Athanasios Tsantaris

collaborators

3 papers

math.CV2023

Quasiconformal curves and quasiconformal maps in metric spaces

Lauri Hitruhin, Athanasios Tsantaris

In this paper we study quasiconformal curves which are a special case of quasiregular curves. Namely embeddings $Ω \to R^{m}$ from some domain $Ω \subset R^{n}$ t…

math.CV2022

Finite distortion curves: Continuity, Differentiability and Lusin's (N) property

Lauri Hitruhin, Athanasios Tsantaris

We define finite distortion $ω$ -curves and we show that for some forms $ω$ and when the distortion function is sufficiently exponentially integrable the map is continuous, differen…

math.DS2020

Julia sets of Zorich maps

Athanasios Tsantaris

The Julia set of the exponential family $E_{κ} : z \mapsto κ e^{z}$ , $κ > 0$ was shown to be the entire complex plane when $κ > 1/ e$ essentially by Misiurewicz. Later, Devaney and Krych showed…