Chaos in temperature in generic 2p-spin models
Probability
2023-12-13 v5 Mathematical Physics
math.MP
Abstract
We prove chaos in temperature for even -spin models which include sufficiently many -spin interaction terms. Our approach is based on a new invariance property for coupled asymptotic Gibbs measures, similar in spirit to the invariance property that appeared in the proof of ultrametricity in arXiv:1112.1003, used in combination with Talagrand's analogue of Guerra's replica symmetry breaking bound for coupled systems.
Keywords
Cite
@article{arxiv.1502.03801,
title = {Chaos in temperature in generic 2p-spin models},
author = {Dmitry Panchenko},
journal= {arXiv preprint arXiv:1502.03801},
year = {2023}
}