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Dimension product structure of hyperbolic sets

På svenska

Author

Summary, in 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.

Department/s

Publishing year

2004

Language

English

Pages

88-96

Publication/Series

Electronic Research Announcements of the American Mathematical Society

Volume

10

Document type

Journal article

Publisher

American Mathematical Society (AMS)

Topic

  • Mathematics

Keywords

  • Lipschitz continuity
  • holonomies
  • conjecture
  • Eckmann-Ruelle
  • Hausdorff dimension
  • hyperbolic set
  • fractal dimension
  • product structure

Status

Published

Research group

  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 1079-6762