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arXiv · 2606.12052

Dimension of the Feigenbaum Attractor

Mark Pollicott
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Abstract

In this note we propose an effective method to estimate the dimension of the Feigenbaum attractor for the period doubling phenomenon. In particular, we will describe a way to convert the highly accurate estimates for $g$ into better estimates on $\dim(X)$.

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Mark Pollicott. 2026-06-10. Dimension of the Feigenbaum Attractor. https://arxiv.org/abs/2606.12052

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