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A note on the tensor product of two random unitary matrices
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Tkocz, Tomasz (2013) A note on the tensor product of two random unitary matrices. Electronic communications in probability, Volume 18 . Article number 16. doi:10.1214/ECP.v18-2484 ISSN 1083-589X.
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Official URL: http://dx.doi.org/10.1214/ECP.v18-2484
Abstract
In this note we consider the point process of eigenvalues of the tensor product of two independent random unitary matrices of size m x m and n x n. When n becomes large, the process behaves like the superposition of m independent sine processes. When m and n go to infinity, we obtain the Poisson point process in the limit.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||
Library of Congress Subject Headings (LCSH): | Tensor products, Matrices | ||||
Journal or Publication Title: | Electronic communications in probability | ||||
Publisher: | University of Washington. Dept. of Mathematics | ||||
ISSN: | 1083-589X | ||||
Official Date: | 28 February 2013 | ||||
Dates: |
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Volume: | Volume 18 | ||||
Page Range: | Article number 16 | ||||
DOI: | 10.1214/ECP.v18-2484 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Date of first compliant deposit: | 25 December 2015 | ||||
Date of first compliant Open Access: | 25 December 2015 |
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