Probability Measures on Semigroups: Convolution Products, Random Walks and Random Matrices (University Series in Mathematics)

The authors present up-to-date information on the theory of weak convergence of convolution products of probability measures on semigroups, the theory of random walks on semigroups, and their applications to products of random matrices. In addition, this unique work examines the essentials of abstract semigroup theory and its application to concrete semigroups of matrices. Graduate students as well as researchers in pure and applied mathematics will appreciate this well-illustrated work.