Iteration of Exponentials with Sign Changes
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909263828353024 |
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| author | Mazet, Pierre Halberstadt, Emmanuel |
| author_facet | Mazet, Pierre Halberstadt, Emmanuel |
| contents | In this paper we consider the iteration of infinitely many signed exponentials with the same base but the signs may vary. We show that for every base in an explicit interval this iteration converges for any sequence of signs and all the real numbers are possible limits. We give some more results for a base outside this interval. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_15210 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iteration of Exponentials with Sign Changes Mazet, Pierre Halberstadt, Emmanuel Dynamical Systems 26A18 In this paper we consider the iteration of infinitely many signed exponentials with the same base but the signs may vary. We show that for every base in an explicit interval this iteration converges for any sequence of signs and all the real numbers are possible limits. We give some more results for a base outside this interval. |
| title | Iteration of Exponentials with Sign Changes |
| topic | Dynamical Systems 26A18 |
| url | https://arxiv.org/abs/2407.15210 |