A Simplified Parisi Ansatz

Communications in Theoretical Physics/Communications in theoretical physics（2021）

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摘要

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 we use it to give a simplified derivation of the Parisi formula for the free energy of the Sherrington-Kirkpatrick model.

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关键词

Sherrington&#8211,Kirkpatrick model,cavity methods,Parisi formula

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