Natural Extensions for Α − Rosen Continued Fractions

  title={Natural Extensions for Α − Rosen Continued Fractions},
  author={CORNELIS and Anne Thomas and IONICA},
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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