Random Walk on Periodic Trees
Christiane Takacs, Universität Linz
Abstract
Following Lyons (1990, Random Walks and Percolation on Trees) we define a
periodic tree, restate its
branching number and consider a biased random walk on it. In the case of a
transient walk, we describe the walk-invariant random periodic tree and
calculate the asymptotic rate of escape (speed) of the walk. This is
achieved by exploiting the connections between random walks and electric
networks.
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