Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems
classification
🧮 math.OA
math.PR
keywords
q-circularsystemnon-commutativerandomtoriunitariesasymptoticasymptotically
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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.
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