Fractional Iterates and Oscillatory Convergence
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915687884128256 |
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| author | Finch, Steven |
| author_facet | Finch, Steven |
| contents | The simple continued fractions for the Golden & Silver means are well-known. It is astonishing that, as far as we know, no one has published half-iterates (let alone quarter-iterates) for the corresponding algorithms. We also examine the cosine and logistic maps (with parameter $2 < λ< 3$). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional Iterates and Oscillatory Convergence Finch, Steven Number Theory Discrete Mathematics 11B37 (Primary), 11Y65, 26A18, 39B22, 39-08, 41A60, 65Q20 (Secondary) The simple continued fractions for the Golden & Silver means are well-known. It is astonishing that, as far as we know, no one has published half-iterates (let alone quarter-iterates) for the corresponding algorithms. We also examine the cosine and logistic maps (with parameter $2 < λ< 3$). |
| title | Fractional Iterates and Oscillatory Convergence |
| topic | Number Theory Discrete Mathematics 11B37 (Primary), 11Y65, 26A18, 39B22, 39-08, 41A60, 65Q20 (Secondary) |
| url | https://arxiv.org/abs/2510.25606 |