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Benjamini-Schramm and spectral convergence II. The non-homogeneous case (2407.17264v1)
Published 24 Jul 2024 in math.SP, math.AT, and math.NT
Abstract: The equivalence of spectral convergence and Benjamini-Schramm convergence is extended from homogeneous spaces to spaces which are compact modulo isometry group. The equivalence is proven under the condition of a uniform discreteness property. It is open, which implications hold without this condition.
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