2-DIMENSIONAL BADLY APPROXIMABLE VECTORS AND SCHMIDT'S GAME | |
An, Jinpeng | |
2016 | |
关键词 | DIOPHANTINE APPROXIMATION HOMOGENEOUS SPACES CONJECTURE FLOWS THEOREM NUMBERS SET |
英文摘要 | We prove that for any pair (s, t) of nonnegative numbers with s + t = 1, the set of 2-dimensional (s, t)-badly approximable vectors is winning for Schmidt's game. As a consequence, we give a direct proof of Schmidt's conjecture using his game.; SCI(E); ARTICLE; anjinpeng@gmail.com; 2; 267-284; 165 |
语种 | 英语 |
出处 | SCI |
出版者 | DUKE MATHEMATICAL JOURNAL |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/438733] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | An, Jinpeng. 2-DIMENSIONAL BADLY APPROXIMABLE VECTORS AND SCHMIDT'S GAME. 2016-01-01. |
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