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

页码：103 / 113

页数：11

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