| Title | Dyadic diophantine approximation and Katok's horseshoe approximation |
| Authors | Tomas Persson, Jörg Schmeling |
| Year | 2006 |
| Volume | 2006:3 |
| Pages | 27 |
| Document type | Preprint |
| Status | Unpublished |
| Quality controlled | Yes |
| Language | eng |
| Abstract English | 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. |
| Keywords | beta-shifts, horseshoes, Diophantine approximation, non-uniformly hyperbolic systems, SYMBOLIC DYNAMICS, NONCOMPACT SETS, |
| ISBN/ISSN/Other | ISSN: 1403-9338 |
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