Stochastic Geometry and Wireless Networks, Volume I - Theory

Stochastic Geometry and Wireless Networks, Volume I - Theory

2009 | François Baccelli, Bartłomiej Blaszczyszyn
This monograph, "Stochastic Geometry and Wireless Networks, Volume I - Theory," by François Baccelli and Bartłomiej Blaszczyszyn, focuses on the theoretical aspects of stochastic geometry and its applications to wireless networks. The book is structured into three parts: Part I provides a comprehensive survey of classical stochastic geometry models, including Poisson point processes, marked point processes, shot-noise fields, Boolean models, and Voronoi tessellations. Part II delves into the stochastic geometry of Signal-to-Interference Ratio (SINR) cells, exploring their properties and interactions. Part III serves as an appendix, offering mathematical tools used throughout the monograph. The authors aim to provide a unified framework for analyzing both time and space averages in large-scale wireless networks, addressing key issues such as phase transitions, scaling laws, and the impact of interference on network performance. The book is intended for researchers and practitioners interested in the theoretical foundations and practical applications of stochastic geometry in wireless communication networks.This monograph, "Stochastic Geometry and Wireless Networks, Volume I - Theory," by François Baccelli and Bartłomiej Blaszczyszyn, focuses on the theoretical aspects of stochastic geometry and its applications to wireless networks. The book is structured into three parts: Part I provides a comprehensive survey of classical stochastic geometry models, including Poisson point processes, marked point processes, shot-noise fields, Boolean models, and Voronoi tessellations. Part II delves into the stochastic geometry of Signal-to-Interference Ratio (SINR) cells, exploring their properties and interactions. Part III serves as an appendix, offering mathematical tools used throughout the monograph. The authors aim to provide a unified framework for analyzing both time and space averages in large-scale wireless networks, addressing key issues such as phase transitions, scaling laws, and the impact of interference on network performance. The book is intended for researchers and practitioners interested in the theoretical foundations and practical applications of stochastic geometry in wireless communication networks.
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[slides and audio] Stochastic Geometry and Wireless Networks%2C Volume 1%3A Theory