Asymptotics of the partition function of a Laguerre-type random matrix model

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Original languageEnglish
Pages (from-to)64-90
Journal / PublicationJournal of Approximation Theory
Online published8 Dec 2013
Publication statusPublished - Jan 2014


We study asymptotics of the partition function Z N of a Laguerre-type random matrix model when the matrix order N tends to infinity. By using the Deift-Zhou steepest descent method for Riemann-Hilbert problems, we obtain an asymptotic expansion of log Z N in powers of N -2. © 2013 Elsevier Inc.

Research Area(s)

  • Asymptotic expansion, Laguerre-type, Partition function, Riemann-Hilbert approach