Article ID Journal Published Year Pages File Type
1156770 Stochastic Processes and their Applications 2012 24 Pages PDF
Abstract

We study directed last-passage percolation on the planar square lattice whose weights have general distributions, or equivalently, queues in series with general service distributions. Each row of the last-passage model has its own randomly chosen weight distribution. We investigate the limiting time constant close to the boundary of the quadrant. Close to the yy-axis, where the number of random distributions averaged over stays large, the limiting time constant takes the same universal form as in the homogeneous model. But close to the xx-axis we see the effect of the tail of the distribution of the random environment.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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