6 papers
Limits of radial multiple SLE and a Burgers-Loewner differential equation
Ikkei Hotta, Sebastian Schleißinger
We consider multiple radial SLE as the number of curves tends to infinity. We give conditions that imply the tightness of the associated processes given by the Loewner equation. In…
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…
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…
On the parametric representation of univalent functions on the polydisc
Sebastian Schleißinger
We consider support points of the class of normalized univalent mappings on the polydisc with parametric representation and we prove sharp estima…
Multiple SLE and the complex Burgers equation
Andrea del Monaco, Sebastian Schleissinger
In this paper we ask whether one can take the limit of multiple SLE as the number of slits goes to infinity. In the special case of slits that connect points of the boundar…