177 citations · 872 across the 49 of their papers we have counts for
6 papers · 1 filter
Asymptotic expansion of a partition function related to the sinh-model
G. Borot, A. Guionnet, K. K. Kozlowski
This paper develops a method to carry out the large- asymptotic analysis of a class of -dimensional integrals arising in the context of the so-called quantum separation of va…
Universality in several-matrix models via approximate transport maps
Alessio Figalli, Alice Guionnet
We construct approximate transport maps for perturbative several-matrix models. As a consequence, we deduce that local statistics have the same asymptotic as in the case of indepen…
Beyond universality in random matrix theory
Alan Edelman, A. Guionnet, S. Péché
In order to have a better understanding of finite random matrices with non-Gaussian entries, we study the expansion of local eigenvalue statistics in both the bulk and at the…
Asymptotics of unitary multimatrix models: The Schwinger-Dyson lattice and topological recursion
Alice Guionnet, Jonathan Novak
We prove the existence of a 1/N expansion in unitary multimatrix models which are Gibbs perturbations of the Haar measure, and express the expansion coefficients recursively in ter…
Convergence of eigenvalues to the support of the limiting measure in critical matrix models
Chenjie Fan, Alice Guionnet, Yuqi Song +1
We consider the convergence of the eigenvalues to the support of the equilibrium measure in the ensemble models under a critical condition. We show a phase transition phenomeno…
Central limit theorem and convergence of the support for Wishart matrices with correlated entries
Kevin Richard, Alice Guionnet
In this article, we will consider Wishart Matrices with correlated entries, but with a strictly log-concave law. It has been shown by A.Pajor and L.Pastur that the empirical measur…