Article contents
On the Lagrange and Markov dynamical spectra
Published online by Cambridge University Press: 11 April 2016
Abstract
We consider the Lagrange and the Markov dynamical spectra associated to horseshoes on a surface with Hausdorff dimension greater than one. We show that for a ‘large’ set of real functions on the surface and for ‘typical’ horseshoes with Hausdorff dimension greater than one, both the Lagrange and the Markov dynamical spectra have persistently non-empty interior.
- Type
- Research Article
- Information
- Copyright
- © Cambridge University Press, 2016
References
- 5
- Cited by