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arXiv · 1111.5865

A proof of the Lyons-Pemantle-Peres monotonicity conjecture for high biases

Gerard Ben Arous·Alexander Fribergh·Vladas Sidoravicius
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Abstract

The speed $v(β)$ of a $β$-biased random walk on a Galton-Watson tree without leaves is increasing for $β\geq 717$.

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Gerard Ben Arous, Alexander Fribergh, Vladas Sidoravicius. 2011-11-24. A proof of the Lyons-Pemantle-Peres monotonicity conjecture for high biases. https://arxiv.org/abs/1111.5865

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