Spectral analysis for the Gauss problem on continued fractions

被引：4
|
作者：
Iosifescu, Marius [1 ]
机构：
[1] Acad Romana, Gheorghe Mihoc Caius Iacob Inst Math Stat & Appl, Bucharest 050711, Romania
来源：
INDAGATIONES MATHEMATICAE-NEW SERIES | 2014年 / 25卷 / 04期
关键词：
Continued fraction; The Gauss problem; Perron-Frobenius operator;
D O I：
10.1016/j.indag.2014.02.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a new derivation of the formula appearing in Babenko (1978) and Mayer and Roepstorff (1987) that gives the probability distribution of tau(-n) in terms of the eigenvalues of a symmetric operator. Here tau is the well-known Gauss-map. (C) 2014 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：825 / 831
页数：7
相关论文
共 50 条
12345