14 citations · 33 across the 17 of their papers we have counts for
4 papers · 1 filter
Problems related to conformal slit-mappings
Ikkei Hotta, Sebastian Schleißinger
In this note we discuss some problems related to conformal slit-mappings. On the one hand, classical Loewner theory leads us to questions concerning the embedding of univalent func…
A quantum remark on biholomorphic mappings on the unit ball
Sebastian Schleißinger
In this note we regard non-commutative probability theory with operator-valued expectation. We show that the moment generating functions of distributions coming from monotone incre…
Monotone Increment Processes, Classical Markov Processes, and Loewner Chains
Uwe Franz, Takahiro Hasebe, Sebastian Schleißinger
We prove one-to-one correspondences between certain decreasing Loewner chains in the upper half-plane, a special class of real-valued Markov processes, and quantum stochastic proce…
Loewner's Differential Equation and Spidernets
Sebastian Schleißinger
We regard a certain type of Loewner's differential equation from a quantum probability point of view and approximate the underlying quantum process by the adjacency matrices of gro…