@inbook{49f322d5576e41d28ab733ba01396392,

title = "REM Universality for Random Hamiltonians",

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.",

keywords = "Gaussian processes, Spin glasses, disordered media, extreme values, random energy model, statistical mechanics",

author = "Arous, {G{\'e}rard Ben} and Alexey Kuptsov",

note = "Funding Information: We thank our collaborators A. Bovier, J. {\v C}ern{\'y}, V. Gayrard for their help with this work. We also would like to thank Heiko Bauke for illuminating discussions and private communication of his PhD thesis. This paper is based on a series of lectures given at the Summer School “Spin Glasses” at Institut Henri Poincar{\'e} in June 2007. We thank the organizers Anne Boutet de Monvel, Anton Bovier, and Michel Talagrand for their invitation. Publisher Copyright: {\textcopyright} 2009, Birkh{\"a}user Verlag Basel/Switzerland.",

year = "2009",

doi = "10.1007/978-3-7643-9891-0_2",

language = "English (US)",

series = "Progress in Probability",

publisher = "Birkhauser",

pages = "45--84",

booktitle = "Progress in Probability",

}