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Rational approximation of fractals

Approximation And Interpolation Theory

Part of the Lecture Notes in Mathematics book series (LNM,volume 1105)

Abstract

Stationary distributions for certain Markov chains of inverse branches of rational maps are put forward as the basis of an approximation theory for fractals. Results on existence and on computability of moments are proved.

Keywords

  • Markov Chain
  • Orthogonal Polynomial
  • Moment Problem
  • Borel Subset
  • Balance Measure

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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© 1984 Springer-Verlag

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Barnsley, M.F., Demko, S.G. (1984). Rational approximation of fractals. In: Graves-Morris, P.R., Saff, E.B., Varga, R.S. (eds) Rational Approximation and Interpolation. Lecture Notes in Mathematics, vol 1105. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072400

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  • DOI: https://doi.org/10.1007/BFb0072400

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13899-0

  • Online ISBN: 978-3-540-39113-5

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