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First-passage percolation on width-two stretches with exponential link weights


 
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1. Title Title of document First-passage percolation on width-two stretches with exponential link weights
 
2. Creator Author's name, affiliation, country Eckhard Schlemm; Zentrum Mathematik, Technische Université München
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) First-passage percolation, percolation rate, Markov chains, ergodicity
 
3. Subject Subject classification 60J05, 60K35
 
4. Description Abstract We consider the first-passage percolation problem on effectively one-dimensional graphs with vertex set $\{1,\dots,n\}\times\{0,1\}$ and translation-invariant edge-structure. For three of six non-trivial cases we obtain exact expressions for the asymptotic percolation rate $\chi$ by solving certain recursive distributional equations and invoking results from ergodic theory to identify $\chi$ as the expected asymptotic one-step growth of the first-passage time from $(0,0)$ to $(n,0)$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2009-10-06
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1493
 
10. Identifier Digital Object Identifier 10.1214/ECP.v14-1493
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 14
 
12. Language English=en
 
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