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.


Published in:
In And Out Of Equilibrium 2, 60, 59-96
Presented at:
Joint Meeting of the 10th Brazilian School of Probability/69th Annual Meeting of the Institute-of-Mathematical-Statistics, Rio de Janeiro, BRAZIL, Jul 30, 2006-Aug 04, 2008
Year:
2008
Publisher:
Birkhauser Boston, C/O Springer-Verlag, Service Center, 44 Hartz Way, Secaucus, Nj 07096-2491 Usa
ISBN:
978-3-7643-8785-3
Keywords:
Laboratories:




 Record created 2010-11-30, last modified 2018-03-17


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