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Accueil du site > Publications > Publications 2007 > The statistics of critical points of Gaussian fields on large-dimensional spaces

The statistics of critical points of Gaussian fields on large-dimensional spaces

Alan J. Bray and David S. Dean

par David Dean - 2 novembre 2006

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.