Combinatorial aspects of matrix models

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dc.creatorGuionnet, Alice
dc.creatorMaurel-Segala, Édouard
dc.date2005-03-03
dc.date2005-06-21
dc.date.accessioned2026-07-07T05:17:38Z
dc.date.available2026-07-07T05:17:38Z
dc.descriptionWe show that under reasonably general assumptions, the first order asymptotics of the free energy of matrix models are generating functions for colored planar maps. This is based on the fact that solutions of the Schwinger-Dyson equations are, by nature, generating functions for enumerating planar maps, a remark which bypasses the use of Gaussian calculus.
dc.description35 pages, 3 figures; corrected typos, additional section
dc.identifierhttps://arxiv.org/abs/math/0503064
dc.identifierhttp://arxiv.org/abs/math/0503064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74379
dc.subjectProbability
dc.subject15A52, 46L50, 05C30
dc.titleCombinatorial aspects of matrix models
dc.typetext

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