Large deviation asymptotics for continued fraction expansions

被引：4
|
作者：
Kesseboehmer, Marc [1 ]
Slassi, Mehdi [1 ]
机构：
[1] Univ Bremen, Fachbereich Math & Informat 3, D-28359 Bremen, Germany
来源：
STOCHASTICS AND DYNAMICS | 2008年 / 8卷 / 01期
关键词：
continued fractions; large deviation;
D O I：
10.1142/S0219493708002226
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We study large deviation asymptotics for processes defined in terms of continued fraction digits. We use the continued fraction digit sum process to define a stopping time and derive a joint large deviation asymptotic for the upper and lower fluctuation processes. Also a large deviation asymptotic for single digits is given.
引用
收藏
页码：103 / 113
页数：11
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