Coxeter polytopes and Benjamini--Schramm convergence
Geometric Topology
2022-09-08 v1
Abstract
We observe that a large part of the volume of a hyperbolic polyhedron is taken by a tubular neighbourhood of its boundary, and use this to give a new proof for the finiteness of arithmetic maximal reflection groups following a recent work with M. Fraczyk and S. Hurtado. We also study in more depth the case of polygons in the hyperbolic plane.
Cite
@article{arxiv.2209.03002,
title = {Coxeter polytopes and Benjamini--Schramm convergence},
author = {Jean Raimbault},
journal= {arXiv preprint arXiv:2209.03002},
year = {2022}
}