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...

Повний опис

Бібліографічні деталі
Автор: Martin, J
Формат: Journal article
Мова:English
Опубліковано: 2003