Limit theorems for rank-one Lie groups
Dynamical Systems
2012-05-23 v1
Abstract
We investigate asymptotic behaviour of averaging operators for actions of simple rank-one Lie groups. It was previously known that these averaging operators converge almost everywhere, and we establish a more precise asymptotic formula that describes their deviations from the limit.
Cite
@article{arxiv.1205.4930,
title = {Limit theorems for rank-one Lie groups},
author = {Alexander Gorodnik and Felipe A. Ramirez},
journal= {arXiv preprint arXiv:1205.4930},
year = {2012}
}