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

Published 24 Sep 2015 in math.PR | (1509.07383v1)

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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