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A simplified Parisi Ansatz II: Random Energy Model universality

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  • Franchini, Simone

Abstract

In a previous work (Franchini, 2021) we introduced a simple method to compute the Random Overlap Structure of Aizenmann, Simm and Stars and the full-RSB Parisi formula for the Sherrington–Kirckpatrick Model without using replica theory. The method consists in partitioning the system into smaller sub-systems that we call layers, and iterate the Bayes rule. A central ansatz in our derivation was that these layers could be approximated by Random Energy Models of the Derrida type. In this paper we analyze the properties of the interface in detail, and show the equivalence with the Random Energy Model at any temperature.

Suggested Citation

  • Franchini, Simone, 2025. "A simplified Parisi Ansatz II: Random Energy Model universality," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013730
    DOI: 10.1016/j.chaos.2024.115821
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