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A simplified Parisi Ansatz (1909.06594v7)
Published 14 Sep 2019 in cond-mat.stat-mech
Abstract: Based on simple combinatorial arguments, we formulate a generalized cavity method where the Random Overlap Structure (ROSt) probability space of Aizenmann, Sims and Starr is obtained in a constructive way, and use it to give a simplified derivation of the Parisi formula for the free energy of the Sherrington-Kirckpatrick model