Homogeneous Asymptotic Limits of Uniform Averages on Fuchsian Groups
Representation Theory
2020-06-02 v3 Dynamical Systems
Abstract
We show that averages on geometrically finite Fuchsian groups, when embedded via a representation into a space of matrices, have a homogeneous asymptotic limit under appropriate scaling. This generalizes some of the results of Maucourant to subgroups of infinite co-volume. The resulting disrtibution is expressed in terms of a measure considered by Mohammadi and Oh.
Keywords
Cite
@article{arxiv.1806.00576,
title = {Homogeneous Asymptotic Limits of Uniform Averages on Fuchsian Groups},
author = {Tamir Hemo},
journal= {arXiv preprint arXiv:1806.00576},
year = {2020}
}
Comments
Fixed typos and formatting, references added