A limit theorem for products of free unitary operators |
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| Authors: | Vladislav Kargin |
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| Institution: | (1) Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA |
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| Abstract: | This paper establishes necessary and sufficient conditions for the sequence of products of freely independent unitary operators
to converge in distribution to the uniform law on the unit circle.
The author would like to express his gratitude to Diana Bloom for her help with editing, and to Professor Raghu Varadhan for
useful discussions. |
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| Keywords: | Free probability Free multiplicative convolution Unitary operators Limit theorem |
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