paper

On spin distributions for generic p-spin models

arXiv:1802.07291 · doi:10.1007/s10955-018-2188-5

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.

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