| Title | Dyadic Diophantine Approximation and Katok's Horseshoe Approximation |
| Authors | Tomas Persson, Jörg Schmeling |
| Publication | Acta Arithmetica |
| Year | 2008 |
| Volume | 132 |
| Issue | 3 |
| Pages | 205 - 230 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Polish Acad. Sci. Inst. Math. ul. |
| 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. |
| ISBN/ISSN/Other | ISSN: 0065-1036 |
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