@inbook{88292842069e4c3bb8a15541243a3e34,
title = "A New REM Conjecture",
abstract = "We introduce here a new universality conjecture for levels of random Hamiltonians, in the same spirit as the local REM conjecture made by S. Mertens and H. Bauke. We establish our conjecture for a wide class of Gaussian and non-Gaussian Hamiltonians, which include the p-spin models, the Sherrington-Kirkpatrick model and the number partitioning problem. We prove that our universality result is optimal for the last two models by showing when this universality breaks down.",
keywords = "disordered media, spin-glasses, Statistical mechanics",
author = "Arous, {G{\'e}rard Ben} and V{\'e}ronique Gayrard and Alexey Kuptsov",
note = "Funding Information: We thank J.Cˇ erny´´ for a helpful reading of the first versions of the manuscript. V. Gayrard thanks the Chair of Stochastic Modeling of the {\'E}cole Polytechnique F´{\'e}d{\'e}rale of Lausanne for financial support. A. Kuptsov gratefully acknowledges the support of NSF grant DMS-0102541 “Collaborative Research: Mathematical Studies of Short-Ranged Spin Glasses.” Publisher Copyright: {\textcopyright} 2008, Birkh{\"a}user Verlag Basel/Switzerland.",
year = "2008",
doi = "10.1007/978-3-7643-8786-0_4",
language = "English (US)",
series = "Progress in Probability",
publisher = "Birkhauser",
pages = "59--96",
booktitle = "Progress in Probability",
}