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: | 17 Sep 2025 00:18 | 
| 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 | 

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