A simplified Parisi Ansatz II: Random Energy Model universality

Simone Franchini

Chaos, Solitons & Fractals, 2025, vol. 191, issue C

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.

Keywords: Sherrington–Kirkpatrick model; Cavity methods; Random Energy Model; Parisi formula; REM universality (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924013730
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924013730

DOI: 10.1016/j.chaos.2024.115821

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().