Statistics of critical points of Gaussian fields on large-dimensional spaces.
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 landscape scenarios coming from the anthropic approach to string theory.
Bray
Alan J
AJ
School of Physics and Astronomy, University of Manchester, Manchester, United Kingdom.
Dean
David S
DS