Effective density of non-degenerate random walks on homogeneous spaces
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913194974380032 |
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| author | Kim, Wooyeon Kogler, Constantin |
| author_facet | Kim, Wooyeon Kogler, Constantin |
| contents | We prove effective density of random walks on homogeneous spaces, assuming that the underlying measure is supported on matrices generating a dense subgroup and having algebraic entries. The main novelty is an argument passing from high dimension to effective equidistribution in the setting of random walks on homogeneous spaces, exploiting spectral gap of the associated convolution operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_09499 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Effective density of non-degenerate random walks on homogeneous spaces Kim, Wooyeon Kogler, Constantin Probability Dynamical Systems Group Theory We prove effective density of random walks on homogeneous spaces, assuming that the underlying measure is supported on matrices generating a dense subgroup and having algebraic entries. The main novelty is an argument passing from high dimension to effective equidistribution in the setting of random walks on homogeneous spaces, exploiting spectral gap of the associated convolution operator. |
| title | Effective density of non-degenerate random walks on homogeneous spaces |
| topic | Probability Dynamical Systems Group Theory |
| url | https://arxiv.org/abs/2303.09499 |