Central Limit Theorem for non-stationary random products of $\SL(2, \R)$ matrices
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909925088690176 |
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| author | Gorodetski, Anton Kleptsyn, Victor Monakov, Grigorii |
| author_facet | Gorodetski, Anton Kleptsyn, Victor Monakov, Grigorii |
| contents | We prove Central Limit Theorem for non-stationary random products of $SL(2, \mathbb{R})$ matrices, generalizing the classical results by Le Page and Tutubalin that were obtained in the case of iid random matrix products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12003 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Central Limit Theorem for non-stationary random products of $\SL(2, \R)$ matrices Gorodetski, Anton Kleptsyn, Victor Monakov, Grigorii Probability Dynamical Systems 60F05, 60B20, 37H15, 37A50 We prove Central Limit Theorem for non-stationary random products of $SL(2, \mathbb{R})$ matrices, generalizing the classical results by Le Page and Tutubalin that were obtained in the case of iid random matrix products. |
| title | Central Limit Theorem for non-stationary random products of $\SL(2, \R)$ matrices |
| topic | Probability Dynamical Systems 60F05, 60B20, 37H15, 37A50 |
| url | https://arxiv.org/abs/2411.12003 |