Quilting natural extensions for alpha-Rosen Fractions
Number Theory
2009-05-29 v1
Abstract
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.
Cite
@article{arxiv.0905.4588,
title = {Quilting natural extensions for alpha-Rosen Fractions},
author = {Cor Kraaikamp and Thomas A. Schmidt and Ionica Smeets},
journal= {arXiv preprint arXiv:0905.4588},
year = {2009}
}
Comments
17 pages, 8 figures