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6 - Iterated Function Systems

from Part Two - Examples

Published online by Cambridge University Press:  13 October 2020

Jonathan M. Fraser
Affiliation:
University of St Andrews, Scotland
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Summary

One of the most important and widely used methods for constructing fractal sets is via iterated function systems. These were introduced in a celebrated article of Hutchinson from 1980. We consider the special case of self-similar sets in Chapter 7, self-affine sets in Chapter 8, and self-conformal sets in Section 9.1, but in this chapter we introduce the theory of iterated function systems and their attractors in full generality.

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Publisher: Cambridge University Press
Print publication year: 2020

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  • Iterated Function Systems
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.007
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  • Iterated Function Systems
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.007
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Iterated Function Systems
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.007
Available formats
×