177 citations · 872 across the 49 of their papers we have counts for
3 papers · 2 filters
Limiting dynamics for spherical models of spin glasses at high temperature
Amir Dembo, Alice Guionnet, Christian Mazza
We analyze the coupled non-linear integro-differential equations whose solutions is the thermodynamical limit of the empirical correlation and response functions in the Langevin dy…
Asymptotics of unitary and othogonal matrix integrals
Benoit Collins, Alice Guionnet, Edouard Maurel-Segala
In this paper, we prove that in small parameter regions, arbitrary unitary matrix integrals converge in the large limit and match their formal expansion. Secondly we give a com…
Second order asymptotics for matrix models
Alice Guionnet, Edouard Maurel-Segala
We study several-matrix models and show that when the potential is convex and a small perturbation of the Gaussian potential, the first order correction to the free energy can be e…