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On certain subshifts and their associated monoids

Published online by Cambridge University Press:  16 September 2014

TOSHIHIRO HAMACHI  and
WOLFGANG KRIEGER
TOSHIHIRO HAMACHI
Affiliation:
Faculty of Mathematics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan email hamachi@math.kyushu-u.ac.jp
WOLFGANG KRIEGER
Affiliation:
Institute for Applied Mathematics, University of Heidelberg, Im Neuenheimer Feld 294, 69120 Heidelberg, Germany email krieger@math.uni-heidelberg.de
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Abstract

Within a subclass of monoids (with zero) a structural characterization is given of those that are associated to topologically transitive subshifts with Property (A).

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 1 , February 2016 , pp. 96 - 107
Copyright
© Cambridge University Press, 2014 

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References

Béal, M. P.. Codage Symbolique. Masson, Paris, 1993.Google Scholar
Blanchard, F. and Hansel, G.. Systèmes codés. Theoret. Comput. Sci. 44 (1986), 17–49.CrossRefGoogle Scholar
Béal, M. P. and Perrin, D.. Symbolic dynamics and finite automata. Handbook of Formal Languages. Vol. 2. Eds. Rozenberg, G. and Salomaa, A.. Springer, Berlin, 1998, pp. 463–506.Google Scholar
Book, R. V. and Otto, F.. String-Rewriting Systems. Springer, Berlin, 1993.CrossRefGoogle Scholar
Kemp, R.. On the average minimal prefix-lenth of the generalized semi-Dycklanguage. Theor. Inform. Appl. 30 (1996), 545–561.CrossRefGoogle Scholar
Kitchens, B. P.. Symbolic Dynamics. Springer, Berlin, 1998.CrossRefGoogle Scholar
Krieger, W.. On a syntactically defined invariant of symbolic dynamics. Ergod. Th. & Dynam. Sys. 20 (2000), 501–516.CrossRefGoogle Scholar
Lind, D. and Marcus, B.. An Introduction to Symbolic Dynamics and Coding. Cambridge University Press, Cambridge, 1995.CrossRefGoogle Scholar
Nivat, M. and Perrot, J.-F.. Une généralisation du monoide bicyclique. C. R. Acad. Sci. Paris, Sér. A 271 (1970), 824–827.Google Scholar
Pin, J.-E.. Syntactic semigroups. Handbook of Formal Languages. Vol. 1. Eds. Rozenberg, G. and Salomaa, A.. Springer, Berlin, 1997, pp. 597–746.Google Scholar
Weiss, B.. Subshifts of finite type and sofic systems. Monatsh. Math. 77 (1973), 462–474.CrossRefGoogle Scholar