On Nontrivial Winning and Losing Parameters of Schmidt Games
| Autor: | Neckrasov, Vasiliy, Zhan, Eric |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this paper we completely describe the winning and losing conditions different from the only ``trivial'' conditions known before. In other words, we solve the open question of finding a complete nontrivial Schmidt diagram. In addition, we give the new bounds for two family of sets: one related to frequencies of digits in base-$2$ expansions, and one connected to the set of the badly approximable numbers. Comment: 21 page, 5 figures |
| Databáze: | arXiv |
| Externí odkaz: |
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