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.
Illinois J. Math.
67(1):
185-202
(April 2023).
DOI: 10.1215/00192082-10346693
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