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The speed of random walk on Galton-Watson trees with vanishing conductances (2011.10519v1)
Published 20 Nov 2020 in math.PR
Abstract: In this paper we consider random walks on Galton-Watson trees with random conductances. On these trees, the distance of the walker to the root satisfies a law of large numbers with limit the effective velocity, or speed of the walk. We study the regularity of the speed as a function of the distribution of conductances, in particular when the distribution of conductances converges to a non-elliptic limit.
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