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arXiv · 2401.00614

On Nontrivial Winning and Losing Parameters of Schmidt Games

Vasiliy Neckrasov·Eric Zhan
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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 $(\alpha, \beta)$ for these sets.

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Vasiliy Neckrasov, Eric Zhan. 2024-01-01. On Nontrivial Winning and Losing Parameters of Schmidt Games. https://doi.org/10.1007/s00025-025-02547-7

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