On Nontrivial Winning and Losing Parameters of Schmidt Games
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25_2025_Article_2547.pdf
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Author(s)
Neckrasov, Vasiliy
Zhan, Eric
Date Issued
November 14, 2025
Journal
Results in Mathematics
Publisher
Springer International Publishing
Citation
Neckrasov, V., Zhan, E. On Nontrivial Winning and Losing Parameters of Schmidt Games. Results Math 80, 236 (2025).
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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DOI of Published Version
https://doi.org/10.1007/s00025-025-02547-7
