L²-spectral invariants and convergent sequences of finite graphs

2007/09/09 by Gábor Elek, Elek, Gabor · 1 citation
Mathematics · Materials Science · #Spectral Theory in Mathematical Physics #Graph theory and applications #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.0709.1261

Abstract

Using the spectral theory of weakly convergent sequences of finite graphs, we prove the uniform existence of the integrated density of states for a large class of infinite graphs.

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• Parameter testing with bounded degree graphs of subexponential growth

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