Mock-Gaussian behaviour for linear statistics of classical compact groups

C. P. Hughes; Z. Rudnick

doi:10.1088/0305-4470/36/12/304

Mock-Gaussian behaviour for linear statistics of classical compact groups

C. P. Hughes, Z. Rudnick

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2919-2932
Number of pages	14
Journal	Journal of Physics A: Mathematical and General
Volume	36
Issue number	12 SPEC. ISS.
DOIs	https://doi.org/10.1088/0305-4470/36/12/304
State	Published - 28 Mar 2003

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Mock-Gaussian behaviour for linear statistics of classical compact groups

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