Rem Universality For Random Hamiltonians
SPIN GLASSES: STATICS AND DYNAMICS: SUMMER SCHOOL, PARIS 2007(2009)
摘要
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.
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关键词
Spin glasses,random energy model,extreme values,Gaussian processes,statistical mechanics,disordered media
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