A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2020
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| Acceso en línea: | |
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| _version_ | 1866917875050086400 |
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| author | Grama, Ion Quint, Jean-François Xiao, Hui |
| author_facet | Grama, Ion Quint, Jean-François Xiao, Hui |
| contents | We prove a zero-one law for the stationary measure for algebraic sets generalizing the results of Furstenberg [13] and Guivarc'h and Le Page [20]. As an application, we establish a local limit theorem for the coefficients of random walks on the general linear group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_11593 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group Grama, Ion Quint, Jean-François Xiao, Hui Probability Group Theory Primary 60B15, 15B52, 37A30, Secondary 60B20 We prove a zero-one law for the stationary measure for algebraic sets generalizing the results of Furstenberg [13] and Guivarc'h and Le Page [20]. As an application, we establish a local limit theorem for the coefficients of random walks on the general linear group. |
| title | A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group |
| topic | Probability Group Theory Primary 60B15, 15B52, 37A30, Secondary 60B20 |
| url | https://arxiv.org/abs/2009.11593 |