| 跳过程μ正则性和不变测度存在性 |
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| 引用本文： | 张绍义. 跳过程μ正则性和不变测度存在性[J]. 数学学报, 2005, 48(4): 785-788. DOI: cnki:ISSN:0583-1431.0.2005-04-018 |
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| 作者姓名： | 张绍义 |
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| 作者单位： | 湖北大学数学系 武汉 |
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| 基金项目： | 湖北省自然科学基金资助项目 |
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| 摘 要： | 本文给出了一般状态跳过程μ正则的充分条件,作为其推论得到跳跃链常返的跳过程是μ正则的,证明了跳跃链常返的跳过程,其q对的不变测度是跳过程的不变测度.还证明了跳跃链常返的跳过程存在唯一的不变测度.
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| 关 键 词： | 常返性 μ正则性 不变测度 |
Regularity and Existence of Invariant Measures for Jump Processes |
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| Shao Yi ZHANG. Regularity and Existence of Invariant Measures for Jump Processes[J]. Acta Mathematica Sinica, 2005, 48(4): 785-788. DOI: cnki:ISSN:0583-1431.0.2005-04-018 |
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| Authors: | Shao Yi ZHANG |
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| Affiliation: | Shao Yi ZHANG Department of Mathematics, Hubei University, Wuhan 430062, P. R. China |
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| Abstract: | In this paper, a sufficient condition for the μ-regular jump processes on general state space is given. As its corollary, we obtain that the jump process is μ-regular if its embeding chain is recurrent. We prove that the invariant measure for the q-pair is the invariant measare for its jump process with recurrent embeding chain, and that the jump process with recurrent embeding chain has a unique invariant measure. |
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| Keywords: | Recurrence μ-regularity Invariant measures |
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