The statistics of critical points of Gaussian fields on large-dimensional spaces
arXiv:cond-mat/0611023 · doi:10.1103/PhysRevLett.98.150201
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.
5 pages