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Benjamini–Schramm vs. Plancherel convergence
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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.
European Mathematical Society - EMS - Publishing House GmbH
Title: Benjamini–Schramm vs. Plancherel convergence
Description:
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.
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