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Gibbs measures for models with uncountable set of spin values

G. I. Botirov

V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan

Abstract: We consider models with the set $[0,1]$ of spin values on a Cayley tree of order $k>1$. We give criterion on parameters of such models for non-uniqueness of Gibbs measure (the phase-transition behavior) on Cayley trees with arbitrary degree $k>1$. Moreover, continuum sets of new Gibbs measures are constructed.

Website: https://us02web.zoom.us/j/88171497327


© Steklov Math. Inst. of RAS, 2024