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Random Walk on Periodic Trees


 
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1. Title Title of document Random Walk on Periodic Trees
 
2. Creator Author's name, affiliation, country Christiane Takacs; Universität Linz
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Trees, Random Walk, Speed
 
3. Subject Subject classification 60J15, 60J45
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 1997-01-03
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/15
 
10. Identifier Digital Object Identifier 10.1214/EJP.v2-15
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 2
 
12. Language English=en en
 
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