Publication

A new REM conjecture

Véronique Gayrard
2008
Conference paper

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.

Official source

https://infoscience.epfl.ch/record/160641?ln=en

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A new REM conjecture

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