复杂网络一无标度特征Complex network scale-free characteristics·什么是“无标度”Scale-freeP(k) = ckαP(ak) = c(ak)~ = a°ck~ = 2° P(k)2kP(ak) = ce-
复杂网络—无标度特征 Complex network scale-free characteristics • 什么是“无标度” Scale-free P(k) = ck P( k) c( k) ck P(k) = = = ( ) k k P k ce c e − − ( ) = =
复杂网络一无标度特征Scale-free characteristics“无标度”。什么是01=21=4-501=621=8--1001=10-3-150(a0)d(0BO-40-200-51=21=4-250-61=61=8-300-71=10-835020323011ogklogk
复杂网络—无标度特征 Scale-free characteristics • 什么是“无标度
复杂网络一无标度特征Scale-free characteristics“无标度”说明了什么？自组织临界：生物物种分布、DNA结构、地震、降水、森林火灾、人口分布、姓氏分布、经济活动等Self-organized criticality:distribution of biological species,DNAstructure, earthquakes, precipitation, forest fires, populationdistribution, surname distribution, economic activity, etc.马太效应：“富者越富”Mattheweffect:“Thericherthericher
复杂网络—无标度特征 Scale-free characteristics • “无标度”说明了什么？ – 自组织临界：生物物种分布、DNA结构、地震、降水、森林火灾、 人口分布、姓氏分布、经济活动等 – Self-organized criticality: distribution of biological species, DNA structure, earthquakes, precipitation, forest fires, population distribution, surname distribution, economic activity, etc. – 马太效应：“富者越富” – Matthew effect: “The richer the richer" –