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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.20627 |
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| _version_ | 1866915831826350080 |
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| author | Kao, Lien-Yung Martone, Giuseppe |
| author_facet | Kao, Lien-Yung Martone, Giuseppe |
| contents | We introduce a correlation number for two strictly positive, locally Hölder continuous, independent potentials with strong entropy gaps at infinity on a topologically mixing countable state Markov shift with BIP. We define in this way a correlation number for pairs of cusped Hitchin representations. Furthermore, we explore the connection between the correlation number and the Manhattan curve, along with several rigidity properties of this correlation number. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20627 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Correlation Number for Potentials with Entropy Gaps and Cusped Hitchin Representations Kao, Lien-Yung Martone, Giuseppe Dynamical Systems Geometric Topology We introduce a correlation number for two strictly positive, locally Hölder continuous, independent potentials with strong entropy gaps at infinity on a topologically mixing countable state Markov shift with BIP. We define in this way a correlation number for pairs of cusped Hitchin representations. Furthermore, we explore the connection between the correlation number and the Manhattan curve, along with several rigidity properties of this correlation number. |
| title | Correlation Number for Potentials with Entropy Gaps and Cusped Hitchin Representations |
| topic | Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2412.20627 |