Irreducible free energy expansion and overlaps locking in mean field spin glasses

Abstract

Following the works of [9],[11], we introduce a diagrammatic formulation for a cavity field expansion around the critical temperature. This approach allows us to obtain a theory for the overlap’s fluctuations and, in particular, the linear part of the Ghirlanda-Guerra relationships (GG) (often called Aizenman-Contucci polynomials (AC)) in a very simple way… (More)

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