3 citations · 5 across the 4 of their papers we have counts for
4 papers · 1 filter
Probabilistic solution of Yao's millionaires' problem
Mariya Bessonov, Dima Grigoriev, Vladimir Shpilrain
We offer a probabilistic solution of Yao's millionaires' problem that gives correct answer with probability (slightly) less than 1 but on the positive side, this solution does not…
A multi-class extension of the mean field Bolker-Pacala population model
Mariya Bessonov, Stanislav Molchanov, Joseph Whitmeyer
We extend our earlier mean field approximation of the Bolker-Pacala model of population dynamics by dividing the population into N classes, using a mean field approximation for eac…
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…
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…