Benjamini–Schramm vs. Plancherel convergence
Giacomo Gavelli, Claudius Kamp · Documenta Mathematica · 2025
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.