Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems

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We consider the concept of a q-circular system, which is a deformation of the circular system from free probability, taking place in the framework of the so-called 'q-commutation relations'. We show that certain averages of random unitaries in non-commutative tori behave asymptotically like a q-circular system.
32 pages, LaTeX 2.09

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Operator Algebras, Probability, 46L50, 81S25

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http://salesiana.dossiersoluciones.com/handle/123456789/135551

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001098
 http://arxiv.org/abs/math/0001098
 Indiana University Mathematical Journal, 50 (2001), 953-987

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arXiv