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Non-self-similar attractors of hyperbolic iterated function systems

Part of the Lecture Notes in Mathematics book series (LNM,volume 1342)

Keywords

  • Disjoint Union
  • Spectral Radius
  • Hausdorff Dimension
  • Topological Entropy
  • Iterate Function System

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References

  1. Adler, R. and Marcus, B., Topological Entropy and Equivalence of Dynamical Systems, Mem. of AMS, 219, 1979.

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  2. Barnsley, M. and Demko, S. G., "Iterated Function Systems and the Global Construction of Fractals", Proceedings of the Royal Society London, 1985.

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  3. Barnsley, M., et. al., "Solutions of an Inverse Problem for Fractals and Other Sets", preprint, School of Mathematics, Georgia Institute of Technology.

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  4. Hurewitz, W. and Wallman, H. Dimension Theory, Princeton University Press, 1948.

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  5. Mandelbrot, B., The Fractal Geometry of Nature, W. H. Freeman and Co., San Francisco, 1983.

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  6. Willson, S., "Automata Can Generate Fractals," Discrete Applied Math., North Holland, 1984, pp. 91–99.

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© 1988 Springer-Verlag

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Ellis, D.B., Branton, M.G. (1988). Non-self-similar attractors of hyperbolic iterated function systems. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082829

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  • DOI: https://doi.org/10.1007/BFb0082829

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50174-9

  • Online ISBN: 978-3-540-45946-0

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