Existence of the optimal measurable coupling and ergodicity for Markov processes

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 42, Issue 1, 1999, Pages 58-67

  Zhang, Shaoyi ^a,b  

^a BEIJING NORMAL UNIVERSITY   (China)

^b HUBEI NORMAL UNIVERSITY   (China)

Author keywords

Markov process; Optimal measurable coupling; Probability kernel

Indexed keywords

EID: 0013423259     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02872050     Document Type: Article

References (5)

1. Dobrushin, R. L., Shlosman, S. B., Constructive criterion for the uniqueness of Gibbs field, in Statistical Mechanics Dynamical Systems (ed. Frite, J.), Boston: Birkhauser, 1985, 347-370.
2. Zhang, S. Y., Xu Kau, On the existence of the optimal measurable coupling of transition probability, Acta Math. Sin. (in Chinese), 1997, 40(1): 5.
3. Chen, M. F., Optimal Markovian couplings and applications, Acta Math. Sin., New. Ser., 1994, 10(3): 260.
4. Chen, M. F., From Markov Chains to Non-equilibrium Particle Systems, Singapore: World Scientific, 1992.
5. Zhang, S. Y., The existence of the ρ-optimal coupling operator for jump process, Acta Math. Sin. (in Chinese), 1998, 41 (2): 397.