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

Filippo Bracci

Abstract


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

Keywords


Semigroups of holomorphic functions; hyperbolic geometry; dynamical systems

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References


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DOI: http://dx.doi.org/10.17951/a.2019.73.2.21-43
Date of publication: 2020-01-16 07:29:31
Date of submission: 2019-12-31 22:26:40


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