The Interaction Between Multi-Overlaps in the High Temperature Phase of the Sherrington-Kirkpatrick Spin Glass
Probability
2009-11-13 v3 Mathematical Physics
math.MP
Abstract
We explore the joint behavior of a finite number of multi-overlaps in the high temperature phase of the SK model. Extending work by M. Talagrand, we show that, when these objects are scaled to have non-trivial limiting distributions, the joint behavior is described by a Gaussian process with an explicit covariance structure.
Keywords
Cite
@article{arxiv.0711.3873,
title = {The Interaction Between Multi-Overlaps in the High Temperature Phase of the Sherrington-Kirkpatrick Spin Glass},
author = {Nicholas Crawford},
journal= {arXiv preprint arXiv:0711.3873},
year = {2009}
}
Comments
30 pages, Added References