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arXiv · 2006.03433

The speed of a biased random walk on a Galton-Watson tree is analytic

Adam Bowditch·Yuki Tokushige
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Abstract

We prove that the speed of a biased random walk on a supercritical Galton-Watson tree conditioned to survive is analytic within the ballistic regime. This extends the previous work arXiv:1906.07913 in which it was shown that the speed is differentiable within the range of bias for which a central limit theorem holds.

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Adam Bowditch, Yuki Tokushige. 2020-06-04. The speed of a biased random walk on a Galton-Watson tree is analytic. https://arxiv.org/abs/2006.03433

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