
一般状态空间跳过程的强遍历性
The Strongly Ergodicity of Jump Processes on General State Space
研究了一般状态空间跳过程的强遍历性,利用最小非负解理论及马氏性,得到了强遍历性的几个等价条件,把连续时间可数状态马氏链的相关结果推广到一般状态空间跳过程的情形.
We study the strong ergodicity for jump processes in general state spaces, and obtain some equivalence conditions of strongly ergodicity by minimal nonnegative solutions and strongly Markov property. which extended the results of countable state to the jump processes on genersl state spaces.
跳过程 / 强遍历 / q对 / 细集 {{custom_keyword}} /
jump processes / strongly ergodicity / q-pair / petite set {{custom_keyword}} /
[1] Chen M. F., Form Markov Chains to Non-equilibrium Particle Systems (Second Edition), World Scientific, Singapore, 2004.
[2] Down D., Meyn S. P., Tweedie R. L., Exponential and uniform ergodicity of Markov processes, Ann. Prob., 1995, 23(4):1671-1691.
[3] Liu Y. Y., Hou Z. T., Exponential and strong ergodicity for Markov processes with an application to queues, Chin. Ann. Math. Ser. B, 2008, 29(2):199-206.
[4] Meyn S. P., Tweedie R. L., Markov Chains and Stochastic Stability, Springer-Verlag, London, 1992.
[5] Meyn S. P., Tweedie R. L., Generalize resolvents and harris recurrence of Markov processes, Contemp. Math., 1992, 149:227-250.
[6] Meyn S. P., Tweedie R. L., Stability of Markov processe Ⅱ:continuous time proccesses and sampled chanis, Adv. Appl. Prob., 1993, 25:487-517.
[7] Meyn S. P., Tweedie R. L., Stability of Markov processes Ⅲ:Foster-Lyapunov criteria for continuous time processes, Adv. Appl. Prob., 1993, 25:518-548.
[8] Wang Z. K., The General Theory of Stochastic Process (Three Edition) (in Chinese), Beijing Normal University Press, Beijing, 2010.
[9] William J. A., Continuous-Time Markov Chains:An Applications-Oriented Approach, Springer-Verlag, New York, 1991.
[10] Zhang S. Y., Regularity and existence of invariant measures for jump processes, Acta Mathematica Sinica, Chinese Series, 2005, 48(4):785-788.
[11] Zhang S. Y., Existence of the optimal measurable coupling and ergodicity for Markov processes, Science in China, Ser. A, 1999, 42(1):58-67.
平顶山学院高层次人才科研启动基金资助(PXY-BSQD2016006)
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