Automatic maps on a semiring with digits

被引：4

作者：

Allouche, JP

Cateland, E

Peitgen, HO

Skordev, G

Shallit, J

机构：

[1] UNIV BORDEAUX 1,F-33405 TALENCE,FRANCE

[2] UNIV BREMEN,CTR COMPLEX SYST & VISUALIZAT,D-28334 BREMEN,GERMANY

[3] UNIV WATERLOO,DEPT COMP SCI,WATERLOO,ON N2G 1Y9,CANADA

来源：

FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE | 1995年 / 3卷 / 04期

关键词：

D O I：

10.1142/S0218348X9500059X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A general framework for substitutions and automaticity of maps from a ring (or even from a semiring) with radix representation to a finite set is given. Our definition contains the classical notion of automaticity as well as the case of multidimensional automatic sequences and the case of sequences indexed by rational integers, by Gaussian integers or by quadratic irrationals.

引用

页码：663 / 677

页数：15

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[2]

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[3]

ALLOUCHE JP, IN PRESS DISCRETE AP

[4]

ALLOUCHE JP, 1990, P PHYS, V47