62 citations · 367 across the 47 of their papers we have counts for
23 papers · 1 filter
Finite difference calculus in the continuum
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1
The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite d…
Analysis on the cone of discrete Radon measures
Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling +2
We study analysis on the cone of discrete Radon measures over a locally compact Polish space . We discuss probability measures on the cone and the corresponding correlation meas…
Markov dynamics on the cone of discrete Radon measures
Dmitri Finkelshtein, Yuri Kondratiev, Peter Kuchling
We start with a brief overview of the known facts about the spaces of discrete Radon measures those may be considered as generalizations of configuration spaces. Then we study thre…
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…
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…
On an aggregation in birth-and-death stochastic dynamics
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy +1
We consider birth and death stochastic dynamics of particle systems with attractive interaction. The heuristic generator of the dynamics has a constant birth rate and density depen…