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arXiv · 2510.25606

Fractional Iterates and Oscillatory Convergence

Steven Finch
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Abstract

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 $2 < \lambda < 3$).

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Steven Finch. 2025-10-29. Fractional Iterates and Oscillatory Convergence. https://arxiv.org/abs/2510.25606

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