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arXiv:2510.25606 · v4

Fractional Iterates and Oscillatory Convergence

首次提交 2025-10-29 23:14
版本更新 2026-10-29 21:49
雷达观测 2026-10-30 13:28
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摘要

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 $2 < λ< 3$).

作者备注:15 pages; corrigendum & addendum

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v4 · 2026-10-29 21:49 · 最新观测版本

Fractional Iterates and Oscillatory Convergence

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 $2 < λ< 3$).

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