Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156770 | Stochastic Processes and their Applications | 2012 | 24 Pages |
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)
Authors
Hao Lin, Timo Seppäläinen,