Leonardo T. Rolla, Augusto Q. Teixeira
Published 2008-04-10, updated 2016-09-10Version 2
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 uniqueness of the solution for the variational problem. Consequences for the totally asymmetric simple exclusion process are discussed.
Journal: Electronic Communications in Probability, v. 13, p. 131-139, 2008
From the totally asymmetric simple exclusion process to the KPZ fixed point
Stochastic domination for the last passage percolation model
From stability to chaos in last-passage percolation
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