On Nontrivial Winning and Losing Parameters of Schmidt Games

Vasiliy Neckrasov; Eric Zhan

doi:10.1007/s00025-025-02547-7

paper

On Nontrivial Winning and Losing Parameters of Schmidt Games

arXiv:2401.00614 · doi:10.1007/s00025-025-02547-7

Abstract

In this paper we study the classical Schmidt game on two families of sets: one related to frequencies of digits in base- $2$ expansions, and one connected to the set of the badly approximable numbers. Namely, we describe some nontrivial winning and losing parameters $(α, β)$ for these sets.

Some issues are corrected // 21 pages, 7 figures