The spectrum of asymptotic Cayley trees

We characterize the spectrum of the transition matrix for simple random walk on graphs consisting of a finite graph with a finite number of infinite Cayley trees attached. We show that there is a continuous spectrum identical to that for a Cayley tree and, in general, a non-empty pure point spectrum...

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Bibliografiske detaljer
Main Authors: Durhuus, B, Jonsson, T, Wheater, J
Format: Journal article
Sprog:English
Udgivet: IOP Publishing 2024