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arXiv · 1509.07383

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

Elie Aïdékon·Loïc de Raphélis
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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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Elie Aïdékon, Loïc de Raphélis. 2015-09-24. Scaling limit of the recurrent biased random walk on a Galton-Watson tree. https://arxiv.org/abs/1509.07383

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