79 citations · 239 across the 24 of their papers we have counts for
28 papers
Integral Means Spectrum for the Random Riemann Zeta Function
Bertrand Duplantier, Véronique Gayrard, Eero Saksman
We study the integral means spectrum associated with the analytic function whose derivative is the so-called randomized Riemann zeta-function, introduced some time ago by Bagchi. T…
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…