On Nontrivial Winning and Losing Parameters of Schmidt Games
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915616876658688 |
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| author | Neckrasov, Vasiliy Zhan, Eric |
| author_facet | Neckrasov, Vasiliy Zhan, Eric |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00614 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Nontrivial Winning and Losing Parameters of Schmidt Games Neckrasov, Vasiliy Zhan, Eric Number Theory 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. |
| title | On Nontrivial Winning and Losing Parameters of Schmidt Games |
| topic | Number Theory |
| url | https://arxiv.org/abs/2401.00614 |