The statistics of critical points of Gaussian fields on large-dimensional spaces
Disordered Systems and Neural Networks
2013-05-29 v1 Statistical Mechanics
Abstract
We calculate the average number of critical points of a Gaussian field on a high-dimensional space as a function of their energy and their index. Our results give a complete picture of the organization of critical points and are of relevance to glassy and disordered systems, and to landscape scenarios coming from the anthropic approach to string theory.
Cite
@article{arxiv.cond-mat/0611023,
title = {The statistics of critical points of Gaussian fields on large-dimensional spaces},
author = {Alan J. Bray and David S. Dean},
journal= {arXiv preprint arXiv:cond-mat/0611023},
year = {2013}
}
Comments
5 pages