1 citations · 1 across the 1 of their papers we have counts for
5 papers
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…
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…
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…
The Retrieval Phase of the Hopfield Model: A Rigorous Analysis of the Overlap Distribution
Anton Bovier, Véronique Gayrard
Standard large deviation estimates or the use of the Hubbard-Stratonovich transformation reduce the analysis of the distribution of the overlap parameters essentially to that of an…
An almost sure large deviation principle for the Hopfield model
Anton Bovier, Véronique Gayrard
We prove a large deviation principle for the finite dimensional marginals of the Gibbs distribution of the macroscopic `overlap'-parameters in the Hopfield model in the case where…