Lyapunov maximizing measures for balanced pairs of matrices
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917146413498368 |
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| author | Gao, Rui |
| author_facet | Gao, Rui |
| contents | We show that every balanced pair (see Definition 1.1) of real $2\times 2$ matrices admits a unique Lyapunov maximizing measure, and the measure is always Sturmian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07340 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lyapunov maximizing measures for balanced pairs of matrices Gao, Rui Dynamical Systems We show that every balanced pair (see Definition 1.1) of real $2\times 2$ matrices admits a unique Lyapunov maximizing measure, and the measure is always Sturmian. |
| title | Lyapunov maximizing measures for balanced pairs of matrices |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2512.07340 |