An approximation principle for congruence subgroups II: application to the limit multiplicity problem

TL;DR

This paper extends previous work on an approximation principle for congruence subgroups and applies it to the limit multiplicity problem, broadening understanding of spectral limits in arithmetic groups.

Contribution

It introduces new applications of the approximation principle to the limit multiplicity problem, advancing the theoretical framework for analyzing spectral limits in congruence subgroups.

Findings

Generalized limit multiplicity results for congruence subgroups

Extended the approximation principle to new contexts

Provided insights into spectral behavior of arithmetic groups

Abstract

This is a sequel to arXiv:1308.3604. We study applications to limit multiplicity generalizing the results of arXiv:1208.2257.