Intermediate dimensions - a survey
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.
Citation
Falconer , K J 2021 , Intermediate dimensions - a survey . in M Pollicott & S Vaienti (eds) , Thermodynamic Formalism : CIRM Jean-Morley Chair, Fall 2019 . Lecture Notes in Mathematics , vol. 2290 , Springer , Cham , pp. 469-493 . https://doi.org/10.1007/978-3-030-74863-0_14
Publication
Thermodynamic Formalism
ISSN
0075-8434Type
Conference item
Description
Funding: The work was supported in part by an EPSRC Standard Grant EP/R015104/1.Collections
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