This second edition presents up-to-date material on the theory of weak
convergance of convolution products of probability measures in
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. This substantially
revised text includes exercises at various levels at the end of each
section and includes the best available proofs on the most important
theorems used in a book, making it suitable for a one semester course on
semigroups. In addition, it could also be used as a main text or
supplementary material for courses focusing on probability on algebraic
structures or weak convergence. This book is ideally suited to graduate
students in mathematics, and students in other fields, such as
engineering and the sciences with an interest in probability. Students
in statistics using advanced probability will also find this book
useful.