Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disc

Filippo Bracci

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arXiv · 1907.07098

Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disc

Filippo Bracci

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Abstract

We introduce three quantities related to orbits of non-elliptic continuous semigroups of holomorphic self-maps of the unit disc, the total speed, the orthogonal speed and the tangential speed and show how they are related and what can be inferred from those.

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Filippo Bracci. 2019-07-16. Speeds of convergence of orbits of non-elliptic semigroups of holomorphic self-maps of the unit disc. https://arxiv.org/abs/1907.07098

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