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.
Citation
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
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