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

dc.creatorMingo, James A.
dc.creatorNica, Alexandru
dc.date2000-01-18
dc.date.accessioned2026-07-07T08:22:08Z
dc.date.available2026-07-07T08:22:08Z
dc.descriptionWe 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.
dc.description32 pages, LaTeX 2.09
dc.identifierhttps://arxiv.org/abs/math/0001098
dc.identifierhttp://arxiv.org/abs/math/0001098
dc.identifierIndiana University Mathematical Journal, 50 (2001), 953-987
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135551
dc.subjectOperator Algebras
dc.subjectProbability
dc.subject46L50, 81S25
dc.titleRandom unitaries in non-commutative tori, and an asymptotic model for q-circular systems
dc.typetext

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