| 一个具有Markov性的入圈问题 |
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| 引用本文： | 陈玉成.一个具有Markov性的入圈问题[J].鹭江职业大学学报,2014(5):98-101. |
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| 作者姓名： | 陈玉成 |
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| 作者单位： | 厦门理工学院应用数学学院,福建 厦门361024 |
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| 摘 要： | 研究序列{Xn},{Xn}满足Xn = Yn（mod 2）,其中Yn∈Z＋, Y0≥2, Yn＋1= Yn ＋Yn/2],证明了{Xn}为一独立随机变量序列,并且是一时间齐次Markov链。最后,利用该Markov链{Xn}的性质,证明了入圈问题经过有限次插点, Cm 的任意一边上都至少插入一个新点。
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| 关 键 词： | 入圈 Markov过程 首达概率 |
A Problem on Markov Properties of Circular Interpolation |
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| CHEN Yu-cheng.A Problem on Markov Properties of Circular Interpolation[J].Journal of Lujiang University,2014(5):98-101. |
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| Authors: | CHEN Yu-cheng |
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| Institution: | CHEN Yu-cheng (School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, China) |
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| Abstract: | In this paper, a sequence{Xn} is considered. It satisfies the equationXn = Yn（mod 2） in which Yn∈Z＋, Y0≥2, Yn＋1 = Yn ＋ Yn/2]. It is proved that the sequence{Xn} is an independent random variables sequence and a time homogeneous Markov chain. Based on the properties of the Markov chain{X n} , it is demonstrated that any edge of the initial circle C m is interpolated at least one new node after finite steps of circular interpolation. |
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| Keywords: | circular interpolation Markov progress first arrived probability |
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