A proof of the Lyons-Pemantle-Peres monotonicity conjecture for high biases
classification
🧮 math.PR
keywords
betabiasedbiasesconjecturegalton-watsonhighincreasingleaves
read the original abstract
The speed $v(\beta)$ of a $\beta$-biased random walk on a Galton-Watson tree without leaves is increasing for $\beta \geq 717$.
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