The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game

Lior Fishman; Vanessa Reams; David Simmons

doi:10.1016/j.jnt.2016.03.021

The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game

Lior Fishman, Vanessa Reams, David Simmons

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	169-179
Number of pages	10
Journal	Journal of Number Theory
Volume	167
Early online date	4 May 2016
DOIs	https://doi.org/10.1016/j.jnt.2016.03.021
Publication status	Published - 1 Oct 2016

Bibliographical note

Keywords

math.NT

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10.1016/j.jnt.2016.03.021

150303428v1Submitted manuscript, 127 KB
1503.03428
© 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.
Accepted author manuscript, 143 KBLicence: CC BY-NC-ND

http://arxiv.org/abs/1503.03428

Programme Grant-New Frameworks in metric Number Theory
Velani, S. & Beresnevich, V.
EPSRC
1/06/12 → 30/11/18
Project: Research project (funded) › Research

Cite this

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AB - 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.

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The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game

Abstract

Bibliographical note

Keywords

Access to Document

Projects

Programme Grant-New Frameworks in metric Number Theory

Cite this