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Intermediate dimensions -- a survey

Published 9 Nov 2020 in math.MG and math.DS | (2011.04363v3)

Abstract: This article surveys the $\theta$-intermediate dimensions that were introduced recently which provide a parameterised continuum of dimensions that run from Hausdorff dimension when $\theta=0$ to box-counting dimensions when $\theta=1$. We bring together diverse properties of intermediate dimensions which we illustrate by examples.

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