Published paper

On Nontrivial Winning and Losing Parameters of Schmidt Games

Vasiliy Neckrasov, Eric Zhan

MSC 2020

91A4491A0511A6311J04

Published version ↗Published PDF ↗Open DOI ↗arXiv record →

Publication metadata

Journal citation: Results in Mathematics 80(8), 236 (2025)
Publication date: 2025-11-14
DOI: 10.1007/s00025-025-02547-7 ↗
arXiv counterpart: arXiv:2401.00614v3
MSC 2020: 91A44, 91A05, 11A63, 11J04
As specified in the publication (MSC 2020): 91A44, 91A05, 11A63, 11J04 ↗Published article metadata
Publication license: CC BY 4.0 ↗

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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