26 citations · 196 across the 64 of their papers we have counts for
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The Lee-Yang property of isotropic vector ferromagnets and lattice fields
Yuri Kozitsky
The Lee-Yang property of a given spin model means that its partition function has purely imaginary zeros as a function of an external magnetic field. A similar property is also use…
On the Lee-Yang property of some ferromagnets
Yuri Kozitsky
According to the Lieb-Sokal theorem, the partition function, , of a ferromagnetic spin model has the Lee-Yang property if the single-spin partition function has it. In this note…
Uniqueness of Gibbs fields with unbounded random interactions on unbounded degree graphs
Dorota Kepa-Maksymowicz, Yuri Kozitsky
Gibbs fields with continuous spins are studied, the underlying graphs of which can be of unbounded vertex degree and the spin-spin pair interaction potentials are random and unboun…
Equilibrium States, Phase Transitions and Dynamics in Quantum Anharmonic Crystals
Yuri Kozitsky
The basic elements of the mathematical theory of states of thermal equilibrium of infinite systems of quantum anharmonic oscillators (quantum crystals) are outlined. The main conce…
A Curie-Weiss Theory of the Continuum Widom-Rowlinson Model
Yuri Kozitsky, Mikhailo Kozlovskii
A version of the continuum Widom-Rowlinson model is introduced and studied. It is a two-component gas of point particles placed in in which like particles do not int…
A Phase Transition in a Widom-Rowlinson Model with Curie-Weiss Interaction
Yuri Kozitsky, Mykhailo Kozlovskii
An analog of the continuum Widom-Rowlinson model is introduced and studied. Its two-component version is a gas of point particles of types 0 and 1 placed in $\mathds{R}^d$, in whic…