AUTOMATIC MAPS ON A SEMIRING WITH DIGITS

Authors
ALLOUCHE JP CATELAND E PEITGEN HO SKORDEV G SHALLIT J
Citation
Jp. Allouche et al., AUTOMATIC MAPS ON A SEMIRING WITH DIGITS, Fractals, 3(4), 1995, pp. 663-677
Citations number
44
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Fractals → ACNP
ISSN journal
0218348X
Volume
3
Issue
4
Year of publication
1995
Pages
663 - 677
Database
ISI
SICI code
0218-348X(1995)3:4<663:AMOASW>2.0.ZU;2-7
Abstract
A general framework for substitutions and automaticity of maps from a ring (or even from a semiring) with radix representation to a finite s et is given. Our definition contains the classical notion of automatic ity as well as the case of multidimensional automatic sequences and th e case of sequences indexed by rational integers, by Gaussian integers or by quadratic irrationals.