62 citations · 367 across the 47 of their papers we have counts for
12 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 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…
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…
Functional evolutions for homogeneous stationary death-immigration spatial dynamics
Dmitri Finkelshtein
We discover death-immigration non-equilibrium stochastic dynamics in the continuum also known as the Surgailis process. Explicit expression for the correlation functions is present…