62 citations · 675 across the 109 of their papers we have counts for
4 papers · 1 filter
Fractional contact model in the continuum
Anatoly N. Kochubei, Yuri G. Kondratiev
We consider the evolution of correlation functions in a non-Markov version of the contact model in the continuum. The memory effects are introduced by assuming the fractional evolu…
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…
Statistical dynamics of continuous systems: perturbative and approximative approaches
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We discuss general concept of Markov statistical dynamics in the continuum. For a class of spatial birth-and-death models, we develop a perturbative technique for the construction…
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…