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11 - Two Famous Problems in Geometric Measure Theory

from Part Two - Examples

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 discuss the Assouad dimension in the context of two famous conjectures in geometric measure theory: Falconer's distance set conjecture and the Kakeya conjecture.

Keywords

distance setdistance set conjectureKakeya setKakeya set conjecture
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Chapter
Information
Assouad Dimension and Fractal Geometry , pp. 181 - 189
Publisher: Cambridge University Press
Print publication year: 2020

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