Mock-Gaussian Behaviour for Linear Statistics of Classical Compact Groups

Details Mock-Gaussian Behaviour for Linear Statistics of Classical Compact Groups Mock-Gaussian Behaviour for Linear Statistics of Classical Compact Groups

2002-06-27

arxiv.org/abs/math/0206289v1

Mathematics

Probability

Scientific paper

10.1088/0305-4470/36/12/304

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.

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