A difference equation approach to statistical mechanics of complex networks.pdf

Appl．Math．Mech．·En91．Ed．ao(8)，1063--1068(2009) Mathematics DOh Applied 10．1007／s10483-009-0813-6 andMechanics 适)Shanghai and 2009 UniversitySpringer-Verlag (EnglishEdition) Adifference tostatistical equationapproach mechanicsof networks+ complex Jin-li GUO(郭进利) of forScienceand (BusinessSchool，UniversityShanghai Technology，Shanghai200093，P．R．China) byLi-qun (CommunicatedCHEN) AbstractInthis adifference totheestimationof paper，wepropose equationapproach the in after the distributionsnetworks of degree growing havinganalyzeddisadvantages some canavoid conflicts contin- causedthe existingapproaches．Thisapproach logic by sumofdiscrete doesnotneedtheexistence ofthe stationary proble瑚．and assumption distributioninthenetwork this obtaina degree analysis．Usingapproach，wedegree distributionformulaofthePoisson and attachmentnetwork．Itis growthpreferential is on shownthatthisnetworkscale-freebasedthePoisson and rigorously processtheory ofr-distribut