Empirical process techniques for independent data have been used for many years in statistics and probability theory. This work gives an introduction to a new theory of empirical process techniques --- treating dependent data --- which has so far been scattered widely in the statistical and probabilistic literature, and surveys the most recent developments in various related fields. To date this book is the only comprehensive treatment of the topic in book literature. It is an ideal introductory text that will serve as a reference or resource for classroom use.