A Quick Derivation of the Loop Equations for Random Matrices

Simple item page
dc.creatorErcolani, N. M.
dc.creatorMcLaughlin, K. D. T-R
dc.date2006-09-18
dc.date.accessioned2026-07-07T07:24:21Z
dc.date.available2026-07-07T07:24:21Z
dc.descriptionThe "loop equations" of random matrix theory are a hierarchy of equations born of attempts to obtain explicit formulae for generating functions of map enumeration problems. These equations, originating in the physics of 2-dimensional quantum gravity, have lacked mathematical justification. The goal of this paper is to provide a complete and short proof, relying on a recently established complete asymptotic expansion for the random matrix theory partition function.
dc.descriptionSubmitted to the MSRI Volume related to the Workshop "Probability, Geometry and Integrable Systems", in celebration of Henry McKean's 75th birthday
dc.identifierhttps://arxiv.org/abs/math-ph/0609048
dc.identifierhttp://arxiv.org/abs/math-ph/0609048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116315
dc.subjectMathematical Physics
dc.titleA Quick Derivation of the Loop Equations for Random Matrices
dc.typetext

Files

Collections

arXiv