Random networks for communication : from statistical physics to information systems
著者
書誌事項
Random networks for communication : from statistical physics to information systems
（Cambridge series on statistical and probabilistic mathematics）
Cambridge University Press, 2007
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
When is a random network (almost) connected? How much information can it carry? How can you find a particular destination within the network? And how do you approach these questions - and others - when the network is random? The analysis of communication networks requires a fascinating synthesis of random graph theory, stochastic geometry and percolation theory to provide models for both structure and information flow. This book is the first comprehensive introduction for graduate students and scientists to techniques and problems in the field of spatial random networks. The selection of material is driven by applications arising in engineering, and the treatment is both readable and mathematically rigorous. Though mainly concerned with information-flow-related questions motivated by wireless data networks, the models developed are also of interest in a broader context, ranging from engineering to social networks, biology, and physics.
目次
- Preface
- 1. Introduction
- 2. Phase transitions in infinite networks
- 3. Connectivity of finite networks
- 4. More on phase transitions
- 5. Information flow in random networks
- 6. Navigation in random networks
- Appendix
- References
- Index.
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