Random Measures, Theory and Applications

Offering the first comprehensive treatment of the theory of random measures, this book has a very broad scope, ranging from basic properties of Poisson and related processes to the modern theories of convergence, stationarity, Palm measures, conditioning, and compensation.The three large final chapters focus on applications within the areas ofstochastic geometry, excursion theory, and branching processes. Although this theory plays a fundamental role in most areas of modern probability,much of it, including the most basic material, has previously been availableonly in scores of journal articles. Thebook is primarily directed towards researchers and advanced graduate students instochastic processes and related areas.