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Last Passage Percolation in Macroscopically Inhomogeneous Media


 
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1. Title Title of document Last Passage Percolation in Macroscopically Inhomogeneous Media
 
2. Creator Author's name, affiliation, country Leonardo T. Rolla; Instituto de Matemética Pura e Aplicada
 
2. Creator Author's name, affiliation, country Augusto Q. Teixeira; Instituto de Matemética Pura e Aplicada
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) last passage percolation; inhomogeneous media; variational problem; scaling limit; tasep
 
3. Subject Subject classification 60K35; 82D60; 60F10
 
4. Description Abstract In this note we investigate the last passage percolation model in the presence of macroscopic inhomogeneity. We analyze how this affects the scaling limit of the passage time, leading to a variational problem that provides an ODE for the deterministic limiting shape of the maximal path. We obtain a sufficient analytical condition for uniquenes of the solution for the variational problem. Consequences for the totally asymmetric simple exclusion process are discussed.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) CNPq and FAPERJ
 
7. Date (YYYY-MM-DD) 2008-03-05
 
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/1287
 
10. Identifier Digital Object Identifier 10.1214/ECP.v13-1287
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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