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On the Relation Between the Gaussian Orthogonal Ensemble and Reflections, or a Self-Adjoint Version of the Marcus–Pisier Inequality

Published online by Cambridge University Press:  20 November 2018

Roy Wagner
Roy Wagner*
Affiliation:
Computer Science Department, Academic College of Tel-Aviv-Yaffo, Israel e-mail: rwagner@mta.ac.il
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Abstract

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We prove a self-adjoint analogue of the Marcus–Pisier inequality, comparing the expected value of convex functionals on random reflection matrices and on elements of the Gaussian orthogonal (or unitary) ensemble.

Keywords

15A5246B0946L54
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 49 , Issue 2 , 01 June 2006 , pp. 313 - 320
Copyright
Copyright © Canadian Mathematical Society 2006

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