Lower bound on the mixing time of $p$-spin glasses
Probability
2026-05-15 v1 Mathematical Physics
math.MP
Abstract
We show that Glauber dynamics for -spin glass mixes exponentially slowly at inverse temperatures larger than a constant times for large enough . This is done by analyzing the energy landscape using Gaussian decompositions and establishing a bottleneck bound.
Cite
@article{arxiv.2605.14681,
title = {Lower bound on the mixing time of $p$-spin glasses},
author = {Anouar Kouraich and Simone Warzel},
journal= {arXiv preprint arXiv:2605.14681},
year = {2026}
}
Comments
9 pages, 1 figure