Highly Influential

@inproceedings{Martin2004PR1, title={PR ] 1 7 N ov 2 00 3 Limiting Shape for Directed Percolation Models}, author={James B. Martin}, year={2004} }

- Published 2004

We consider directed first-passage and last-passage percolation on the non-negative lattice Zd+, d ≥ 2, with i.i.d. weights at the vertices. Under certain moment conditions on the common distribution of the weights, the limits g(x) = limn→∞ n T (⌊nx⌋) exist and are constant a.s. for x ∈ Rd+, where T (z) is the passage time from the origin to the vertex z… CONTINUE READING

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