Cesàro mean distribution of group automata starting from measures with summable decay

Ergodic Theory and Dynamical Systems

Volumn 20, Issue 6, 2000, Pages 1657-1670

  Ferrari, Pablo A ^a   Maass, Alejandro ^b   Martínez, Servet ^b   Ney, Peter ^c  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b DEPARTAMENTO DE FÍSICA   (Chile)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034361235     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700000924     Document Type: Article

References (9)

1. K. B. Athreya and P. Ney. A new approach to the limit theory of recurrent Markov chains. Trans. Amer. Math. Soc. 248 (1978), 493-501.
2. H. Berbee. Chains with infinite connections: uniqueness and Markov representations. Probab. Theory Related Fields 76(2) (1987), 243-253.
3. X. Bressaud, R. Fernández and A. Galves. Decay of correlations for non Hölderian dynamics. A coupling approach. Electron. J. Probab. 4(3) (1999), 19 pp.
4. P. Ferrari and A. Galves. Acoplamento em processes estocásticos. 21 Colóquio Brasileiro de Matemática (21st Brazilian Mathematics Colloquium). IMPA, Rio de Janeiro, 1997. Available at http://www.ime.usp.br/~pablo/abstracts/libro.html.
5. P. Ferrari, A. Maass and S. Martínez. Cesàro mean distribution of group automata starting from Markov measures. Preprint, 1998.
6. D. Lind. Applications of ergodic theory and sofic systems to cellular automata. Physica D 10 (1984), 36-44.
7. E. Lucas. Sur les congruences des nombres eulériens et des coefficients différentiels des fonctions trigonométriques, suivant un module premier. Bull. Soc. Math. France 6 (1878), 49-54.
8. A. Maass and S. Martínez. On Cesàro limit distribution of a class of permutative cellular automata. J. Stat. Phys. 90 (1998), 435-452.
9. P. Ney and E. Nummelin. Regeneration for chains with infinite memory. Probab. Theory Related Fields 96(4) (1993), 503-520.