Fishman, Lior, Mance, Bill, Simmons, David orcid.org/0000-0002-9136-6635 et al. (1 more author) (2015) Shrinking targets for non-autonomous dynamical systems corresponding to Cantor series expansions. Bulletin of the Australian Mathematical Society. pp. 205-213. ISSN 1755-1633
Abstract
We provide a closed formula of Bowen type for the Hausdorff dimension of a very general shrinking target scheme generated by the non-autonomous dynamical system on the interval $[0,1)$, viewed as $\mathbb{R}/\mathbb{Z}$, corresponding to a given method of Cantor series expansion. We also examine a wide class of examples utilizing our theorem. In particular, we provide a Diophantine approximation interpretation of our scheme.
Metadata
Authors/Creators: |
|
---|---|
Copyright, Publisher and Additional Information: | © 2015 Australian Mathematical Publishing Association Inc. This is an author produced version of a paper accepted for publication in Bulletin of the Australian Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | math.DS, math.NT |
Dates: |
|
Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Depositing User: | Pure (York) |
Date Deposited: | 16 Nov 2015 10:23 |
Last Modified: | 06 Dec 2023 11:09 |
Published Version: | https://doi.org/10.1017/S0004972715000441 |
Status: | Published |
Refereed: | Yes |
Identification Number: | https://doi.org/10.1017/S0004972715000441 |
Related URLs: |