Mock-Gaussian behaviour for linear statistics of classical compact groups

C. P. Hughes, Z. Rudnick

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the scaling limit of linear statistics for eigenphases of a matrix taken from one of the classical compact groups. We compute their moments and find that the first few moments are Gaussian, whereas the limiting distribution is not. The precise number of Gaussian moments depends upon the particular statistic considered.

Original languageEnglish
Pages (from-to)2919-2932
Number of pages14
JournalJournal of Physics A: Mathematical and General
Volume36
Issue number12 SPEC. ISS.
DOIs
StatePublished - 28 Mar 2003

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