74 citations · 179 across the 25 of their papers we have counts for
33 papers
Stability of Blaschke products under forward iteration
Daniela Kraus, Annika Moucha, Oliver Roth
Forward iteration of holomorphic self-maps generalizes the iteration of a single function in a natural way. This framework arises in complex dynamics, for instance in the study of…
The strong form of the Ahlfors-Schwarz lemma at the boundary and a rigidity result for Liouville's equation
Filippo Bracci, Daniela Kraus, Oliver Roth
We prove a boundary version of the strong form of the Ahlfors-Schwarz lemma with optimal error term. This result provides nonlinear extensions of the boundary Schwarz lemma of Burn…
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}}…
A sharp Bernstein-type inequality and application to the Carleson embedding theorem with matrix weights
Daniela Kraus, Annika Moucha, Oliver Roth
We prove a sharp Bernstein-type inequality for complex polynomials which are positive and satisfy a polynomial growth condition on the positive real axis. This leads to an improved…
Visual Testing of GUIs by Abstraction
Daniel Kraus, Jeremias Rößler, Martin Sulzmann
Ensuring the correct visual appearance of graphical user interfaces (GUIs) is important because visual bugs can cause substantial losses for businesses. An application might behave…
Blow--up Solutions of Liouville's Equation and Quasi--Normality
Jürgen Grahl, Daniela Kraus, Oliver Roth
We prove that the family of all meromorphic functions on a domain with the property that the spherical area of the image domain $f(D)…