Infinite-dimensional Thurston theory and transcendental dynamics II: classification of entire functions with escaping singular orbits
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866909706966007808 |
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| author | Bogdanov, Konstantin |
| author_facet | Bogdanov, Konstantin |
| contents | We classify transcendental entire functions that are compositions of a polynomial and the exponential for which all singular values escape on disjoint rays. The construction involves an iteration procedure on an infinite-dimensional Teichmüller space, analogously to the Thurston's classical Topological Characterization of Rational Functions, but for an infinite set of marked points. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2102_10728 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Infinite-dimensional Thurston theory and transcendental dynamics II: classification of entire functions with escaping singular orbits Bogdanov, Konstantin Dynamical Systems 37F10 (Primary) 37F12, 37F20 (Secondary) We classify transcendental entire functions that are compositions of a polynomial and the exponential for which all singular values escape on disjoint rays. The construction involves an iteration procedure on an infinite-dimensional Teichmüller space, analogously to the Thurston's classical Topological Characterization of Rational Functions, but for an infinite set of marked points. |
| title | Infinite-dimensional Thurston theory and transcendental dynamics II: classification of entire functions with escaping singular orbits |
| topic | Dynamical Systems 37F10 (Primary) 37F12, 37F20 (Secondary) |
| url | https://arxiv.org/abs/2102.10728 |