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3 - Some Variations on 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 several variants of the Assouad dimension. Most importantly, the lower dimension and the Assouad spectrum.The latter is a function which interpolates between the quasi-Assouad dimension and the upper box dimension.

Keywords

Assouad spectrumquasi-Assouad dimensionlower dimensionlower spectrumHolder function
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Assouad Dimension and Fractal Geometry , pp. 22 - 55
Publisher: Cambridge University Press
Print publication year: 2020

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