Fishman, Lior, Reams, Vanessa and Simmons, David orcid.org/0000-0002-9136-6635 (2016) The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game. Journal of Number Theory. pp. 169-179. ISSN 0022-314X
Abstract
We introduce two new mathematical games, the Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game, merging well-known games. We investigate the properties of the games, as well as providing an application to Diophantine approximation theory, analyzing the geometric structure of certain Diophantine sets.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Elsevier Inc. All rights reserved. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. |
Keywords: | math.NT |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) |
Funding Information: | Funder Grant number EPSRC EP/J018260/1 |
Depositing User: | Pure (York) |
Date Deposited: | 01 Dec 2015 14:03 |
Last Modified: | 15 Mar 2025 00:06 |
Published Version: | https://doi.org/10.1016/j.jnt.2016.03.021 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.1016/j.jnt.2016.03.021 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90993 |