lima, Yuri |
| contents | We combine the two classical topological concepts, time-preserving topological factors and synchronizing time-changes of a continuous flow, and explore some of their thermodynamic consequences. Particular focus is put on equilibrium states and, in particular, measures of maximal entropy, with emphasis on geodesic flows on rank-one surfaces of nonpositive curvature and their time-preserving expansive topological factors for which we investigate the scaled geometric potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18193 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equilibrium states by synchronization, symbolic extensions, and factors Gelfert, Katrin Kwietniak, Dominik Lima, Yuri Dynamical Systems 37D40, 37B40, 37D35, 37B05 We combine the two classical topological concepts, time-preserving topological factors and synchronizing time-changes of a continuous flow, and explore some of their thermodynamic consequences. Particular focus is put on equilibrium states and, in particular, measures of maximal entropy, with emphasis on geodesic flows on rank-one surfaces of nonpositive curvature and their time-preserving expansive topological factors for which we investigate the scaled geometric potentials. |
| title | Equilibrium states by synchronization, symbolic extensions, and factors |
| topic | Dynamical Systems 37D40, 37B40, 37D35, 37B05 |
| url | https://arxiv.org/abs/2503.18193 |