A Central Limit Theorem for biased random walks on Galton-Watson trees

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