46 citations · 158 across the 22 of their papers we have counts for
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Invariant measures for spatial contact model in small dimensions
Yuri Kondratiev, Oleksandr Kutoviy, Sergey Pirogov +1
We study invariant measures of continuous contact model in small dimensional spaces (). Under general conditions we prove that in the critical regime this system has the on…
Dynamical Widom-Rowlinson model and its mesoscopic limit
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy +1
We consider the non-equilibrium dynamics for the Widom-Rowlinson model (without hard-core) in the continuum. The Lebowitz-Penrose-type scaling of the dynamics is studied and the sy…
The statistical dynamics of a spatial logistic model and the related kinetic equation
Dmitri Finkelshtein, Yuri Kondratiev, Yuri Kozitsky +1
There is studied an infinite system of point entities in which reproduce themselves and die, also due to competition. The system's states are probability measures on…
On an aggregation in birth-and-death stochastic dynamics
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy +1
We consider birth and death stochastic dynamics of particle systems with attractive interaction. The heuristic generator of the dynamics has a constant birth rate and density depen…
Stochastic evolution of a continuum particle system with dispersal and competition: micro- and mesoscopic description
Dmitri Finkelshtein, Yuri Kondratiev, Yuri Kozitsky +1
A Markov evolution of a system of point particles in is described at micro-and mesoscopic levels. The particles reproduce themselves at distant points (dispersal) an…
Markov Evolution of Continuum Particle Systems with Dispersion and Competition
Dmitri Finkelshtein, Yuri Kondratiev, Yuri Kozitsky +1
We construct birth-and-death Markov evolution of states(distributions) of point particle systems in . In this evolution, particles reproduce themselves at distant poi…