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2020 The speed of a biased random walk on a Galton-Watson tree is analytic
Adam Bowditch, Yuki Tokushige
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Electron. Commun. Probab. 25: 1-11 (2020). DOI: 10.1214/20-ECP344

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 [12] 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. "The speed of a biased random walk on a Galton-Watson tree is analytic." Electron. Commun. Probab. 25 1 - 11, 2020. https://doi.org/10.1214/20-ECP344

Information

Received: 4 June 2020; Accepted: 17 August 2020; Published: 2020
First available in Project Euclid: 17 September 2020

arXiv: 2006.03433
zbMATH: 07252785
MathSciNet: MR4151882
Digital Object Identifier: 10.1214/20-ECP344

Subjects:
Primary: 60J80
Secondary: 05C81, 60J10, 60K37

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