Quilting natural extensions for alpha-Rosen Fractions

Details Quilting natural extensions for alpha-Rosen Fractions Quilting natural extensions for alpha-Rosen Fractions

2009-05-28

arxiv.org/abs/0905.4588v1

Mathematics

Number Theory

17 pages, 8 figures

Scientific paper

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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