@article{ECP1287,
author = {Leonardo Rolla and Augusto Teixeira},
title = {Last Passage Percolation in Macroscopically Inhomogeneous Media},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {13},
year = {2008},
keywords = {last passage percolation; inhomogeneous media; variational problem; scaling limit; tasep},
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.},
pages = {no. 13, 131-139},
issn = {1083-589X},
doi = {10.1214/ECP.v13-1287},
url = {http://ecp.ejpecp.org/article/view/1287}}