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- Publisher
- Birkhäuser Basel
- Copyright
- © Birkhäuser Basel 2009
- ISBN
- 978-3-7643-8999-4
- Pages
- 45 –84
- DOI
- 10.1007/978-3-7643-9891-0_2
- Publisher site
- See Chapter on Publisher Site
Abstract
[We survey in this paper a universality phenomenon which shows that some characteristics of complex random energy landscapes are model-independent, or universal. This universality, called REM-universality, was discovered by S. Mertens and H. Bauke in the context of combinatorial optimization. We survey recent advances on the extent of this REM-universality for equilibrium as well as dynamical properties of spin glasses. We also focus on the limits of REM-universality, i.e., when it ceases to be valid.]
Published: Dec 14, 2009
Keywords: 82B44; 82D30; 82C44; 60G15; 60G55; Spin glasses; random energy model; extreme values; Gaussian processes; statistical mechanics; disordered media