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The Spectral Dimension of Generic Trees

✍ Scribed by Bergfinnur Durhuus; Thordur Jonsson; John F. Wheater


Publisher
Springer
Year
2007
Tongue
English
Weight
521 KB
Volume
128
Category
Article
ISSN
0022-4715

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In this paper we show, for Galton-Watson tree T of resistance R, that R -R n decays exponentially in n where R n denotes the resistance of the portion of T between the root and level n. We also determine a formula for the resistance dimension of spherically symmetric random trees and prove that it i