Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces
Dynamical Systems
2007-08-31 v1 Number Theory
Abstract
We prove effective equidistribution, with polynomial rate, for large closed orbits of semisimple groups on homogeneous spaces, under certain technical restrictions (notably, the acting group should have finite centralizer in the ambient group). The proofs make extensive use of spectral gaps, and also of a closing lemma for such actions.
Keywords
Cite
@article{arxiv.0708.4040,
title = {Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces},
author = {M. Einsiedler and G. Margulis and A. Venkatesh},
journal= {arXiv preprint arXiv:0708.4040},
year = {2007}
}