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math.PR2013★ 1 cited
Phase transitions for a planar quadratic contact process
Mariya Bessonov, Richard Durrett
We study a two dimensional version of Neuhauser's long range sexual reproduction model and prove results that give bounds on the critical values for the process to survive fr…
math.PR2013★ 3 cited
A Mean Field Approximation of the Bolker-Pacala Population Model
Mariya Bessonov, Stanislav Molchanov, Joseph Whitmeyer
We approximate the Bolker-Pacala model of population dynamics with the logistic Markov chain and analyze the latter. We find the asymptotics of the degenerated hypergeometric funct…