Natural extensions for α-Rosen continued fractions

Cornelis Kraaikamp; Thomas A. Schmidt; Ionica Smeets

doi:10.2969/jmsj/06220649

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 Kraaikamp, Thomas A. Schmidt, Ionica Smeets

著者情報

キーワード: Rosen fractions, natural extensions, entropy

ジャーナルフリー

2010 年 62 巻 2 号 p. 649-671

DOI https://doi.org/10.2969/jmsj/06220649

詳細

抄録

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.