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Hydrodynamical Methods in Last Passage Percolation Models
Eric Cator, Leandro P. R. Pimentel
These lecture notes are written as reference material for the Advanced Course "Hydrodynamical Methods in Last Passage Percolation Models", given at the 28th Coloquio Brasileiro de…
math.PR2011
Influence of the initial condition in equilibrium last-passage percolation models
Eric Cator, Marcio Watanabe, Leandro P. R. Pimentel
In this paper we consider an equilibrium last-passage percolation model on an environment given by a compound two-dimensional Poisson process. We prove an $\LL^2$-formula relating…