9 citations · 56 across the 26 of their papers we have counts for
Showing 2005 · math.PRShow all
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math.PR2005★ 3 cited
A two-species competition model on Z^d
George Kordzakhia, Steven P. Lalley
We consider a two-type stochastic competition model on the integer lattice Z^d. The model describes the space evolution of two ``species'' competing for territory along their bound…
math.PR2005★ 1 cited
Critical Scaling for the Simple SIS Stochastic Epidemic
R. G. Dolgoarshinnykh Steven P. Lalley
We exhibit a scaling law for the critical SIS stochastic epidemic: If at time 0 the population consists of square root N infected and N - square root N susceptible individuals, the…
math.PR2005★ 1 cited
An Oriented Competition model on Z_{+}^2
George Kordzakhia, Steven Lalley
We consider a two-type oriented competition model on the first quadrant of the two-dimensional integer lattice. Each vertex of the space may contain only one particle of either Red…