A simplified Parisi Ansatz
arXiv:1909.06594 · doi:10.1088/1572-9494/abde32
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
23 pages, 2 Figures