4 papers
Rates of convergence for holomorphic semigroups of finite shift
Maria Kourou, Eleftherios K. Theodosiadis, Konstantinos Zarvalis
We study parabolic semigroups of finite shift in the unit disk with regard to the rate of convergence of their orbits to the Denjoy--Wolff point. We examine this rate in terms of E…
Geometric description of some Loewner chains with infinitely many slits
Eleftherios Theodosiadis, Konstantinos Zarvalis
We study the chordal Loewner equation associated with certain driving functions that produce infinitely many slits. Specifically, for a choice of a sequence of positive numbers $(b…
Speeds of Convergence for Petals of Semigroups of Holomorphic Functions
Maria Kourou, Konstantinos Zarvalis
We study the backward dynamics of one-parameter semigroups of holomorphic self-maps of the unit disk. More specifically, we introduce the speeds of convergence for petals of the se…
Quasi-geodesics and backward orbits under semigroups of holomorphic functions
Konstantinos Zarvalis
We explore two properties of backward orbits under semigroups of holomorphic self-maps in the unit disk. First, we prove that regular backward orbits are quasi-geodesics for the hy…