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On Nontrivial Winning and Losing Parameters of Schmidt Games

2024/01/01 by Neckrasov, Vasiliy, Zhan, Eric
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2401.00614

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.

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