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arxiv: 0709.1261 · v1 · submitted 2007-09-09 · 🧮 math.SP · math.CO

L²-spectral invariants and convergent sequences of finite graphs

classification 🧮 math.SP math.CO
keywords graphsconvergentfinitesequencesspectralclassdensityexistence
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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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