52 citations · 99 across the 6 of their papers we have counts for
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math.PR2006★ 16 cited
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…
math.PR2006★ 52 cited
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…
math.PR2006★ 29 cited
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…