Generalized radix representations and dynamical systems.: I

被引：58
|
作者：
Akiyama, S [1 ]
Borbély, T
Brunotte, H
Pethö, A
Thuswaldner, JM
机构：
[1] Niigata Univ, Fac Sci, Dept Math, Ikarashi 2-8050, Niigata 9502181, Japan
[2] Natl Instruments Europe KFT, H-4031 Debrecen, Hungary
[3] Univ Debrecen, Dept Comp Sci, H-4010 Debrecen, Hungary
[4] Univ Min & Met Leoben, Dept Math & Stat, A-8700 Leoben, Austria
来源：
ACTA MATHEMATICA HUNGARICA | 2005年 / 108卷 / 03期
基金：
奥地利科学基金会; 匈牙利科学研究基金会;
关键词：
beta expansion; canonical number system; periodic point; contracting polynomial; Pisot number;
D O I：
10.1007/s10474-005-0221-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We are concerned with families of dynamical systems which are related to generalized radix representations. The properties of these dynamical systems lead to new results on the characterization of bases of Pisot number Systems as well as canonical number systems.
引用
收藏
页码：207 / 238
页数：32
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