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从统计物理学看复杂网络研究
  • 摘要

    从统计物理学来看,网络是一个包含了大量个体及个体之间相互作用的系统.本文从统计物理学的角度整理与总结了复杂网络目前的主要研究结果,并对将来的研究工作做了一个展望.文章把网络分为三个层次--无向网络、有向网络与加权网络,对不同网络的静态几何量研究的现状分别做了综述,并结合网络机制模型设计与评价的需要,提出了新的有待研究的静态几何量;对网络机制模型做了总结与分析,提出了有待解决的关于双向幂律网络的机制模型的问题;部分地概括了网络演化性质,网络的结构稳定性以及网络上的动力学模型的研究.然后,以我们目前正在进行的两个方面的工作-科学家网络和产品生产关系网络-为例,粗略地介绍了网络研究在一些实际问题中的应用.最后,作为一个简单的补充和索引,我们整理了复杂网络研究中部分常用的解析与数值计算的方法.

  • 作者

    吴金闪  狄增如 

  • 作者单位

    北京师范大学管理学院系统科学系,北京,100875;北京师范大学物理系,北京,100875/北京师范大学物理系,北京,100875

  • 刊期

    2004年1期 ISTIC PKU

  • 关键词

    统计物理学  复杂网络  综述  随机图  幂律  无标度网络 

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