Highly Influenced

@inproceedings{Peres2006ACL, title={A Central Limit Theorem for biased random walks on Galton-Watson trees}, author={Yuval Peres and Ofer Zeitouni}, year={2006} }

- Published 2006

Let T be a rooted Galton-Watson tree with offspring distribution {pk} that has p0 = 0, mean m = P kpk > 1 and exponential tails. Consider the λ-biased random walk {Xn}n≥0 on T ; this is the nearest neighbor random walk which, when at a vertex v with dv offspring, moves closer to the root with probability λ/(λ + dv), and moves to each of the offspring with… CONTINUE READING

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