Real Second-Order Freeness and Fluctuations of Random Matrices

We introduce real second-order freeness in second-order noncommutative probability spaces. We demonstrate that under this definition, independent ensembles of the three real models of random matrices which we consider, namely real Ginibre matrices, Gaussian orthogonal matrices, and real Wishart mat...

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Bibliographic Details
Main Author: REDELMEIER, CATHERINE EMILY ISKA
Other Authors: Queen's University (Kingston, Ont.). Theses (Queen's University (Kingston, Ont.))
Language:en
en
Published: 2011
Subjects:
Online Access:http://hdl.handle.net/1974/6711