An approach to chaos in some mixed p-spin models
Probability
2013-09-18 v1
Abstract
We consider the problems of chaos in disorder and temperature for coupled copies of the mixed p-spin models. Under certain assumptions on the parameters of the models we will first prove a weak form of chaos by showing that the overlap is concentrated around its Gibbs average depending on the disorder and then obtain several results toward strong chaos by providing control of the overlap between two systems in terms of their Parisi measures.
Cite
@article{arxiv.1201.2198,
title = {An approach to chaos in some mixed p-spin models},
author = {Wei-Kuo Chen and Dmitry Panchenko},
journal= {arXiv preprint arXiv:1201.2198},
year = {2013}
}
Comments
14 pages