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In and Out of Equilibrium 2A New REM Conjecture

In and Out of Equilibrium 2: A New REM Conjecture [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.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

In and Out of Equilibrium 2A New REM Conjecture

Part of the Progress in Probability Book Series (volume 60)
Editors: Sidoravicius, Vladas; Vares, Maria Eulália
Arous, Gérard Ben; Gayrard, Véronique; Kuptsov, Alexey
In and Out of Equilibrium 2 — Jan 1, 2008
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References (19)

Publisher
Birkhäuser Basel
Copyright
© Birkhäuser Basel 2008
ISBN
978-3-7643-8785-3
Pages
59 –96
DOI
10.1007/978-3-7643-8786-0_4
Publisher site
See Chapter on Publisher Site

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.]

Published: Jan 1, 2008

Keywords: Statistical mechanics; disordered media; spin-glasses; 82B44; 60F99

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