On spin distributions for generic p-spin models
Probability
2020-04-17 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1802.07291,
title = {On spin distributions for generic p-spin models},
author = {Antonio Auffinger and Aukosh Jagannath},
journal= {arXiv preprint arXiv:1802.07291},
year = {2020}
}
Comments
15 pages, an early version of these results appeared in Sections 1.2 and 7 of arXiv:1612.06359v1