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Application of<i>p</i>-adic analysis to models of breaking of replica symmetry

Application of<i>p</i>-adic analysis to models of breaking of replica symmetry

Methods of p-adic analysis are applied to the investigation of the spontaneous symmetry breaking in the models of spin glasses. A p-adic expression for the replica matrix is given and moreover the replica matrix in the models of spontaneous breaking of the replica symmetry in the simplest case is expressed …