62 citations · 675 across the 109 of their papers we have counts for
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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…
Kawasaki dynamics in the continuum via generating functionals evolution
Dmitri L. Finkelshtein, Yuri G. Kondratiev, Maria Joao Oliveira
We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in…
Correlation functions evolution for the Glauber dynamics in continuum
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We construct a correlation functions evolution corresponding to the Glauber dynamics in continuum. Existence of the corresponding strongly continuous contraction semigroup in a pro…
Markov evolutions and hierarchical equations in the continuum: II. Multicomponent systems
Dmitri L. Finkelshtein, Yuri G. Kondratiev, Maria João Oliveira
General birth-and-death as well as hopping stochastic dynamics of infinite multicomponent particle systems in the continuum are considered. We derive the corresponding evolution eq…
Glauber dynamics in the continuum via generating functionals evolution
Dmitri L. Finkelshtein, Yuri G. Kondratiev, Maria João Oliveira
We construct the time evolution for states of Glauber dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type…
Glauber Dynamics in Continuum: A Constructive Approach to Evolution of States
Dmitri Finkelshtein, Yuri Kondratiev, Yuri Kozitsky
The evolutions of states is described corresponding to the Glauber dynamics of an infinite system of interacting particles in continuum. The description is conducted on both micro-…