2015/03/11 by Fishman, Lior, Reams, Vanessa, Simmons, David
#FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.1503.03428
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.