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Hausdorff Dimension of Hyperbolic Attractors in ℝ3

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Fractal Geometry and Stochastics III

Part of the book series: Progress in Probability ((PRPR,volume 57))

Abstract

One of the most exciting open problems in the field of dimension theory of dynamical systems is to find the Hausdorff dimension of hyperbolic attractors in space. After an introduction we will give an account of the known results.

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Author information

Authors and Affiliations

  1. Department of Stochastics Institute of Mathematics, Technical University of Budapest, P.O.Box 91, Budapest, 1521, Hungary

    Károly Simon

Authors
  1. Károly Simon
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Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, 17487, Germany

    Christoph Bandt

  2. Department of Physics, University of Rome La Sapienza, Via G. Boni 20, Roma, 00162, Italy

    Umberto Mosco

  3. Mathematisches Institut, Friedrich-Schiller-Universität, Jena, 07740, Germany

    Martina Zähle

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© 2004 Springer Basel AG

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Simon, K. (2004). Hausdorff Dimension of Hyperbolic Attractors in ℝ3 . In: Bandt, C., Mosco, U., Zähle, M. (eds) Fractal Geometry and Stochastics III. Progress in Probability, vol 57. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7891-3_5

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  • DOI: https://doi.org/10.1007/978-3-0348-7891-3_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9612-2

  • Online ISBN: 978-3-0348-7891-3

  • eBook Packages: Springer Book Archive

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