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arXiv · 2606.17187

Localization of eigenfunctions in amenable unimodular random networks

Georgii Veprev
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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.

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Georgii Veprev. 2026-06-15. Localization of eigenfunctions in amenable unimodular random networks. https://arxiv.org/abs/2606.17187

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