Article thumbnail

Dyadic Diophantine Approximation and Katok's Horseshoe Approximation

By Tomas Persson and Jörg Schmeling


We consider approximations of real numbers by rational numbers with denominator 2^n. We will exploit results on hitting times for the underlying dynamical system on the full shift. In the second part we transfer the results to the beta-shifts. This will give us an estimate on the approximation speed of arbitrary beta-shifts by finite type beta-shifts. This is a particular case of Katok's horseshoe approximation of non-uniformly hyperbolic systems

Topics: Mathematics, horseshoes, beta-shifts, Diophantine approximation, non-uniformly hyperbolic systems, SYMBOLIC DYNAMICS, NONCOMPACT SETS
Publisher: 'Institute of Mathematics, Polish Academy of Sciences'
Year: 2008
DOI identifier: 10.4064/aa132-3-2
OAI identifier:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • (external link)
  • (external link)
  • Suggested articles

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.