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A note on the tensor product of two random unitary matrices

   
@article{ECP2484,
	author = {Tomasz Tkocz},
	title = {A note on the tensor product of two random unitary matrices},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {18},
	year = {2013},
	keywords = {Random matrices; Circular Unitary Ensemble; Tensor product; Sine point process; Poisson point process},
	abstract = {In this note we consider the point process of eigenvalues of the tensor product of two independent random unitary matrices of size m by m and n by 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.},
	pages = {no. 16, 1-7},
	issn = {1083-589X},
	doi = {10.1214/ECP.v18-2484},    
        url = {http://ecp.ejpecp.org/article/view/2484}}