Monatshefte für Mathematik

, Volume 166, Issue 1, pp 121–144 | Cite as

Ensemble averages when β is a square integer

  • Christopher D. SinclairEmail author


We give a hyperpfaffian formulation of partition functions and ensemble averages for Hermitian and circular ensembles when L is an arbitrary integer and β = L 2 and when L is an odd integer and β = L 2 + 1.


Random matrix theory Partition function Pfaffian Hyperpfaffian Selberg integral 

Mathematics Subject Classification (2010)

15B52 82C22 60G55 


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Supplementary material

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of OregonEugeneUSA

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