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math.FA2017
Fixed points of Lyapunov integral operators and Gibbs measures
F. H. Haydarov
In this paper we shall consider the connections between Lyapunov integral operators and Gibbs measures for four competing interactions of models with uncountable (i.e. ) set…
math-ph2017
Phase transition for models with continuum set of spin values on Bethe lattice
Yu. Kh. Eshkabilov, G. I. Botirov, F. H. Haydarov
In this paper we consider models with nearest-neighbor interactions and with the set [0,1] of spin values, on a Bethe lattice (Cayley tree) of an arbitrary order. These models depe…