Intermediate dimensions - a survey

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

DOI

https://doi.org/10.1007/978-3-030-74863-0_14

ISSN

0075-8434

Type

Conference item

Rights

Copyright © 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG 2021. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1007/978-3-030-74863-0_14

Description

Funding: The work was supported in part by an EPSRC Standard Grant EP/R015104/1.