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arXiv · 2207.10110

Quasi-geodesics and backward orbits under semigroups of holomorphic functions

Konstantinos Zarvalis
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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.

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Konstantinos Zarvalis. 2022-07-20. Quasi-geodesics and backward orbits under semigroups of holomorphic functions. https://arxiv.org/abs/2207.10110

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