Almost sure convergence for stochastically biased random walks on trees
نویسندگان
چکیده
منابع مشابه
Biased Random Walks on Galton - Watson Trees
We consider random walks with a bias toward the root on the family tree T of a supercritical Galton-Watson branching process and show that the speed is positive whenever the walk is transient. The corresponding harmonic measures are carried by subsets of the boundary of dimension smaller than that of the whole boundary. When the bias is directed away from the root and the extinction probability...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2011
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-011-0379-y