A new REM conjecture
概率论
2007-05-23 v1
摘要
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 -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.
引用
@article{arxiv.math/0612373,
title = {A new REM conjecture},
author = {Gerard Ben Arous and Veronique Gayrard and Alexey Kuptsov},
journal= {arXiv preprint arXiv:math/0612373},
year = {2007}
}
备注
34 pages