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1997 Random Walk on Periodic Trees
Christiane Takacs
Author Affiliations +
Electron. J. Probab. 2: 1-16 (1997). DOI: 10.1214/EJP.v2-15

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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Christiane Takacs. "Random Walk on Periodic Trees." Electron. J. Probab. 2 1 - 16, 1997. https://doi.org/10.1214/EJP.v2-15

Information

Accepted: 3 January 1997; Published: 1997
First available in Project Euclid: 26 January 2016

zbMATH: 0888.60060
MathSciNet: MR1436761
Digital Object Identifier: 10.1214/EJP.v2-15

Subjects:
Primary: 60J15
Secondary: 60J45

Keywords: Random walk, Speed, trees

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Vol.2 • 1997
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