, Volume 40, Issue 2, pp 83-95

Analyticity and uniqueness of the invariant equilibrium states for general spin 1/2 classical lattice systems

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Abstract

Asano-Ruelle-Slawny method is generalized to discuss analyticity and uniqueness of the correlation functions in terms of the group structure associated with any lattice systems. The use of Poisson formula for abelian groups gives a simple method to obtain explicit domains where the above properties are verified.

Communicated by G. Gallavotti