Communications in Mathematical Physics

, Volume 176, Issue 2, pp 307–320 | Cite as

Dimensions of invariant sets of expanding maps



We consider a compact invariant set Λ of an expanding map of a manifoldM and give upper and lowerbounds for the Hausdorff Dimension dim H (Λ), and box dimensionsdim B (Λ) and dim B (Λ). These bounds are given in terms of the topological entropy, topological pressure, and uniform Lyapunov exponents of the map.

A measure-theoretic version of these results is also included.


Entropy Neural Network Statistical Physic Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Huyi Hu
    • 1
  1. 1.Department of MathematicsUniversity of MarylandCollege ParkUSA

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