Scaling limit of the recurrent biased random walk on a Galton-Watson tree

2015/09/24 by Aïdékon, Elie, de Raphélis, Loïc
#60F17 #60G50 #60J80 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1509.07383

Abstract

We show that the trace of the null recurrent biased random walk on a Galton-Watson tree properly renormalized converges to the Brownian forest. Our result extends to the setting of the random walk in random environment on a Galton-Watson tree.

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