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一类生物复制网络度分布的重对数律 被引量：1

The Law of Iterated Logarithm for Degree Distributions of Some Biological Copy-networks
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摘要 本文研究一类生物复制网络度分布的收敛速度.利用组合和概率论知识,借助于文[6]中的鞅,讨论了度分布的重对数律. In this paper,we study the convergence rate of degree distribution of some Biological copy-network.In virtue of the knowledge of combination and probability,we discuss the law of iterated logarithm for degree distribution with the help of the martingale from [6].This work can offer some theoretical foundation for the research of biological interior system mechanism.
作者 毛明志 王艳
机构地区 中国地质大学数理学院数学系 军事经济学院基础部
出处 《应用数学》 CSCD 北大核心 2011年第4期778-783,共6页 Mathematica Applicata
基金 中国地质大学(武汉)优秀青年教师基金(CUGL090239) 国家重点基础研究发展规划(973)项目(2011CB710605)
关键词 生物复制网络 度分布 重对数律 Biological copy-network Degree distribution Law of iterated logarithm
分类号 O211.4 [理学—概率论与数理统计]
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参考文献6

  • 1Albert R, Barabasi A L. Statistical mechanics of complex networks[J]. Rev. Mod. Phys. 2002,74: 47-97.
  • 2Barabasi A L, Albert R. Emergence of scaling in random networks[J]. Science, 1999,286: 509-512.
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  • 6毛明志,王艳.一类生物复制网络的极限性质[J].应用数学,2009,22(3):527-533. 被引量：2

二级参考文献7

  • 1Fan C,,Lu L L,Gergory Dewey T,David Galas J.Duplication models for biological networks[].JCom-putBiolo.2003
  • 2Han D,Zhou Q.The continuous time markov processes and degree distribution of evolving[].CommunMathComputChem.2006
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  • 5Wagner,A.Evolution of gene networks by gene duplications: a mathematical model and its implications on genome organization[].Proceedings of the National Academy of Sciences of the United States of America.1994
  • 6R. Kumar,P. Raghavan,S. Rajagopalan,D. Sivakumar,A. S. Tomkins,and E. Upfal.Stochastic models for the Web graph[].Proceedings of the st Annual IEEE Symposium on the Foundations of Computer Science Institute of Electrical and Electronics Engineers.2000
  • 7Hall,P.,Heyde,C. C. Martingale Limit Theory and Its Applications . 1980

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同被引文献5

  • 1毛明志,王艳.一类生物复制网络的极限性质[J].应用数学,2009,22(3):527-533. 被引量：2
  • 2Albert R, Barabasi A L. Statistical mechanics of complex networks[J]. Rev. Mod. Phys. , 2002,74.. 47-97.
  • 3Chung F,LU Linyuan L, Dewey T G, Galas D. Duplication models for biological networks[J]. J. Comp. Bio. ,2003,10(5) :677-687.
  • 4Heyde C C. On central limit and iterated logarithm supplements to the martingales convergence theorem [J]. J. Applied Prob. ,1977,14: 758-775.
  • 5Mori T F. The maximum degree of the Barabasi-Alber random tree[J]. Combin. Probab. Comput. , 2005, 14: 339-348.

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应用数学
2011年 第4期

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