Limiting shape for directed percolation models

We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\geq2, with i.i.d. weights at the vertices. Under certain moment conditions on the common distribution of the weights, the limits g(x)=lim_{n\to\infty}n^{-1}T(\lfloor nx\rfloor) exist and are constant...

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Detaylı Bibliyografya
Yazar: Martin, J
Materyal Türü: Journal article
Dil:English
Baskı/Yayın Bilgisi: 2003