منابع مشابه
Statistical mechanics of complex networks
Complex networks describe a wide range of systems in nature and society. Frequently cited examples include the cell, a network of chemicals linked by chemical reactions, and the Internet, a network of routers and computers connected by physical links. While traditionally these systems have been modeled as random graphs, it is increasingly recognized that the topology and evolution of real netwo...
متن کاملStatistical mechanics of networks.
We study the family of network models derived by requiring the expected properties of a graph ensemble to match a given set of measurements of a real-world network, while maximizing the entropy of the ensemble. Models of this type play the same role in the study of networks as is played by the Boltzmann distribution in classical statistical mechanics; they offer the best prediction of network p...
متن کاملNonextensive statistical mechanics and complex scale-free networks
‘aging’ scaling property typical of glassy dynamics when σ → 0. 4) A progression from normal diffusiveness to subdiffusive behavior and finally to a stop in the growth of the mean square displacement as demonstrated by the use of a repeated-cell map. (see Fig. 3) The existence of this analogy is perhaps not accidental since the limit of vanishing noise amplitude σ → 0 involves loss of ergodicity.
متن کاملStatistical mechanics of multiedge networks.
Statistical properties of binary complex networks are well understood and recently many attempts have been made to extend this knowledge to weighted ones. There are, however, subtle yet important considerations to be made regarding the nature of the weights used in this generalization. Weights can be either continuous or discrete magnitudes, and in the latter case, they can additionally have un...
متن کاملStatistical Mechanics of Biological Networks
This paper outlines an approach to the topological analysis of large-scale biological networks. The approach uses concepts from statistical mechanics and information theory to develop automated analysis methods able to generate empirically testable hypotheses about the entities in the networks based on the topology of their connections.
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ژورنال
عنوان ژورنال: Reviews of Modern Physics
سال: 2002
ISSN: 0034-6861,1539-0756
DOI: 10.1103/revmodphys.74.47