Probability measures on semigroups : convolution products, random walks and random matrices
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Probability measures on semigroups : convolution products, random walks and random matrices
Resource Information
The work Probability measures on semigroups : convolution products, random walks and random matrices represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Probability measures on semigroups : convolution products, random walks and random matrices
 Title remainder
 convolution products, random walks and random matrices
 Statement of responsibility
 Göran Högnäs, Arunava Mukherjea
 Subject

 Convolutions (Mathematics)
 Convolutions (Mathematics)
 MATHEMATICS  Probability & Statistics  General
 Probability measures
 Probability measures
 Probability measures
 Random matrices
 Random matrices
 Random matrices
 Random measures
 Random measures
 Random measures
 Random walks (Mathematics)
 Random walks (Mathematics)
 Random walks (Mathematics)
 Semigroups
 Semigroups
 Semigroups
 Convolutions (Mathematics)
 Language
 eng
 Summary
 Semigroups are very general structures and scientists often come across them in various contexts in science and engineering. In this second edition of Probability Measures on Semigroups, first published in the University Series in Mathematics in 1996, the authors present 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. They examine the essentials of abstract semigroup theory and its application to concrete semigroups of matrices. They present results on weak convergence, random walks, random matrices using semigroup ideas that for the most part are complete and best possible. Still, as the authors point out, there are other results that remain to be completed. These are all mentioned in the notes and comments at the end of each chapter, and will keep the readership of this book enthusiastic and interested for some time to come. Apart from corrections of several errors, new results have been added in the main text and in the appendices; the references, all notes and comments at the end of each chapter have been updated, and exercises have been added. This volume is suitable for a one semester course on semigroups and it could be used as a main text or supplementary material for courses focusing on probability on algebraic structures or weak convergence. It is ideally suited to graduate students in mathematics, and in other fields such as engineering and sciences with an interest in probability. Students in statistics using advance probability will also find it useful. 'A wellwritten book ... This is elegant mathematics, motivated by examples and presented in an accessible way that engages the reader.' International Statistics Institute, December 1996 'This beautiful book ... guides the reader through the most important developments ... a valuable addition to the library of the probabilist, and a must for anybody interested in probability on algebraic structures.' Zentralblatt für Mathematik und ihre GrenzgebieteMathematical Abstracts 'This wellwritten volume, by two of the most successful workers in the field ... deserves to become the standard introduction for beginning researchers in this field.' Journal of the Royal Statistical Society
 Cataloging source
 GW5XE
 Dewey number
 519.28
 Index
 index present
 LC call number
 QA273.6
 LC item number
 .H64 2011
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Probability and its applications
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