Dynamics for β-shifts and Diophantine approximation

被引：35
作者：
Adamczewski, Boris [1 ]
Bugeaud, Yann [2 ]
机构：
[1] Univ Lyon 1, CNRS, Inst Camille Jordan, F-69622 Villeurbanne, France
[2] Univ Strasbourg 1, UFR Math, F-67084 Strasbourg, France
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2007年 / 27卷
关键词：
D O I：
10.1017/S0143385707000223
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the beta-expansion of an algebraic number in an algebraic base. Using tools from Diophantine approximation, we prove several results that may suggest a strong difference between the asymptotic behaviour of eventually periodic expansions and that of non-eventually periodic expansions.
引用
收藏
页码：1695 / 1711
页数：17
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