A uniform Linnik basic lemma and entropy bounds
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866918112766459904 |
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| author | Wieser, Andreas Yang, Pengyu |
| author_facet | Wieser, Andreas Yang, Pengyu |
| contents | We prove a version of Linnik's basic lemma uniformly over the base field using theta-series and geometric invariant theory in the spirit of Khayutin's approach (Duke Math. J., 168(12), 2019). As an application, we establish entropy bounds for limits of invariant measures on homogeneous toral sets in GL(4) of biquadratic, cyclic, or dihedral type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_05380 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A uniform Linnik basic lemma and entropy bounds Wieser, Andreas Yang, Pengyu Number Theory Dynamical Systems We prove a version of Linnik's basic lemma uniformly over the base field using theta-series and geometric invariant theory in the spirit of Khayutin's approach (Duke Math. J., 168(12), 2019). As an application, we establish entropy bounds for limits of invariant measures on homogeneous toral sets in GL(4) of biquadratic, cyclic, or dihedral type. |
| title | A uniform Linnik basic lemma and entropy bounds |
| topic | Number Theory Dynamical Systems |
| url | https://arxiv.org/abs/2201.05380 |