The orbital counting problem for hyperconvex representations
Group Theory
2014-07-15 v2 Dynamical Systems
Abstract
We give a precise counting result on the symmetric space of a noncompact real algebraic semisimple group for a class of discrete subgroups of that contains, for example, representations of a surface group on induced by choosing two points on the Teichm\"uller space of the surface; and representations on the Hitchin component of We also prove a mixing property for the Weyl chamber flow in this setting.
Cite
@article{arxiv.1203.0280,
title = {The orbital counting problem for hyperconvex representations},
author = {Andres Sambarino},
journal= {arXiv preprint arXiv:1203.0280},
year = {2014}
}