13 citations · 31 across the 6 of their papers we have counts for
Showing math.PRShow all
2 papers · 1 filter
math.PR2015★ 2 cited
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…
math.PR2009
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…