Optimal soft edge scaling variables for the Gaussian and Laguerre even β ensembles

The β ensembles are a class of eigenvalue probability densities which generalise the invariant ensembles of classical random matrix theory. In the case of the Gaussian and Laguerre weights, the corresponding eigenvalue densities are known in terms of certain β dimensional integrals. We study the lar...

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Bibliographic Details
Main Authors: Peter J. Forrester, Allan K. Trinh
Format: Article
Language:English
Published: Elsevier 2019-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321318303468