Mathematics of Complexity and Dynamical Systems

2011 Edition
| Editors: Robert A. Meyers (Editor-in-Chief)

Ergodic Theory: Fractal Geometry

  • Jörg Schmeling
Reference work entry

Article Outline


Definition of the Subject



Brief Tour Through Some Examples

Dimension Theory of Low-Dimensional Dynamical Systems – Young's Dimension Formula

Dimension Theory of Higher-Dimensional Dynamical Systems

Hyperbolic Measures

General Theory


Multifractal Analysis

Future Directions



Entropy Manifold 
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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Jörg Schmeling
    • 1
  1. 1.Center for Mathematical SciencesLund UniversityLundSweden