论文标题
Coxeter多型和Benjamini-Schramm收敛性
Coxeter polytopes and Benjamini--Schramm convergence
论文作者
论文摘要
我们观察到，双曲线多面体的大部分体积是由其边界的一个管状邻域采集的，并使用它为算术最大反射组有限的新证明提供了新的证明，该基团最近与Fraczyk和S. hurtado进行了最近的工作。我们还更深入地研究双曲线平面中多边形的情况。
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.
