On spin distributions for generic p-spin models

Abstract

We provide an alternative formula for spin distributions of generic p-spin glass models. As a main application of this expression, we write spin statistics as solutions of partial differential equations and we show that the generic p-spin models satisfy multiscale Thouless-Anderson-Palmer equations as originally predicted in the work of Mezard-Virasoro.

arXiv comment15 pages, an early version of these results appeared in Sections 1.2 and 7 of arXiv:1612.06359v1

References in corpus (6)

• The Parisi formula has a unique minimizer
• Spin glass models from the point of view of spin distributions
• A Dynamic Programming Approach to the Parisi Functional
• On the structure of quasi-stationary competing particle systems
• Some Properties of the Phase Diagram for Mixed $p$-Spin Glasses
• Exchangeable random measures

Cited by in corpus (5)

• Thouless-Anderson-Palmer equations for the generic p-spin glass model
• The generalized TAP free energy II
• On convergence of the cavity and Bolthausen's TAP iterations to the local magnetization
• On the TAP equations via the cavity approach in the generic mixed $p$-spin models
• On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model