The speed of random walk on Galton-Watson trees with vanishing conductances

Tabea Glatzel; Jan Nagel

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arXiv · 2011.10519

The speed of random walk on Galton-Watson trees with vanishing conductances

Tabea Glatzel·Jan Nagel

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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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Tabea Glatzel, Jan Nagel. 2020-11-20. The speed of random walk on Galton-Watson trees with vanishing conductances. https://arxiv.org/abs/2011.10519

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