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Article Dans Une Revue Physical Review Letters Année : 2007

Statistics of critical points of Gaussian fields on large-dimensional spaces

Alan J. Bray
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-00124320 , version 1 (12-01-2007)

Identifiants

Citer

Alan J. Bray, David S. Dean. Statistics of critical points of Gaussian fields on large-dimensional spaces. Physical Review Letters, 2007, 98, pp.150201. ⟨10.1103/PhysRevLett.98.150201⟩. ⟨hal-00124320⟩
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