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Uwe Franz--Quantum stochastic processes with monotonically independent increments
发布人:尹智  发布时间:2018-08-21   浏览次数:49



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.