Statistics of Critical Points of Gaussian Fields on Large-Dimensional Spaces
Journal Article
·
· Physical Review Letters
- School of Physics and Astronomy, University of Manchester, Manchester, M13 9Pl (United Kingdom)
- Laboratoire de Physique Theorique (UMR 5152 du CNRS), Universite Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex 4 (France)
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.
- OSTI ID:
- 20951222
- Journal Information:
- Physical Review Letters, Vol. 98, Issue 15; Other Information: DOI: 10.1103/PhysRevLett.98.150201; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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