Abstract
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 hyperbolic distance of the unit disk. Then we show that backward orbits satisfy a useful property, this time in Euclidean terms.
Citation
Konstantinos Zarvalis. "Quasi-geodesics and backward orbits under semigroups of holomorphic functions." Illinois J. Math. 67 (1) 185 - 202, April 2023. https://doi.org/10.1215/00192082-10346693
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