Lectures on the Coupling Method so the knitter will have

so the knitter will have no trouble in following along

Based on a course of lectures delivered by the author at Columbia University

and in the books of Gelfand and Shilov

books on abstract algebras

and an informative introduction places the brothers' work in historical perspective

Lectures on the Coupling Method so the knitter will haveAn important tool in probability theory and its applications, the coupling method is primarily used in estimates of total variation distances. The method also works well in establishing inequalities, and it has proven highly successful in the study of Markov and renewal process asymptotics. This text represents a detailed, comprehensive examination of the method and its broad variety of applications. Readers progress from simple to advanced topics,