Title: Quantum stochastic processes with monotonically independent increments
Speaker: Uwe Franz, University of Franche-Comte
Time: 15:00-16:00, 25 August, Place: Room 522, Gewu Building
Abstract: We will recall the definition of Muraki's monotone independence and introduce the associated increment processes. We will show that the reciprocal Cauchy transforms of these processes form evolution families of holomorphic self-maps of the upper half plane. Conversely, we will show how such increment processes can be reconstructed from evolution families. Based on joint work with Takahiro Hasebe, Ikkei Hotta, and Sebastian Schleissinger.
