Communications in Mathematical Physics

, Volume 265, Issue 1, pp 227–274 | Cite as

On the Averages of Characteristic Polynomials From Classical Groups

  • Daniel Bump
  • Alex GamburdEmail author


We provide an elementary and self-contained derivation of formulae for averages of products and ratios of characteristic polynomials of random matrices from classical groups using classical results due to Weyl and Littlewood.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  1. 1.Department of MathematicsStanford UniversityStanfordUSA
  2. 2.Department of MathematicsUniversity of CaliforniaSanta CruzUSA
  3. 3.School of MathematicsInstitute for Advanced StudyPrincetonUSA

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