Introduction to the Theory of Coverage Processes

Examples, concepts and tools random line segments, queues and counters vacancy counting and clumping elements of inference. Appendices: direct Radon-Nikodym theorem central limit theorem, Poisson limit theorem, ergodic theorem and law of large numbers Shepp's coverage theorem mean content and mean square content of cells formed by Poisson field of random planes multitype branching processes lattice percolation.