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A dynamical system with integer information dimension and fractal correlation exponent

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Publication:917119
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DOI10.1007/BF02097108zbMath0704.58036MaRDI QIDQ917119

Colleen D. Cutler

Publication date: 1990

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

ergodicityhyperbolicitybillards


Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical systems with hyperbolic behavior (37D99)


Related Items

Some results on the behavior and estimation of the fractal dimensions of distributions on attractors



Cites Work

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  • The infinite number of generalized dimensions of fractals and strange attractors
  • Measuring the strangeness of strange attractors
  • Finite correlation dimension for stochastic systems with power-law spectra
  • Absolutely continuous measures for certain maps of an interval
  • Ergodic properties of invariant measures for piecewise monotonic transformations
  • Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
  • Positive Liapunov exponents and absolute continuity for maps of the interval
  • Symmetric S-unimodal mappings and positive Liapunov exponents
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