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2 - The Assouad Dimension

from Part One - Theory

Published online by Cambridge University Press:  13 October 2020

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

In this chapter we introduce the Assouad dimension. We discuss its origins and establish many of its basic properties such as stability under Lipschitz mappings and monotonicity.

Keywords

Assouad dimensionFurstenbergmicroset
Type
Chapter
Information
Assouad Dimension and Fractal Geometry , pp. 10 - 21
Publisher: Cambridge University Press
Print publication year: 2020

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  • The Assouad Dimension
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.003
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  • The Assouad Dimension
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.003
Available formats
×

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.

  • The Assouad Dimension
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.003
Available formats
×