Effective equidistribution and property tau
Number Theory
2019-06-27 v3 Dynamical Systems
Abstract
We prove a quantitative equidistribution statement for adelic homogeneous subsets whose stabilizer is maximal and semisimple. Fixing the ambient space, the statement is uniform in all parameters. We explain how this implies certain equidistribution theorems which, even in a qualitative form, are not accessible to measure-classification theorems. As another application, we describe another proof of property tau for arithmetic groups.
Cite
@article{arxiv.1503.05884,
title = {Effective equidistribution and property tau},
author = {Manfred Einsiedler and Gregory Margulis and Amir Mohammadi and Akshay Venkatesh},
journal= {arXiv preprint arXiv:1503.05884},
year = {2019}
}
Comments
Final version, to appear in JAMS