| 一般状态空间跳过程的强遍历性 |
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| 引用本文： | 张水利,张邵义.一般状态空间跳过程的强遍历性[J].数学学报,2017,60(6):931-946. |
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| 作者姓名： | 张水利 张邵义 |
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| 作者单位： | 1. 湖北大学数学与统计学院 武汉 430062;
2. 平顶山学院数学与统计学院 平顶山 467000 |
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| 基金项目： | 平顶山学院高层次人才科研启动基金资助（PXY-BSQD2016006） |
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| 摘 要： | 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.
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| 关 键 词： | 跳过程 强遍历 q对 细集 |
The Strongly Ergodicity of Jump Processes on General State Space |
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| Shui Li ZHANG,Shao Yi ZHANG.The Strongly Ergodicity of Jump Processes on General State Space[J].Acta Mathematica Sinica,2017,60(6):931-946. |
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| Authors: | Shui Li ZHANG Shao Yi ZHANG |
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| Institution: | 1. Academy of Mathematics and Statistics, Hubei University, Wuhan 430062, P. R. China;
2. Academy of Mathematics and Statistics, Pingdingshan University, Pingdingshan 467000, P. R. China |
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| Abstract: | 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. |
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| Keywords: | jump processes strongly ergodicity q-pair petite set |
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