46 citations · 158 across the 22 of their papers we have counts for
8 papers · 1 filter
Fecundity regulation in a spatial birth-and-death process
Viktor Bezborodov, Luca Di Persio, Dmitri Finkelshtein +2
We study a Markov birth-and-death process on a space of locally finite configurations, which describes an ecological model with a density dependent fecundity regulation mechanism.…
On Stochastic Cucker-Smale flocking dynamics
Martin Friesen, Oleksandr Kutoviy
We present a stochastic version of the Cucker-Smale flocking dynamics based on a markovian -particle system of pair interactions with unbounded and, in general, non-Lipschitz co…
Evolution of states and mesoscopic scaling for two-component birth-and-death dynamics in continuum
Martin Friesen, Oleksandr Kutoviy
Two coupled spatial birth-and-death Markov evolutions on are obtained as unique weak solutions to the associated Fokker-Planck equations. Such solutions are construc…
Lattice birth-and-death processes
Viktor Bezborodov, Yuri Kondratiev, Oleksandr Kutoviy
Lattice birth-and-death Markov dynamics of particle systems with spins from the set of non-negative integers are constructed as unique solutions to certain stochastic equations. Pa…
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…