Interactions between dynamics, arithmetics and combinatorics:: the good, the bad, and the ugly

被引：0
作者：
Berthé, V [1 ]
Ferenczi, S [1 ]
Zamboni, LQ [1 ]
机构：
[1] Univ Montpellier 2, CNRS, UMR 5506, LIRMM, F-34392 Montpellier, France
来源：
ALGEBRAIC AND TOPOLOGICAL DYNAMICS | 2005年 / 385卷
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to Survey possible generalizations of the well-known interaction between Sturmian sequences and rotations of T-1, using the Euclid algorithm of continued fraction approximation. We investigate mainly similar relations between Arnoux-Rauzy sequences and rotations of T-2, between codings of Z(2)-actions on T-1 and multidimensional Sturmian sequences, between exchanges of intervals and some sequences of linear complexity, and give an account of several tentative generalizations of continued fractions, using the notions of substitution and induction.
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页码：333 / 364
页数：32
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