Mathematics > Spectral Theory
arXiv:2606.17187 (math)
[Submitted on 15 Jun 2026]
Abstract:For an amenable unimodular random rooted network, we show that the presence of a positive point mass in the expected spectral measure implies that, with positive probability, there exists an eigenfunction with finite support.
Submission history
From: Georgii Veprev [view email]
[v1]
Mon, 15 Jun 2026 18:25:08 UTC (25 KB)
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