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Recurrent Graphs where Two Independent Random Walks Collide Finitely Often


 
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1. Title Title of document Recurrent Graphs where Two Independent Random Walks Collide Finitely Often
 
2. Creator Author's name, affiliation, country Manjunath Krishnapur; University of California at Berkeley, USA
 
2. Creator Author's name, affiliation, country Yuval Peres; University of California at Berkeley, USA
 
3. Subject Discipline(s)
 
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4. Description Abstract We present a class of graphs where simple random walk is recurrent, yet two independent walkers meet only finitely many times almost surely. In particular, the comb lattice, obtained from $Z^2$ by removing all horizontal edges off the $x$-axis, has this property. We also conjecture that the same property holds for some other graphs, including the incipient infinite cluster for critical percolation in $Z^2$.
 
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7. Date (YYYY-MM-DD) 2004-07-30
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1111
 
10. Identifier Digital Object Identifier 10.1214/ECP.v9-1111
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 9
 
12. Language English=en
 
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