Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913943639818240 |
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| author | Bracci, Flippo Cordella, Davide Kourou, Maria |
| author_facet | Bracci, Flippo Cordella, Davide Kourou, Maria |
| contents | We show that the orthogonal speed of semigroups of holomorphic self-maps of the unit disc is asymptotically monotone in most cases. Such a theorem allows to generalize previous results of D. Betsakos and D. Betsakos, M. D. Contreras and S. Díaz-Madrigal and to obtain new estimates for the rate of convergence of orbits of semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_09983 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc Bracci, Flippo Cordella, Davide Kourou, Maria Complex Variables Dynamical Systems We show that the orthogonal speed of semigroups of holomorphic self-maps of the unit disc is asymptotically monotone in most cases. Such a theorem allows to generalize previous results of D. Betsakos and D. Betsakos, M. D. Contreras and S. Díaz-Madrigal and to obtain new estimates for the rate of convergence of orbits of semigroups. |
| title | Asymptotic monotonicity of the orthogonal speed and rate of convergence for semigroups of holomorphic self-maps of the unit disc |
| topic | Complex Variables Dynamical Systems |
| url | https://arxiv.org/abs/2004.09983 |