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 landscape scenarios coming from the anthropic approach to string theory.
- Received 6 November 2006
DOI:https://doi.org/10.1103/PhysRevLett.98.150201
©2007 American Physical Society