Networks and Networking - A Statistical Physics Perspective

Details Networks and Networking - A Statistical Physics Perspective Networks and Networking - A Statistical Physics Perspective

2011-10-13

arxiv.org/abs/1110.2931v1

Physics

Physics and Society

(Review article) 54 pages, 5 figures

Scientific paper

Efficient networking in communication systems, both wired and wireless, has a substantial economic and societal impact. While communication networks become increasingly more complex, the ever increasing demand for higher transmission volume, quality of service, robustness and reduced energy consumption require new tools and methods to meet these conflicting pressures. The new methodology should serve for gaining better understanding of the properties of these networks at the macroscopic level, as well as for the development of new principled optimization and management algorithms at the microscopic level. Methods of statistical physics seem the best place to start the search for new approaches as they have been developed specifically to deal with non-linear large scale systems. This review aims at presenting an overview of tools that have been developed within the statistical physics community and that can be readily applied to address the emerging problems in networking. As network properties are at the heart of networking, we dedicate part of the review to introduce and briefly define particular network topologies of interest. We then review dynamic processes, primarily related to random walks on networks, and their use in the exploration of networks structure and vulnerability. Methods that have been developed within the physics community of disordered systems and their relation to probabilistic inference techniques are also reviewed and their relevance to the area of networking is presented.

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