Intermediate dimensions -- a survey
Metric Geometry
2021-02-08 v3 Dynamical Systems
Abstract
This article surveys the -intermediate dimensions that were introduced recently which provide a parameterised continuum of dimensions that run from Hausdorff dimension when to box-counting dimensions when . We bring together diverse properties of intermediate dimensions which we illustrate by examples.
Cite
@article{arxiv.2011.04363,
title = {Intermediate dimensions -- a survey},
author = {Kenneth J. Falconer},
journal= {arXiv preprint arXiv:2011.04363},
year = {2021}
}
Comments
18 pages, 2 figures. Further examples and open problems have been added