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most citedA new REM conjecture

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math.PR2006★ 1 cited

A new REM conjecture

Gerard Ben Arous, Veronique Gayrard, Alexey Kuptsov

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…

math.PR2000

Metastability and low lying spectra in reversible Markov chains

A. Bovier, M. Eckhoff, V. Gayrard +1

We study a large class of reversible Markov chains with discrete state space and transition matrix . We define the notion of a set of {\it metastable points} as a subset of th…

math.PR1999

Sample path large deviations for a class of Markov chains related to disordered mean field models

Anton Bovier, Veronique Gayrard

We prove a large deviation principle on path space for a class of discrete time Markov processes whose state space is the intersection of a regular domain with some…