An estimate on the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes
Abstract
We show that the Hausdorff dimension of stable sets of non-uniformly hyperbolic horseshoes is strictly smaller than two.
- Publication:
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arXiv e-prints
- Pub Date:
- January 2017
- DOI:
- 10.48550/arXiv.1701.01288
- arXiv:
- arXiv:1701.01288
- Bibcode:
- 2017arXiv170101288M
- Keywords:
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- Mathematics - Dynamical Systems
- E-Print:
- 22 pages, 5 figures. Final version based on the referee's report. To appear in Discrete Contin. Dyn. Syst