无尺度网络中的统计力学特征

Statistical Mechanics of Scale-free Networks

从统计力学的角度分析和考察了无尺度网络(scale freenetworks)的基本特征,介绍了无尺度网络(scale freenetworks)的最常用的动力学模型——Barabasi Albert模型,总结求解度分布的理论方法,分析此动力学模型自身的不足,并据此提出新的研究问题。

We introduce such a model, the Barabasi-Albert model of growing networks has been well-studied, where the dominant dynamics based only on the well-known preferential attachments of new nodes. The Barabasi-Albert model can not be used to account for such networks including the deletions of existing nodes or links. So We introduce such a model, besides including the preferential attachments of new nodes , where one also has to contend with rapid and random deletions of existing nodes or links and the compensatory links.