Abstract Coupling method is used to obtain the explicit upper and lower bounds for convergence rates in strong ergodicity for Markov processes. For one-dimensional diffusion processes and birth death processes, these bounds are sharp in the sense that the upper one and the lower one are only different by a constant.
Issue Date: 05 March 2006
Cite this article:
MAO Yong-hua. Some New Results on Strong Ergodicity[J]. Front. Math. China,
2006, 1(1): 105-109.
