On Nontrivial Winning and Losing Parameters of Schmidt Games
Number Theory
2025-11-17 v3
Abstract
In this paper we study the classical Schmidt game on two families of sets: one related to frequencies of digits in base- expansions, and one connected to the set of the badly approximable numbers. Namely, we describe some nontrivial winning and losing parameters for these sets.
Keywords
Cite
@article{arxiv.2401.00614,
title = {On Nontrivial Winning and Losing Parameters of Schmidt Games},
author = {Vasiliy Neckrasov and Eric Zhan},
journal= {arXiv preprint arXiv:2401.00614},
year = {2025}
}
Comments
Some issues are corrected // 21 pages, 7 figures