Equilibrium States for Piecewise Weakly Convex Interval Maps
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911480173035520 |
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| author | Arévalo-Hurtado, Nicolás |
| author_facet | Arévalo-Hurtado, Nicolás |
| contents | We prove the existence of equilibrium states for geometric potentials in a class of piecewise weakly convex interval maps. This class includes systems with indifferent fixed points and non-Markov partitions. Under additional hypotheses we also obtain uniqueness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06423 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equilibrium States for Piecewise Weakly Convex Interval Maps Arévalo-Hurtado, Nicolás Dynamical Systems Primary: 37D35, Secondary:37D25, 37E05 We prove the existence of equilibrium states for geometric potentials in a class of piecewise weakly convex interval maps. This class includes systems with indifferent fixed points and non-Markov partitions. Under additional hypotheses we also obtain uniqueness. |
| title | Equilibrium States for Piecewise Weakly Convex Interval Maps |
| topic | Dynamical Systems Primary: 37D35, Secondary:37D25, 37E05 |
| url | https://arxiv.org/abs/2412.06423 |