2 citations · 5 across the 6 of their papers we have counts for
11 papers
The semigroup of the Glauber dynamics of a continuous system of free particles
Yuri Kondratiev, Eugene Lytvynov, Michael Röckner
We study properties of the semigroup on the space , where is the configuration space over a locally compact second countable Hausdorff topol…
Infinite interacting diffusion particles I: Equilibrium process and its scaling limit
Yuri Kondratiev, Eugene Lytvynov, Michael Röckner
A stochastic dynamics of a classical continuous system is a stochastic process which takes values in the space of all locally finite subsets (configurati…
Invariant measures for Glauber dynamics of continuous systems
Yuri G. Kondratiev, Maria João Oliveira
We consider Glauber-type stochastic dynamics of continuous systems \cite{BCC02}, \cite{KL03}, a particular case of spatial birth-and-death processes. The dynamics is defined by a M…
The heat semigroup on configuration spaces
Yuri Kondratiev, Eugene Lytvynov, Michael Roeckner
In this paper, we study properties of the heat semigroup of configuration space analysis. Using a natural ``Riemannian-like'' structure of the configuration space over a comp…
Scaling limit of stochastic dynamics in classical continuous systems
Martin Grothaus, Yuri G. Kondratiev, Eugene Lytvynov +1
We investigate a scaling limit of gradient stochastic dynamics associated to Gibbs states in classical continuous systems on . The aim is to derive macrosco…
Generalized Functions in Infinite Dimensional Analysis
Yuri G. Kondratiev, Ludwig Streit, Werner Westerkamp +1
We give a general approach to infinite dimensional non-Gaussian Analysis for measures which need not have a logarithmic derivative. This framework also includes the possibility to…