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Some properties of truncated Haar unitary random matrices
by
Jonathan Novak
Queen's University
The spectrum of a Haar unitary random matrix is a determinantal point process on the unit circle, while the spectra of its submatrices are determinantal processes in the unit disc. We derive formulas for the moments of the norm of the trace of such submatrices. This leads to connections between random matrix theory, the enumeration of lattice walks confined to Weyl chambers, and Toeplitz determinants of Bessel functions.
Date received: May 4, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawx-20.