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.
Marius Dadarlat
Purdue University
Søren Eilers
University of Copenhagen
Asger Törnquist
University of Copenhagen


Søren Eilers


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