High order expansion of matrix models and enumeration of maps

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dc.creatorMaurel-Segala, Edouard
dc.date2006-08-08
dc.date.accessioned2026-07-07T07:21:31Z
dc.date.available2026-07-07T07:21:31Z
dc.descriptionPerturbation 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 perform a genus expansion: the moments of the empirical measure can be developed into a series whose g-th term is a generating function of graphs on a surface of genus g.
dc.description35 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0608192
dc.identifierhttp://arxiv.org/abs/math/0608192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115327
dc.subjectProbability
dc.subjectCombinatorics
dc.subject15A52; 05C30
dc.titleHigh order expansion of matrix models and enumeration of maps
dc.typetext

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