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
Authors/Creators: |
|
||||
---|---|---|---|---|---|
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: |
|
||||
Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
Funding Information: |
|
||||
Depositing User: | Pure (York) | ||||
Date Deposited: | 01 Dec 2015 14:03 | ||||
Last Modified: | 06 Dec 2023 11:44 | ||||
Published Version: | https://doi.org/10.1016/j.jnt.2016.03.021 | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1016/j.jnt.2016.03.021 | ||||
Related URLs: |