Ergodic exponential maps with escaping singular behaviours
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866915918108426240 |
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| author | Cui, Weiwei Wang, Jun |
| author_facet | Cui, Weiwei Wang, Jun |
| contents | We construct exponential maps for which the singular value tends to infinity under iterates while the maps are ergodic. This is in contrast with a result of Lyubich from 1987 which tells that $e^z$ is not ergodic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_10565 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Ergodic exponential maps with escaping singular behaviours Cui, Weiwei Wang, Jun Dynamical Systems Complex Variables 37F10, 30D05 We construct exponential maps for which the singular value tends to infinity under iterates while the maps are ergodic. This is in contrast with a result of Lyubich from 1987 which tells that $e^z$ is not ergodic. |
| title | Ergodic exponential maps with escaping singular behaviours |
| topic | Dynamical Systems Complex Variables 37F10, 30D05 |
| url | https://arxiv.org/abs/2308.10565 |