High Temperature Behaviour without Analyticity

G. Gielis, C. Maes

1996, v.2, №1, 41-50


The uniqueness regime of Gibbs states for random and unbounded interactions suffers from the presence of Griffiths' singularities. The connection between this problem and an associated percolation process provides elementary methods for deriving the strongest possible results. We show here how to restore a form of local analyticity which gives rise to optimal bounds on the truncated correlation functions.

Keywords: Griffiths' singularities,spin glasses,semi-invariants,local analyticity


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