Constructive cavity method

We show that the functional appearing in the celebrated Parisi formula for the free energy of the Sherrington-Kirkpatrick model can be found from the incremental free energy obtained by Cavity Method if one assumes that the state is a product of independent Random Energy models.

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Publication Details

Journal
Journal of Mathematical Physics
Published
2026-01-01
DOI
https://doi.org/10.1063/5.0291580
Primary Topic
Stochastic processes and statistical mechanics
Type
article
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article

Constructive cavity method

Simone Franchini
Journal of Mathematical Physics
Stochastic processes and statistical mechanics
article

Constructive cavity method

Simone Franchini
article en

Abstract

We show that the functional appearing in the celebrated Parisi formula for the free energy of the Sherrington-Kirkpatrick model can be found from the incremental free energy obtained by Cavity Method if one assumes that the state is a product of independent Random Energy models.

Journal of Mathematical PhysicsVol. 67(1)
Istituto Nazionale di Statistica (IT), Sapienza University of Rome (IT)
Affordable and clean energy
Openalex Percentile: Top 92%
Stochastic processes and statistical mechanics
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Constructive cavity method — Simone Franchini · Journal of Mathematical Physics (2026) | TGRS Research Map | TGRS