Introduction to the Theory of Coverage Processes (Wiley Series in Probability and Statistics)

Coverage processes are finding increasing application in such diverse areas as queueing theory, ballistics, and physical chemistry. Drawing on methodology from several areas of probability theory and mathematics, this monograph provides a succinct and rigorous development of the mathematical theory of models for random coverage patterns and introduces the concepts and tools underlying their generation. Focusing on processes in the continuum and the case of two or more dimensions, it presents a vast and rich source of problems, illustrating their applications to a diversity of fields, from image processing to industrial safety.