The convergence of the biased annihilating branching process and the double-flipping process in ℤd

Stochastic Processes and their Applications

Volumn 68, Issue 2, 1997, Pages 255-264

  Sudbury, Aidan ^a  

^a MONASH UNIVERSITY   (Australia)

Author keywords

Interacting particle systems; Relative entropy

Indexed keywords

EID: 0031575008     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-4149(97)00027-6     Document Type: Article

References (7)

1. Bramson, M., Ding, W.D., Durrett, R., 1991. Annihilating branching processes. Stochastic Processes Appl. 27, 1-18.
2. Holley, R., 1972. Free energy in a Markovian model of a lattice spin system. Comm. Math. Phys. 23, 71-82.
3. Mountford, T., 1993. A coupling of finite particle systems. J. Appl. Prob. 30(1), 258-262.
4. Neuhauser, C., Sudbury, A.W., 1993. The biased annihilating branching process. Adv. Appl. Probab 25, 24-38.
5. Sudbury, A.W., 1990. The branching annihilating process: an interacting particle system. Ann. Probab. 18, 581-601.
6. Sudbury, A.W., Lloyd, P., 1995. Quantum operators in classical probability theory: II. The concept of duality in interacting particle systems. Ann. Probab. 23(4), 1816-1830.
7. Sudbury, A.W., Lloyd, P., 1997. Quantum operators in classical probability theory: IV. Quasi-duality and thinnings of interacting particle systems. Ann Probab. to appear.