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离散时间随机游动的遍历性 被引量:1

ERGODICITY FOR DISCRETE-TIME RANDOM WALKS
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摘要 首次给出了离散时间的随机游动满足几何遍历性的显式判别准则 ,并且证明此类过程不可能一致遍历 . The explicit formulas are presented for the first time for general discrete-time random walks to be geometrically ergodic. It is proven that these processes can never be uniformly ergodic.
作者 毛永华
出处 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2002年第6期729-733,共5页 Journal of Beijing Normal University(Natural Science)
基金 教育部博士点基金资项目 国家"九七三"计划资助项目 国家自然科学基金资助项目 (10 12 110 1) 国家杰出青年基金资助项目
关键词 离散时间 随机游动 遍历性 Karlin-Mcgregor表示 显式判别准则 马氏半群 random walk ergodicity Karlin-Mcgregor representation
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参考文献9

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同被引文献8

  • 1CHEN MUFA(Department of Mathematics,Beijing Normal University,Beijing 100875,China).SINGLE BIRTH PROCESSES[J].Chinese Annals of Mathematics,Series B,1999,20(1):77-82. 被引量:16
  • 2[1]Chen Mufa.Ergodic convergence rates of Markov processes[M].北京:高等教育出版社,2002
  • 3[2]Mao Yonghua. Strong ergodicity for Markov processes by coupling method[J]. J Appl Prob, 2002,39: 839
  • 4[3]Zhang Yuhui. Strong erdogicity for single-birth processes[J]. J Appl Prob, 2001, 38: 270
  • 5[4]Chen R R. An extended class of time-contimuous branching processes[J]. J Appl Prob, 1997, 34:14
  • 6[5]Chen Mufa. From Markov chains to non-equilibrium particle systems[M]. Singapore: World Scientific,1992
  • 7毛永华.离散时间遍历的Markov链的代数式收敛[J].中国科学(A辑),2003,33(2):152-160. 被引量:3
  • 8毛永华.连续时间Markov链的遍历度[J].中国科学(A辑),2003,33(5):409-420. 被引量:1

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