370 citations
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Showing 2005 · math.PRShow all
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math.PR2005★ 14 cited
The sizes of the pioneering, lowest crossing and pivotal sites in critical percolation on the triangular lattice
G. J. Morrow, Y. Zhang
Let L_n denote the lowest crossing of a square 2n\times2n box for critical site percolation on the triangular lattice imbedded in Z^2. Denote also by F_n the pioneering sites exten…
math.PR2005★ 14 cited
Mass extinctions: an alternative to the Allee effect
Rinaldo B. Schinazi
We introduce a spatial stochastic process on the lattice Z^d to model mass extinctions. Each site of the lattice may host a flock of up to N individuals. Each individual may give b…