%0 Journal Article
%T The Banach-Mazur-Schmidt game and the Banach-Mazur-McMullen game
%A Lior Fishman
%A Vanessa Reams
%A David Simmons
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1503.03428v2