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- W2949472208 abstract "For First Passage Percolation in Z^d with large d, we construct a path connecting the origin to {x_1 =1}, whose passage time has optimal order log d/d. Besides, an improved lower bound for the diagonal speed of the cluster combined with a result by Dhar (1988) shows that the limiting shape in FPP with exponential passage times (and thus that of Eden model) is not the euclidian ball in dimension larger than 35." @default.
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- W2949472208 date "2011-01-09" @default.
- W2949472208 modified "2023-10-01" @default.
- W2949472208 title "Construction of a short path in high dimensional First Passage Percolation" @default.
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