62 citations · 675 across the 109 of their papers we have counts for
4 papers · 2 filters
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…
Equilibrium diffusion on the cone of discrete Radon measures
Diana Conache, Yuri G. Kondratiev, Eugene Lytvynov
Let denote the cone of discrete Radon measures on . There is a natural differentiation on : for a differentiable funct…
Laplace operators on the cone of Radon measures
Yuri Kondratiev, Eugene Lytvynov, Anatoly Vershik
We consider the infinite-dimensional Lie group which is the semidirect product of the group of compactly supported diffeomorphisms of a Riemannian manifold and th…
Gibbs Fields: Uniqueness and Decay of Correlations. Revisiting Dobrushin and Pechersky
Diana Conache, Yuri Kondratiev, Yuri Kozitsky +1
We give a detailed and refined proof of the Dobrushin-Pechersky uniqueness criterion extended to the case of Gibbs fields on general graphs and single-spin spaces, which in particu…