6 citations · 10 across the 4 of their papers we have counts for
4 papers
Phase Transition for the Chase-Escape Model on 2D Lattices
Si Tang, George Kordzakhia, Steven P. Lalley
Chase-Escape is a simple stochastic model that describes a predator-prey interaction. In this model, there are two types of particles, red and blue. Red particles colonize adjacent…
Ergodicity and Mixing Properties of the Northeast Model
George Kordzakhia, Steven P. Lalley
The Northeast Model is a spin system on the two-dimensional integer lattice that evolves according to the following rule: Whenever a site's southerly and westerly nearest neighbors…
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…
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…