Effective equidistribution for some one parameter unipotent flows
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2022
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914051489005568 |
|---|---|
| author | Lindenstrauss, Elon Mohammadi, Amir Wang, Zhiren |
| author_facet | Lindenstrauss, Elon Mohammadi, Amir Wang, Zhiren |
| contents | We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of $\operatorname{SL}_2(\mathbb R)$ in arithmetic quotients of $\operatorname{SL}_2(\mathbb C)$ and $\operatorname{SL}_2(\mathbb R)\times\operatorname{SL}_2(\mathbb R)$.
The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_11099 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Effective equidistribution for some one parameter unipotent flows Lindenstrauss, Elon Mohammadi, Amir Wang, Zhiren Number Theory Dynamical Systems Geometric Topology We prove effective equidistribution theorems, with polynomial error rate, for orbits of the unipotent subgroups of $\operatorname{SL}_2(\mathbb R)$ in arithmetic quotients of $\operatorname{SL}_2(\mathbb C)$ and $\operatorname{SL}_2(\mathbb R)\times\operatorname{SL}_2(\mathbb R)$. The proof is based on the use of a Margulis function, tools from incidence geometry, and the spectral gap of the ambient space. |
| title | Effective equidistribution for some one parameter unipotent flows |
| topic | Number Theory Dynamical Systems Geometric Topology |
| url | https://arxiv.org/abs/2211.11099 |