62 citations · 675 across the 109 of their papers we have counts for
5 papers · 2 filters
Analysis and geometry on -marked configuration spaces
Yu. G. Kondratiev, E. W. Lytvynov, G. F. Us
We carry out analysis and geometry on a marked configuration space over a Riemannian manifold with marks from the space as a natural generalization of the wor…
Analysis and geometry on marked configuration spaces
S. Albeverio, Yu. G. Kondratiev, E. W. Lytvynov +1
We carry out analysis and geometry on a marked configuration space over a Riemannian manifold with marks from a space . We suppose that is a homogeneous space $M…
On a spectral representation for correlation measures in configuration space analysis
Yu. M. Berezansky, Yu. G. Kondratiev, T. Kuna +1
The paper is devoted to the study of configuration space analysis by using the projective spectral theorem. For a manifold , let , resp.\ denote the space of all,…
Operators of Gamma white noise analysis
Yu. Kondratiev, E. Lytvynov
The paper is devoted to the study of Gamma white noise analysis. We define an extended Fock space $\Gama(\Ha)$ over $\Ha=L^2(\R^d, dσ)$, and show how to include the usual Fock spac…
Equilibrium Glauber dynamics of continuous particle systems as a scaling limit of Kawasaki dynamics
Dmitri L. Finkelshtein, Yuri G. Kondratiev, Eugene W. Lytvynov
A Kawasaki dynamics in continuum is a dynamics of an infinite system of interacting particles in which randomly hop over the space. In this paper, we deal with an eq…