Argyrios Christodoulou

activity

20182025

collaborators

11 papers

math.CV2025

Semigroup models for discrete holomorphic iteration in the unit disc

Argyrios Christodoulou, Konstantinos Zarvalis

The main goal of this article is to develop a technique that allows us to partially embed the orbit of any holomorphic self-map $f$ of the disc, into a semigroup which captures the…

math.DS2025

A note on the boundary dynamics of holomorphic iterated function systems

Argyrios Christodoulou

We consider the boundary dynamics of iterated function systems of holomorphic self-maps of the unit disc. Our main result provides a sufficient condition which guarantees that the…

math.CV2025

Monotonicity properties of hyperbolic projections in holomorphic iteration

Argyrios Christodoulou, Konstantinos Zarvalis

We consider hyperbolic projections of orbits of holomorphic self-maps of the unit disc, onto curves landing on the unit circle with a given angle. We show that under certain, neces…

math.CV2025

Symmetrization and the rate of convergence of semigroups of holomorphic functions

Dimitrios Betsakos, Argyrios Christodoulou

Let $(ϕ_{t})$ , $t \geq 0$ , be a semigroup of holomorphic self-maps of the unit disk $D$ . Let $Ω$ be its Koenigs domain and $τ \in \partial D$ be its Denjoy-Wolff point…

math.DS2024

Self-projective sets

Argyrios Christodoulou, Natalia Jurga

Self-projective sets are natural fractal sets which describe the action of a semigroup of matrices on projective space. In recent years there has been growing interest in studying…

math.CV2021

Random iteration on hyperbolic Riemann surfaces

Marco Abate, Argyrios Christodoulou

Let ${f_{ν}}$ be a sequence of holomorphic self-maps of a hyperbolic Riemann surface $X$ . In this paper we shall study the asymptotic behavior of the sequences obtained by iterativ…