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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Hlavní autoři: Durhuus, B, Jonsson, T, Wheater, J
Médium: Journal article
Jazyk:English
Vydáno: IOP Publishing 2024