Natural extensions for α-Rosen continued fractions
KRAAIKAMP, Cornelis ; SCHMIDT, Thomas A. ; SMEETS, Ionica
J. Math. Soc. Japan, Tome 62 (2010) no. 1, p. 649-671 / Harvested from Project Euclid
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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.
Publié le : 2010-04-15
Classification:  Rosen fractions,  natural extensions,  entropy,  11K50,  37A45,  37A35 
@article{1273236716,
     author = {KRAAIKAMP, Cornelis and SCHMIDT, Thomas A. and SMEETS, Ionica},
     title = {Natural extensions for $\alpha$-Rosen continued fractions},
     journal = {J. Math. Soc. Japan},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 649-671},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1273236716}
}

KRAAIKAMP, Cornelis; SCHMIDT, Thomas A.; SMEETS, Ionica. Natural extensions for α-Rosen continued fractions. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp.  649-671. http://gdmltest.u-ga.fr/item/1273236716/