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Multiple geodesics with the same direction


 
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1. Title Title of document Multiple geodesics with the same direction
 
2. Creator Author's name, affiliation, country David Coupier; Laboratoire Paul Painlevé, UMR 8524, Université Lille 1
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) geodesic; last-passage percolation; topological end; random tree
 
3. Subject Subject classification 60K35; 82B43
 
4. Description Abstract The directed last-passage percolation (LPP) model with independent exponential times is considered. We complete the study of asymptotic directions of infinite geodesics, started by Ferrari and Pimentel [5]. In particular, using a recent result of [3] and a local modification argument, we prove there is no (random) direction with more than two geodesics with probability 1.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2011-09-26
 
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/1656
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1656
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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