Benjamini-Schramm vs Plancherel convergence

Fuente: arXiv
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Main Authors: Gavelli, Giacomo, Kamp, Claudius
Format: Preprint
Published: 2024
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author Gavelli, Giacomo
Kamp, Claudius
author_facet Gavelli, Giacomo
Kamp, Claudius
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2407_18822
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Benjamini-Schramm vs Plancherel convergence
Gavelli, Giacomo
Kamp, Claudius
Group Theory
Combinatorics
22E40 (Primary), 11F72 (Secondary)
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.
title Benjamini-Schramm vs Plancherel convergence
topic Group Theory
Combinatorics
22E40 (Primary), 11F72 (Secondary)
url https://arxiv.org/abs/2407.18822