Limit measures for affine cellular automata II

Ergodic Theory and Dynamical Systems

Volumn 24, Issue 6, 2004, Pages 1961-1980

  Pivato, Marcus ^a   Yassawi, Reem ^a  

^a TRENT UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10844274563     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385704000288     Document Type: Article

References (10)

1. A. Maass and S. Martínez. Time averages for some classes of expansive one-dimensional cellular automata. Cellular Automata and Complex Systems. Eds. E. Goles and S. Martínez. Kluwer, Dordrecht, 1999, pp. 37-54.
2. P. Brémaud. Markov Chains: Gibbs Fields, Monte Carlo Simulation, and Queues. Springer, Berlin, 1999.
3. H. Furstenberg. Ergodic Theory and Combinatorial Number Theory. Princeton University Press, Princeton, NJ, 1981.
4. G. Hedlund. Endomorphisms and automorphisms of the shift dynamical systems. Math. Sys. Theory 3 (1969), 320-375.
5. D. Lind. Applications of ergodic theory and sofic systems to cellular automata. Physica D 10 (1984), 36-44.
6. M. Pivato and R. Yassawi. Limit measures for affine cellular automata. Ergod. Th. & Dynam. Sys. 22(4) (2002), 1269-1287.
7. S. Martínez, P. Ferrari, A. Maass and P. Ney. Cesàro mean distribution of group automata starting from measures with summable decay. Ergod. Th. & Dynam. Sys. 20(6) (2000), 1657-1670.
8. M. Pivato. Multiplicative cellular automata on nilpotent groups: Structure, entropy, and asymptotics. J. Stat. Phys. 110(1/2) (2003), 247-267.
9. R. Kindermann and J. L. Snell. Markov Random Fields and their Applications. American Mathematical Society, Providence, RI, 1980.
10. L. Schwanz. Lectures on Disintegration of Measures. Tata Institute of Fundamental Research, Bombay, 1975.