Spectral Gap Estimates for Mixed $p$-Spin Models at High Temperature
Probability
2022-08-17 v1 Mathematical Physics
math.MP
Abstract
We consider general mixed -spin mean field spin glass models and provide a method to prove that the spectral gap of the Dirichlet form associated with the Gibbs measure is of order one at sufficiently high temperature. Our proof is based on an iteration scheme relating the spectral gap of the -spin system to that of suitably conditioned subsystems.
Keywords
Cite
@article{arxiv.2208.07844,
title = {Spectral Gap Estimates for Mixed $p$-Spin Models at High Temperature},
author = {Arka Adhikari and Christian Brennecke and Changji Xu and Horng-Tzer Yau},
journal= {arXiv preprint arXiv:2208.07844},
year = {2022}
}