Last Passage Percolation in Macroscopically Inhomogeneous Media
نویسندگان
چکیده
منابع مشابه
Last Passage Percolation in Macroscopically Inhomogeneous Media
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 problem that provides an ODE for the deterministic limiting shape of the maximal path. We obtain a sufficient analytical condition for uniqueness of the solution for the variational problem. Conse...
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ژورنال
عنوان ژورنال: Electronic Communications in Probability
سال: 2008
ISSN: 1083-589X
DOI: 10.1214/ecp.v13-1287