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Benjamini–Schramm vs. Plancherel convergence

  • Giacomo Gavelli

    Universität Tübingen, Germany
    ORCID

  • Claudius Kamp

    Gelsenkirchen, Germany
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This article is published open access.

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 this article

Giacomo Gavelli, Claudius Kamp, Benjamini–Schramm vs. Plancherel convergence. Doc. Math. (2025), published online first

DOI 10.4171/DM/1023