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

Canadian mathematical bulletin

关键词: total positivity;    Toeplitz matrix;    Pólya frequency sequence;    skew Schur function;   

DOI  :  10.4153/CMB-2006-032-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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

【 授权许可】

Unknown