Quilting natural extensions for alpha-Rosen Fractions

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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.
17 pages, 8 figures

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Number Theory, 11K50, 37A45, 37A35

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http://salesiana.dossiersoluciones.com/handle/123456789/231533

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.4588
 http://arxiv.org/abs/0905.4588

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arXiv