Probabilistic modeling and analysis of spatial telecommunication systems
have never been more important than they are today. In particular, it is
an essential research area for designing and developing next-generation
communication networks that are based on multihop message transmission
technology. These lecture notes provide valuable insights into the
underlying mathematical discipline, stochastic geometry, introducing the
theory, mathematical models and basic concepts. They also discuss the
latest applications of the theory to telecommunication systems.
The text covers several of the most fundamental aspects of quality of
service: connectivity, coverage, interference, random environments, and
propagation of malware. It especially highlights two important limiting
scenarios of large spatial systems: the high-density limit and the
ergodic limit. The book also features an analysis of extreme events and
their probabilities based on the theory of large deviations. Lastly, it
includes a large number of exercises offering ample opportunities for
independent self-study.