| Title | Dimension product structure of hyperbolic sets |
| Authors | B Hasselblatt, Jörg Schmeling |
| Alternative Location | http://dx.doi.org/10.1090/S..., Restricted Access |
| Publication | ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Year | 2004 |
| Volume | 10 |
| Pages | 88 - 96 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | AMER MATHEMATICAL SOC |
| Abstract English | We conjecture that the fractal dimension of hyperbolic sets can be computed by adding those of their stable and unstable slices. This would facilitate substantial progress in the calculation or estimation of these dimensions, which are related in deep ways to dynamical properties. We prove the conjecture in a model case of Smale solenoids. |
| Keywords | Lipschitz continuity, holonomies, conjecture, Eckmann-Ruelle, Hausdorff dimension, hyperbolic set, fractal dimension, product structure, |
| ISBN/ISSN/Other | ISSN: 1079-6762 |
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Last update: 2013-04-11
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