"Random walk on periodic trees"
, in Electronic Journal of Probability, Vol. 2, 1997, ISSN: 1083-6489
Random walk on periodic trees
Sprache des Titels:
We define a periodic tree restate its branching number and consider a homesick 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.