Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593166 | Journal of Number Theory | 2016 | 11 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lior Fishman, Vanessa Reams, David Simmons,