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4 - Dimensions of Measures

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

A key aspect of dimension theory is how dimensions of sets relate to dimensions of measures. To this end, all the familiar notions of dimension for sets have natural counterparts in the context of measures. The Assouad dimension and its many variants are no different and in this chapter we explore the dimensions and spectra of measures.

Keywords

Assouad spectrumquasi-Assouad dimensionlower dimensionlower spectrum
Type
Chapter
Information
Assouad Dimension and Fractal Geometry , pp. 56 - 63
Publisher: Cambridge University Press
Print publication year: 2020

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  • Dimensions of Measures
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.005
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  • Dimensions of Measures
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.005
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.

  • Dimensions of Measures
  • Jonathan M. Fraser, University of St Andrews, Scotland
  • Book: Assouad Dimension and Fractal Geometry
  • Online publication: 13 October 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778459.005
Available formats
×