Dualities for the Domany-Kinzel model

Journal of Theoretical Probability

Volumn 17, Issue 1, 2004, Pages 131-144

  Katori, Makoto ^a   Konno, Norio ^b   Sudbury, Aidan ^c   Tanemura, Hideki ^d  

^a CHUO UNIVERSITY   (Japan)

^b YOKOHAMA NATIONAL UNIVERSITY   (Japan)

^c MONASH UNIVERSITY   (Australia)

^d CHIBA UNIVERSITY   (Japan)

Author keywords

Duality; The DK dual; The Domany Kinzel model

Indexed keywords

EID: 4043092815     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOTP.0000020478.24536.26     Document Type: Article

References (7)

1. Domany, E., and Kinzel, W. (1984). Equivalence of cellular automata to Ising models and directed percolation. Phys. Rev. Lett. 53, 311-314.
2. Durrett, R. (1988). Lecture Notes on Particle Systems and Percolation, Wadsworth, California.
3. Lind, D. A. (1984). Applications of ergodic theory and sofic systems to cellular automata. Physica D 10, 36-44.
4. Miyamoto, M. (1979). An equilibrium state for a one-dimensional life game. J. Math. Kyoto Univ. 19(3), 525-540.
5. Sudbury, A. W. (2000). Dual families of interacting particle systems on graphs. J. Theoret. Probab. 13(3), 695-716.
6. Sudbury, A. W., and Lloyd, P. (1995). Quantum operators in classical quantum theory. II. The concept of duality in interacting particle systems. Ann. Probab. 23(4), 1816-1830.
7. Sudbury, A. W., and Lloyd, P. (1997). Quantum operators in classical quantum theory. IV. Quasi-duality and thinnings of interacting particle systems. Ann. Probab. 25(1), 96-114.