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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.

Telecommunication systems. --- Information networks. --- Stochastic processes. --- Statistical communication theory. --- Spatial analysis (Statistics)

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The chapters in this volume were presented at the July–August 2006 NATO Advanced Study Institute on Imaging for Detection and Identi?cation. The conference was held at the beautiful Il Ciocco resort near Lucca, in the glo- ous Tuscany region of northern Italy. For the eighth time we gathered at this idyllicspottoexploreandextendthereciprocitybetweenmathematicsand- gineering. The dynamic interaction between world-renowned scientists from the usually disparate communities of pure mathematicians and applied sci- tists which occurred at our seven previous ASI’s continued at this meeting. The fusion of basic ideas in mathematics, radar, sonar, biology, and ch- istry with ongoing improvements in hardware and computation offers the promise of much more sophisticated and accurate detection and identi?cation capabilities than currently exist. Coupled with the dramatic rise in the need for surveillance in innumerable aspects of our daily lives, brought about by hostile acts deemed unimaginable only a few short years ago, the time is ripe for image processing scientists in these usually diverse ?elds to join together in a concerted effort to combat the new brands of terrorism. This ASI was one important initial step.

Imaging systems --- Signal detection --- Identification --- Security systems --- Imagerie (Technique) --- Détection du signal --- Systèmes de sécurité --- Congresses. --- Equipment and supplies --- Congrès --- Appareils et matériel --- Imaging systems -- Congresses. --- Security systems -- Congresses. --- Signal detection -- Congresses. --- Electrical Engineering --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Mathematics --- Forensic identification --- Detection, Signal --- Detection theory, Signal --- Signal detection theory --- Engineering. --- Computer graphics. --- Physical measurements. --- Measurement. --- Signal, Image and Speech Processing. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Measurement Science and Instrumentation. --- Optics, Lasers, Photonics, Optical Devices. --- Statistical communication theory --- Receiver operating characteristic curves --- Radar --- Remote sensing --- Television --- Scanning systems --- Computer vision. --- Machine vision --- Vision, Computer --- Artificial intelligence --- Image processing --- Pattern recognition systems --- Signal processing. --- Image processing. --- Speech processing systems. --- Optical data processing. --- Measurement   . --- Lasers. --- Photonics. --- New optics --- Optics --- Light amplification by stimulated emission of radiation --- Masers, Optical --- Optical masers --- Light amplifiers --- Light sources --- Optoelectronic devices --- Nonlinear optics --- Optical parametric oscillators --- Measuring --- Mensuration --- Technology --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics --- Measurement --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Computational linguistics --- Electronic systems --- Information theory --- Modulation theory --- Oral communication --- Speech --- Telecommunication --- Singing voice synthesizers --- Pictorial data processing --- Picture processing --- Processing, Image --- Optical data processing --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Optical equipment