Seminar

Convergence to the boundary for random walks on discrete quantum groups

Classification of operator algebras: complexity, rigidity, and dynamics

12 April 14:00 - 15:00

Bas Jordans - University of Oslo

For classical random walks there exist two boundaries: the Poisson boundary and the Martin boundary. The relation between these two boundaries is described by the so-called "convergence to the boundary". For noncommutative random walks on discrete quantum groups both the Poisson boundary and Martin boundary are defined and a noncommutative analogue of convergence to the boundary can be formulated. However, no proof is known for a such a theorem. In this talk we will compare the classical and quantum version of convergence to the boundary and study this problem for SU_q(2). Moreover we will shortly discuss the behaviour with respect to monoidal equivalence.
Organizers
Marius Dadarlat
Purdue University
Søren Eilers
University of Copenhagen
Asger Törnquist
University of Copenhagen

Program
Contact

Søren Eilers

eilers@math.ku.dk

Other
information

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