Scaling limit of the recurrent biased random walk on a Galton-Watson tree
classification
🧮 math.PR
keywords
randomgalton-watsontreewalkbiasedrecurrentbrownianconverges
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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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