5 papers
Simultaneous linearization and centralizers of parabolic self-maps II: positive hyperbolic step
Manuel D. Contreras, Santiago DÃaz-Madrigal, Santiago Díaz-Madrigal +1
The study of holomorphic self-mappings of the unit disc commuting under the composition goes back to A.L. Shields (1964), W.A. Pranger (1970), D.F. Behan (1973), and C.C. Cowen (19…
Loewner Theory for Bernstein functions II: applications to inhomogeneous continuous-state branching processes
Pavel Gumenyuk, Takahiro Hasebe, José-Luis Pérez
This paper continues the research project launched in [Constr. Approx. (2025) https://doi.org/10.1007/s00365-023-09675-9] and aimed at studying time-inhomogeneous one-dimensional b…
Simultaneous linearization and centralizers of parabolic self-maps I: zero hyperbolic step
Manuel D. Contreras, Santiago DÃaz-Madrigal, Pavel Gumenyuk
Let be a parabolic self-map of the unit disc having zero hyperbolic step. We study holomorphic self-maps of commuting with …
Hyperbolic convexity of holomorphic level sets
Iason Efraimidis, Pavel Gumenyuk
We prove that the sublevel set , , is geodesically convex with re…
Hyperbolic distortion and conformality at the boundary
Pavel Gumenyuk, Maria Kourou, Annika Moucha +1
We characterize two classical types of conformality of a holomorphic self-map of the unit disk at a boundary point - existence of a finite angular derivative in the sense of Carath…