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Random Walk on Periodic Trees

   
@article{EJP15,
	author = {Christiane Takacs},
	title = {Random Walk on Periodic Trees},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {2},
	year = {1997},
	keywords = {Trees, Random Walk, Speed},
	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.},
	pages = {no. 1, 1-16},
	issn = {1083-6489},
	doi = {10.1214/EJP.v2-15},    
        url = {http://ejp.ejpecp.org/article/view/15}}