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Some two-dimensional finite energy percolation processes
percolation uniform finite energy coexistence
2009/4/29
Some examples of translation invariant site percolation processes on the $Z^2$ lattice are constructed, the most far-reaching example being one that satisfies uniform finite energy (meaning that the p...
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...