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A difference equation approach to statistical mechanics of complex networks
Abstract：In this paper, we propose a difference equation approach to the estimation of the degree distributions in growing networks after having analyzed the disadvantages of some existing approaches. This approach can avoid logic conflicts caused by the continuum of discrete problems, and does not need the existence assumption of the stationary degree distribution in the network analysis. Using this approach, we obtain a degree distribution formula of the Poisson growth and preferential attachment network. It is rigorously shown that this network is scale-free based on the Poisson process theory and properties of F-distribution. 作者： Author： Jin-li GUO 作者单位： Business School, University of Shanghai for Science and Technology, Shanghai 200093, P. R. China 期 刊： 应用数学和力学（英文版） EISCI Journal： APPLIED MATHEMATICS AND MECHANICS 年，卷(期)： 2009, 30(8) 分类号： N94 Keywords： complex network degree distribution scale-free network 机标分类号： O4 TP2 机标关键词： complex networks statistical mechanics approach degree distributions difference equation Poisson process existence problems theory paper based avoid 基金项目： 国家自然科学基金，the Foundation of Shanghai Leading Academic Discipline Project A difference equation approach to statistical mechanics of complex networks[期刊论文] 应用数学和力学（英文版） --2009, 30(8)In this paper, we propose a difference equation approach to the estimation of the degree distributions in growing networks after having analyzed the disadvantages of some existing approaches. This appr...【A difference equation approach to st】相关文章：
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