Abstract
This article surveys the θ-intermediate dimensions that were introduced recently which provide a parameterised continuum of dimensions that run from Hausdorff dimension when θ = 0 to box-counting dimensions when θ = 1. We bring together diverse properties of intermediate dimensions which we illustrate by examples.
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Acknowledgements
The author thanks Amlan Banaji, Stuart Burrell, Jonathan Fraser, Tom Kempton and István Kolossváry for many discussions around this topic. The work was supported in part by an EPSRC Standard Grant EP/R015104/1.
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Falconer, K.J. (2021). Intermediate Dimensions: A Survey. In: Pollicott, M., Vaienti, S. (eds) Thermodynamic Formalism. Lecture Notes in Mathematics, vol 2290. Springer, Cham. https://doi.org/10.1007/978-3-030-74863-0_14
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DOI: https://doi.org/10.1007/978-3-030-74863-0_14
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