13 citations · 31 across the 6 of their papers we have counts for
6 papers
Gibbs Fields: Uniqueness and Decay of Correlations. Revisiting Dobrushin and Pechersky
Diana Conache, Yuri Kondratiev, Yuri Kozitsky +1
We give a detailed and refined proof of the Dobrushin-Pechersky uniqueness criterion extended to the case of Gibbs fields on general graphs and single-spin spaces, which in particu…
Gibbs States on Random Configurations
Alexei Daletskii, Yuri Kondratiev, Yuri Kozitsky +1
We study a class of Gibbs measures of classical particle spin systems with spin space and unbounded pair interaction, living on a metric graph given by a typical…
A Phase Transition in a Quenched Amorphous Ferromagnet
Alexei Daletskii, Yuri Kondratiev, Yuri Kozitsky +1
Quenched thermodynamic states of an amorphous ferromagnet are studied. The magnet is a countable collection of point particles chaotically distributed over , $d\geq 2…
Gibbs states over the cone of discrete measures
Dennis Hagedorn, Yuri Kondratiev, Tanja Pasurek +1
We construct Gibbs perturbations of the Gamma process on $\mathbbm{R}^d$, which may be used in applications to model systems of densely distributed particles. First we propose a de…
Gibbs measures of disordered lattice systems with unbounded spins
Yuri Kondratiev, Yuri Kozitsky, Tanja Pasurek
The Gibbs measures of a spin system on with unbounded pair interactions are studied. Here , i.e. and are neighbors in…
Gibbs random fields with unbounded spins on unbounded degree graphs
Yuri Kondratiev, Yuri Kozitsky, Tanja Pasurek
Gibbs random fields corresponding to systems of real-valued spins (e.g. systems of interacting anharmonic oscillators) indexed by the vertices of unbounded degree graphs with a cer…