A FUNCTIONAL CENTRAL-LIMIT-THEOREM IN DIOPHANTINE APPROXIMATION

被引：2
|
作者：
SAMUR, JD
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 111卷 / 04期
关键词：
DIOPHANTINE APPROXIMATION; FUNCTIONAL CENTRAL LIMIT THEOREM; INVARIANCE PRINCIPLE; CONTINUED FRACTION EXPANSION; MIXING RANDOM VARIABLES;
D O I：
10.2307/2048555
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A functional central limit theorem is proved for the number of solutions (p, q) of the inequality \q-omega - p\ < f(q)q-1, q less-than-or-equal-to n (respectively 0 < q-omega - p < f(q)q-1, q less-than-or-equal-to n) for some functions f having a positive limit.
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页码：901 / 911
页数：11
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