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arXiv · 0905.4588

Quilting natural extensions for alpha-Rosen Fractions

Cor Kraaikamp·Thomas A. Schmidt·Ionica Smeets
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Abstract

We give natural extensions for the alpha-Rosen continued fractions of Dajani et al. for a set of small alpha values by appropriately adding and deleting rectangles from the region of the natural extension for the standard Rosen fractions. It follows that the underlying maps have equal entropy.

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Cor Kraaikamp, Thomas A. Schmidt, Ionica Smeets. 2009-05-28. Quilting natural extensions for alpha-Rosen Fractions. https://arxiv.org/abs/0905.4588

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