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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 convergance. 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."
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 convergance. 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."
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