3 citations · 3 across the 2 of their papers we have counts for
5 papers
Euclidean Gibbs Measures of Quantum Anharmonic Crystals
Yuri Kozitsky, Tatiana Pasurek
A lattice system of interacting temperature loops, which is used in the Euclidean approach to describe equilibrium thermodynamic properties of an infinite system of interacting qua…
Infinite Order Differential Operators in Spaces of Entire Functions
Yu. Kozitsky, P. Oleszczuk, L. Wolowski
We study infinite order differential operators acting in the spaces of exponential type entire functions. We derive conditions under which such operators preserve the set of Laguer…
A Nonlinear Dynamical System on the Set of Laguerre Entire Functions
Yuri Kozitsky, Lech Wolowski
A nonlinear modification of a parabolic Cauchy problem for entire functions of a single complex variable is considered. The modification means that the time half-line is divided on…
Classical Limits of Euclidean Gibbs States for Quantum Lattice Models
Sergio Albeverio, Yuri Kondratiev, Yuri Kozitsky
Models of quantum and classical particles on the d-dimensional cubic lattice with pair interparticle interactions are considered. The classical model is obtained from the correspon…
Laguerre Entire Functions and Related Locally Convex Spaces
Yuri Kozitsky, Lech B. Wolowski
A scale of the Frechet spaces of exponential type entire functions of one complex variable is considered. Certain special properties of subsets of these spaces consisting of Laguer…