Benjamini-Schramm vs Plancherel convergence
Group Theory
2024-09-23 v2 Combinatorics
Abstract
We show that Plancherel convergence is strictly stronger than Benjamini-Schramm convergence. In order to do so, we introduce two criteria for Plancherel and Benjamini-Schramm convergence in terms of counting functions of the length spectrum.
Cite
@article{arxiv.2407.18822,
title = {Benjamini-Schramm vs Plancherel convergence},
author = {Giacomo Gavelli and Claudius Kamp},
journal= {arXiv preprint arXiv:2407.18822},
year = {2024}
}