The Poisson boundary of discrete subgroups of semisimple Lie groups without moment conditions
Fuente:
arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912673356054528 |
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| author | Chawla, Kunal Forghani, Behrang Frisch, Joshua Tiozzo, Giulio |
| author_facet | Chawla, Kunal Forghani, Behrang Frisch, Joshua Tiozzo, Giulio |
| contents | We show that the Poisson boundary of random walks of finite entropy on Zariski-dense discrete subgroups of semisimple Lie groups equals the Furstenberg boundary of the corresponding symmetric spaces equipped with the hitting measure, without assuming any moment condition on the random walk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Poisson boundary of discrete subgroups of semisimple Lie groups without moment conditions Chawla, Kunal Forghani, Behrang Frisch, Joshua Tiozzo, Giulio Dynamical Systems Group Theory Probability 60G50, 05C81, 22E40 We show that the Poisson boundary of random walks of finite entropy on Zariski-dense discrete subgroups of semisimple Lie groups equals the Furstenberg boundary of the corresponding symmetric spaces equipped with the hitting measure, without assuming any moment condition on the random walk. |
| title | The Poisson boundary of discrete subgroups of semisimple Lie groups without moment conditions |
| topic | Dynamical Systems Group Theory Probability 60G50, 05C81, 22E40 |
| url | https://arxiv.org/abs/2509.02500 |