The free energy of spherical pure p-spin models: computation from the TAP approach

Eliran Subag

doi:10.1007/s00440-023-01200-0

The free energy of spherical pure p-spin models: computation from the TAP approach

Eliran Subag

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We compute the free energy at all temperatures for the spherical pure p-spin models from the generalized Thouless–Anderson–Palmer representation. This is the first example of a mixed p-spin model for which the free energy is computed in the whole replica symmetry breaking phase, without appealing to the famous Parisi formula.

Original language	English
Pages (from-to)	715-734
Number of pages	20
Journal	Probability Theory and Related Fields
Volume	186
Issue number	3-4
DOIs	https://doi.org/10.1007/s00440-023-01200-0
State	Published - Aug 2023

All Science Journal Classification (ASJC) codes

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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title = "The free energy of spherical pure p-spin models: computation from the TAP approach",

abstract = "We compute the free energy at all temperatures for the spherical pure p-spin models from the generalized Thouless–Anderson–Palmer representation. This is the first example of a mixed p-spin model for which the free energy is computed in the whole replica symmetry breaking phase, without appealing to the famous Parisi formula.",

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AB - We compute the free energy at all temperatures for the spherical pure p-spin models from the generalized Thouless–Anderson–Palmer representation. This is the first example of a mixed p-spin model for which the free energy is computed in the whole replica symmetry breaking phase, without appealing to the famous Parisi formula.

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The free energy of spherical pure p-spin models: computation from the TAP approach

Abstract

All Science Journal Classification (ASJC) codes

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