On the Relation Between the Gaussian Orthogonal Ensemble and Reflections, or a Self-Adjoint Version of the Marcus–Pisier Inequality
Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 313-320
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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.
Wagner, Roy. On the Relation Between the Gaussian Orthogonal Ensemble and Reflections, or a Self-Adjoint Version of the Marcus–Pisier Inequality. Canadian mathematical bulletin, Tome 49 (2006) no. 2, pp. 313-320. doi: 10.4153/CMB-2006-032-6
@article{10_4153_CMB_2006_032_6,
author = {Wagner, Roy},
title = {On the {Relation} {Between} the {Gaussian} {Orthogonal} {Ensemble} and {Reflections,} or a {Self-Adjoint} {Version} of the {Marcus{\textendash}Pisier} {Inequality}},
journal = {Canadian mathematical bulletin},
pages = {313--320},
year = {2006},
volume = {49},
number = {2},
doi = {10.4153/CMB-2006-032-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-032-6/}
}
TY - JOUR AU - Wagner, Roy TI - On the Relation Between the Gaussian Orthogonal Ensemble and Reflections, or a Self-Adjoint Version of the Marcus–Pisier Inequality JO - Canadian mathematical bulletin PY - 2006 SP - 313 EP - 320 VL - 49 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-032-6/ DO - 10.4153/CMB-2006-032-6 ID - 10_4153_CMB_2006_032_6 ER -
%0 Journal Article %A Wagner, Roy %T On the Relation Between the Gaussian Orthogonal Ensemble and Reflections, or a Self-Adjoint Version of the Marcus–Pisier Inequality %J Canadian mathematical bulletin %D 2006 %P 313-320 %V 49 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-032-6/ %R 10.4153/CMB-2006-032-6 %F 10_4153_CMB_2006_032_6
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