Asymptotic orbits of primitive substitutions

Theoretical Computer Science

Volumn 301, Issue 1-3, 2003, Pages 439-450

  Barge, Marcy ^a   Diamond, Beverly ^b   Holton, Charles ^c  

^a MONTANA STATE UNIVERSITY   (United States)

^b Department of Teacher Education and Department of Sociology and Anthropology   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; MAPPING; THEOREM PROVING;

ASYMPTOTIC ORBITS;

COMPUTER SCIENCE;

EID: 0038033120     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(02)00889-7     Document Type: Article

References (7)

1. Barge M., Diamond B. A complete invariant for the topology of one-dimensional substitution tiling spaces. Ergodic Theory Dynamical Systems. 21:2001;1333-1358.
2. V. Berthé, S. Ferenczi, C. Mauduit, A. Siegel (Eds.), Introduction to Finite Automata and Substitution Dynamical Systems, Lectures Notes in Mathematics, Vol. 1794, Springer, Berlin, 2002; http://iml.univ-mrs.fr/editions/preprint00/book/prebookdac.html.
3. Durand F. A characterization of substitutive sequences using return words. Discrete Math. 179:1998;89-101.
4. W. Gottschalk, G.A. Hedlund, Topological Dynamics, American Mathematical Society Colloquium Publications, vol. 36, American Mathematical Society, Providence, RI, 1955.
5. Lind D., Marcus B. An Introduction to Symbolic Dynamics and Coding. 1995;Cambridge University Press, Cambridge.
6. Mossé B. Puissances de mots et reconnaissabilité des points fixes d'une substitution. Theoret. Comput. Sci. 99:1992;327-334.
7. Queffélec M. Substitution Dynamical Systems - Spectral Analysis. 1987;Springer, Berlin.