Event Details

Lévy processes in the noncommutative framework

The notion of Lévy process can be transported from the classical probability to noncommutative setting; in particular, it can be defined on *-bialgebras or compact quantum groups. Such processes are still in correspondence with convolution semigroup of states and, consequently, with their generators. During my talk, I will discuss different questions arising in this area, such as the existence of the analogue of Lévy-Khinchine formula, its relation to Hochschild cohomology, symmetries of processes and a construction of Dirichlet forms.