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A Universality Property for Last-Passage Percolation Paths Close to the Axis
Last-passage percolation universality Brownian directed percolation
2009/4/24
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common distribution has a finite $(2+p)$th moment. We study the fluctuations of the passage time from the or...
A Universality Property for Last-Passage Percolation Paths Close to the Axis
Universality Property Percolation the Axis
2009/4/7
We consider a last-passage directed percolation model in $Z_+^2$, with i.i.d. weights whose common distribution has a finite $(2+p)$th moment. We study the fluctuations of the passage time from the or...
Last Passage Percolation in Macroscopically Inhomogeneous Media
last passage percolation model Macroscopically Inhomogeneous Media
2009/3/19
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...