Entropy spectrum of Lyapunov exponents for typical cocycles
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913438274420736 |
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| author | Mohammadpour, Reza |
| author_facet | Mohammadpour, Reza |
| contents | In this paper, we study the size of the level sets of all Lyapunov exponents. For typical cocycles, we establish a variational relation between the topological entropy of the level sets of Lyapunov exponents and the topological pressure of the generalized singular value function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_11574 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Entropy spectrum of Lyapunov exponents for typical cocycles Mohammadpour, Reza Dynamical Systems Mathematical Physics Classical Analysis and ODEs 28A80, 28D20, 37D35, 37H15 In this paper, we study the size of the level sets of all Lyapunov exponents. For typical cocycles, we establish a variational relation between the topological entropy of the level sets of Lyapunov exponents and the topological pressure of the generalized singular value function. |
| title | Entropy spectrum of Lyapunov exponents for typical cocycles |
| topic | Dynamical Systems Mathematical Physics Classical Analysis and ODEs 28A80, 28D20, 37D35, 37H15 |
| url | https://arxiv.org/abs/2210.11574 |