79 citations · 239 across the 24 of their papers we have counts for
19 papers · 1 filter
Mixed memories in Hopfield networks
Véronique Gayrard
We consider the class of Hopfield models of associative memory with activation function and state space , where each vertex of the cube describes a configuration of…
Emergence of near-TAP free energy functional in the SK model at high temperature
Véronique Gayrard
We study the SK model at inverse temperature and strictly positive field in the region of where the replica-symmetric formula is valid. An integral representati…
Dynamic phase diagram of the REM
Véronique Gayrard, Lisa Hartung
By studying the two-time overlap correlation function, we give a comprehensive analysis of the phase diagram of the Random Hopping Dynamics of the Random Energy Model (REM) on time…
Asymptotic behavior and aging of a low temperature cascading 2-GREM dynamics at extreme time scales
Luiz Renato Fontes, Véronique Gayrard
We derive scaling limit results for the Random Hopping Dynamics for the cascading two-level GREM at low temperature at extreme time scales. It is known that in the cascading regime…
Aging in Metropolis dynamics of the REM: a proof
Véronique Gayrard
We study the aging behavior of the Random Energy Model (REM) evolving under Metropolis dynamics. We prove that a classical two-time correlation function converges almost surely to…
Aging in the GREM-like trap model
Véronique Gayrard, Onur Gün
The GREM-like trap model is a continuous time Markov jump process on the leaves of a finite volume -level tree whose transition rates depend on a trapping landscape built on the…
Convergence of clock processes and aging in Metropolis dynamics of a truncated REM
Véronique Gayrard
We study the aging behavior of a truncated version of the Random Energy Model evolving under Metropolis dynamics. We prove that the natural time-time correlation function defined t…
Convergence of clock processes on infinite graphs and aging in Bouchaud's asymmetric trap model on
Véronique Gayrard, Adela Svejda
Using a method developed by Durrett and Resnick [22] we establish general criteria for the convergence of properly rescaled clock processes of random dynamics in random environment…
The K-process on a tree as a scaling limit of the GREM-like trap model
L. R. G. Fontes, R. J. Gava, V. Gayrard
We introduce trap models on a finite volume -level tree as a class of Markov jump processes with state space the leaves of that tree. They serve to describe the GREM-like trap m…
Scaling limits and aging for asymmetric trap models on the complete graph and K-processes
S. C. Bezerra, L. R. G. Fontes, R. J. Gava +2
We obtain scaling limit results for asymmetric trap models and their infinite volume counterparts, namely asymmetric K processes. Aging results for the latter processes are derived…
Convergence to extremal processes in random environments and extremal ageing in SK models
Anton Bovier, Veronique Gayrard, Adela Svejda
This paper extends recent results on aging in mean field spin glasses on short time scales, obtained by Ben Arous and Gun [2] in law with respect to the environment, to results tha…
Aging in reversible dynamics of disordered systems. I. Emergence of the arcsine law in Bouchaud's asymmetric trap model on the complete graph
Véronique Gayrard
In this paper the celebrated arcsine aging scheme of G. Ben Arous and J. Cerný is taken up. Using a brand new approach based on point processes and weak convergence techniques, thi…
Aging in reversible dynamics of disordered systems. II. Emergence of the arcsine law in the random hopping time dynamics of the REM
Véronique Gayrard
Applying the new tools developed in [G1], we investigate the arcsine aging regime of the random hopping time dynamics of the REM. Our results are optimal in several ways. They cove…
Convergence of clock processes in random environments and ageing in the p-spin SK model
Anton Bovier, Véronique Gayrard
We derive a general criterion for the convergence of clock processes in random dynamics in random environments that is applicable in cases when correlations are not negligible, ext…
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…
Hitting time of large subsets of the hypercube
Jiri Cerny, Veronique Gayrard
We study the simple random walk on the -dimensional hypercube, in particular its hitting times of large (possibly random) sets. We give simple conditions on these sets ensuring…
Elementary potential theory on the hypercube
Gerard Ben Arous, Veronique Gayrard
This work addresses potential theoretic questions for the standard nearest neighbor random walk on the hypercube . For a large class of subsets w…
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…