46 citations · 158 across the 22 of their papers we have counts for
8 papers · 1 filter
Establishment and Fecundity in Spatial Ecological Models: Statistical Approach and Kinetic Equations
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We consider spatial population dynamics given by Markov birth-and-death process with constant mortality and birth influenced by establishment or fecundity mechanisms. The independe…
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…
Semigroup approach to birth-and-death stochastic dynamics in continuum
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We describe a general approach to the construction of a state evolution corresponding to the Markov generator of a spatial birth-and-death dynamics in . We present co…
Kawasaki dynamics in continuum: micro- and mesoscopic descriptions
Christoph Berns, Yuri kondratiev, Yuri Kozitsky +1
The dynamics of an infinite system of point particles in , which hop and interact with each other, is described at both micro- and mesoscopic levels. The states of th…
Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy +1
Let denote the space of all locally finite subsets (configurations) in . A stochastic dynamics of binary jumps in continuum is a Markov process on in which pai…
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…