Homogeneous Asymptotic Limits of Uniform Averages on Fuchsian Groups

2018/06/02 by Hemo, Tamir
#Dynamical Systems (math.DS) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1806.00576

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.

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