Mariya Bessonov
New York City College of Technology
Mathematical analysisMean field theoryMathematicsPopulation modelYao's Millionaires' Problem
What is this?
Publications 6
1 CitationsSource
#1Mariya Bessonov (New York City College of Technology)H-Index: 2
#2Dima Grigoriev (Lille University of Science and Technology)H-Index: 24
Last. Vladimir Shpilrain (CCNY: City College of New York)H-Index: 22
view all 3 authors...
We offer a public-key encryption protocol where decryption of a single bit by a legitimate party is correct with probability p that is greater than 1/2 but less than 1. At the same time, a computationally unbounded (passive) adversary correctly recovers the transmitted bit with probability exactly 1/2.
#1Mariya Bessonov (New York City College of Technology)H-Index: 2
#2Rick Durrett (Duke University)H-Index: 52
Abstract We study a two dimensional version of Neuhauser's long range sexual reproduction model and prove results that give bounds on the critical values λ f for the process to survive from a finite set and λ e for the existence of a nontrivial stationary distribution. Our first result comes from a standard block construction, while the second involves a comparison with the “generic population model” of Bramson and Gray (1991) [3] . An interesting new feature of our work is the suggestion that, ...
4 CitationsSource
#1Mariya BessonovH-Index: 2
#2Dima GrigorievH-Index: 24
Last. Vladimir ShpilrainH-Index: 22
view all 3 authors...
Jun 26, 2013 in ISSAC (International Symposium on Symbolic and Algebraic Computation)
#1Mariya Bessonov (Cornell University)H-Index: 2
#2Alexey Ovchinnikov (QC: Queens College)H-Index: 12
Last. Maxwell Shapiro (The Graduate Center, CUNY)H-Index: 1
view all 3 authors...
We study integrability conditions for systems of parameterized linear difference equations and related properties of linear differential algebraic groups. We show that isomonodromicity of such a system is equivalent to isomonodromicity with respect to each parameter separately under a linearly differentially closed assumption on the field of differential parameters. Due to our result, it is no longer necessary to solve non-linear differential equations to verify isomonodromicity, which will impr...
3 CitationsSource
#1Mariya BessonovH-Index: 2
#2Stanislav MolchanovH-Index: 28
Last. Joseph M. WhitmeyerH-Index: 13
view all 3 authors...
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 function and use these to prove a local CLT and large deviations result. We also state global limit theorems and obtain asymptotics for the first passage time to the boundary of a large interval.
2 Citations