52 citations · 99 across the 6 of their papers we have counts for
5 papers · 1 filter
The local limit of rooted directed animals on the square lattice
Olivier Hénard, Édouard Maurel-Segala, Arvind Singh
We consider the local limit of finite uniformly distributed directed animals on the square lattice viewed from the root. Two constructions of the resulting uniform infinite directe…
Free transport-entropy inequalities for non-convex potentials and application to concentration for random matrices
Mylène Maïda, Édouard Maurel-Segala
Talagrand's inequalities make a link between two fundamentals concepts of probability: transport of measures and entropy. The study of the counterpart of these inequalities in the…
High order expansion of matrix models and enumeration of maps
Edouard Maurel-Segala
Perturbation of the GUE are known in physics to be related to enumeration of graphs on surfaces. We investigate this idea and show that for a small convex perturbation, we can perf…
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…