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2008 Last Passage Percolation in Macroscopically Inhomogeneous Media
Leonardo Rolla, Augusto Teixeira
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Electron. Commun. Probab. 13: 131-139 (2008). DOI: 10.1214/ECP.v13-1287


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.


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Leonardo Rolla. Augusto Teixeira. "Last Passage Percolation in Macroscopically Inhomogeneous Media." Electron. Commun. Probab. 13 131 - 139, 2008.


Accepted: 5 March 2008; Published: 2008
First available in Project Euclid: 6 June 2016

zbMATH: 1189.60184
MathSciNet: MR2386069
Digital Object Identifier: 10.1214/ECP.v13-1287

Primary: 60K35
Secondary: 60F10 , 82D60

Keywords: Inhomogeneous media , Last passage percolation , Scaling limit , TASEP , variational problem

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