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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…
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…
Laplace operators in deRham complexes associated with measures on configuration spaces
S. Albeverio, A. Daletskii, Y. Kondratiev +1
Let denote the space of all locally finite configurations in a complete, stochastically complete, connected, oriented Riemannian manifold , whose volume measure is inf…