140 citations · 142 across the 5 of their papers we have counts for
5 papers
Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus
Sergio Albeverio, Hiroshi Kawabi, Stefan-Radu Mihalache +1
We consider space-time quantum fields with exponential/trigonometric interactions. In the context of Euclidean quantum field theory, the former and the latter are called the Hoegh-…
Random attractors for a class of stochastic partial differential equations driven by general additive noise
Benjamin Gess, Wei Liu, Michael Roeckner
The existence of random attractors for a large class of stochastic partial differential equations (SPDE) driven by general additive noise is established. The main results are appli…
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…
On a relation between intrinsic and extrinsic Dirichlet forms for interacting particle systems
Yuri Kondratiev, Jose Luis Silva, Michael Roeckner
In this paper we extend the result obtained in \cite{AKR97} (see also \cite {AKR96}) on the representation of the intrinsic pre- Dirichlet form of the Poisson…