Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Natural extensions for α-Rosen continued fractions
Cornelis KraaikampThomas A. SchmidtIonica Smeets
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2010 年 62 巻 2 号 p. 649-671

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We give natural extensions for the α-Rosen continued fractions of Dajani et al. for a set of small α 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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© 2010 The Mathematical Society of Japan
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