6 papers · 1 filter
Strict Wick-type deformation quantization on Riemann surfaces: Rigidity and Obstructions
Daniela Kraus, Oliver Roth, Sebastian Schleissinger +1
Let be a hyperbolic Riemann surface. We study a convergent Wick-type star product on which is induced by the canonical convergent star product $\star_{\mathbb{D}}…
Nonlinear resolvents and decreasing Loewner chains
Ikkei Hotta, Sebastian Schleißinger, Toshiyuki Sugawa
In this article we prove that nonlinear resolvents of infinitesimal generators on bounded and convex subdomains of $\C^n$ are decreasing Loewner chains. Furthermore, we consider th…
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…
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…