Forbidden Words in Symbolic Dynamics

Advances in Applied Mathematics

Volumn 25, Issue 2, 2000, Pages 163-193

  Beal M P ^a   Mignosi, F ^b   Restivo, A ^b   Sciortino, M ^b  

^a Université de Marne la Vallée   (France)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

Symbolic dynamics; combinatoric on words; automata and formal languages

Indexed keywords

EID: 0001453352     PISSN: 01968858     EISSN: None     Source Type: Journal    
DOI: 10.1006/aama.2000.0682     Document Type: Article

References (31)

1. Adler R., Coppersmith D., Hassner M. Algorithms for sliding-Block codes. IEEE Trans. Inform. Theory. IT-29:1983;5-22.
2. Badii R., Politi A. Complexity, Hierarchical Structures and Scaling in Physics. 1997;Cambridge University Press.
3. Béal M.-P. Codage Symbolique. 1993;Masson, Paris.
4. Béal M.-P. Puissance extérieure d'un automate déterministe, application au calcul de la fonction zêta d'un système sofique. RAIRO Inf. Théor. Appl. 29:1995;85-103.
5. Béal M.-P., Mignosi F., Restivo A. Minimal forbidden words and symbolic dynamics. Puech C., Reischuk R. STACS'96. Lecture Notes in Computer Science. 1046:1996;555-566 Springer-Verlag, Berlin.
6. Béal M.-P., Perrin D. Symbolic dynamics and finite automata. Rozenberg G., Salomaa A. Handbook of Formal Languages. 1997;Springer, New York.
7. Berstel J. Fibonacci words - a survey. Rozenberg G., Salomaa A. The Book of L. 1986;Springer-VerlagBerlin, New York.
8. J. Berstel, and, D. Perrin, Finite and infinite words, in, Algebraic Combinatorics on Words, (, M. Lothaire, Ed.), Chap. 1, Cambridge University Press, to appear. Available at, http://www-igm.univ-mlv.fr/~berstel .
9. Berstel J., Reutenauer C. Rational Series and their Languages. 1998;Springer, New York.
10. J. Berstel, and, P. Séebold, Sturmian words, in, Algebraic Combinatorics on Words, (, M. Lothaire, Ed.), Chap. 2, Cambridge University Press, to appear. Available at, http://www-igm.univ-mlv.fr/~berstel .
11. Cassaigne J. Complexité et facteurs spéciaux. Bull. Belg. Math. Soc. 4:1997;67-88.
12. Crochemore M., Mignosi F., Restivo A. Automata and forbidden words. Inf. Process. Lett. 67:1998;111-117.
13. Crochemore M., Mignosi F., Restivo A., Salemi S. Data compression using antidictionaries. Proc. ICALP'99. Lecture Notes in Computer Science. 1644:1999;Springer-Verlag, Berlin. p. 261-270.
14. de Luca A., Mignosi F. Some combinatorial properties of Sturmian words. Theoret. Comput. Sci. 136:1994;361-385.
15. de Luca A., Mione L. On bispecial factors of the Thue-Morse word. Inf. Process. Lett. 49:1994;179-183.
16. Dulucq S., Gouyou-Beauchamps D. Sur les facteurs des suites de Sturm. Theoret. Comput. Sci. 71:1990;381-400.
17. Eilenberg S. Automata, Languages and Machines. 1974;Academic Press, New York.
18. Ferenczi S. Rank and symbolic complexity. Ergod. Theory & Dynam. Syst. 16:1996;663-682.
19. Fried D. Finitely presented dynamical systems. Ergod. Theory & Dynam. Syst. 7:1987;489-507.
20. Graham R. L., Knuth D. E., Patashnik O. Concrete Mathematics. 1989;Addison-Wesley, Reading.
21. Hardy G. H., Wright E. M. An Introduction to the Theory of Numbers. 1938;Oxford University Press.
22. Hedlund G. A. Endomorphisms and automorphisms of the shift dynamical system. Math. Systems Theory. 3:1969;320-375.
23. Kim K. H., Roush F. W. Williams Conjecture is false for reducible subshifts. J. Amer. Math. Soc. 5:1992;213-215.
24. Lind D., Marcus B. An Introduction to Symbolic Dynamics and Coding. 1995;Cambridge University Press.
25. Lothaire M. Combinatorics on Words. 1983;Addison-Wesley, Reading.
26. Morse M. Recurrent geodesics on a surface of negative curvature. Trans. Amer. Math. Soc. 22:1921;84-110.
27. Perrin D. Symbolic dynamics and finite automata. Proc. MFCS'95. Lecture Notes in Computer Science. 969:1995;Springer-Verlag, Berlin.
28. Rauzy G. Mots infinis en arithmétique. Nivat M., Perrin D. Automata on Infinite Words. Lecture Notes in Computer Science. 192:1984;Springer-Verlag, Berlin.
29. Reutenauer C. N -rationality of zeta functions. Adv. in Appl. Math. 18:1997;1-17.
30. Salomaa A., Soittola M. Automata-Theoretic Aspects of Formal Power Series. 1978;Springer-Verlag, Verlag, Berlin.
31. Williams R. Classification of shifts of finite type. Ann. Math. 98:1973;120-153.