The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game
classification
🧮 math.NT
keywords
gamegamesbanach-mazur-mcmullenbanach-mazur-schmidtdiophantineanalyzingapplicationapproximation
read the original 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.
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