Author 
Högnäs, Göran.

Series 
Probability and its applications 

Probability and its applications.

Subject 
Probability measures.


Semigroups.


Random measures.


Convolutions (Mathematics)


Random walks (Mathematics)


Random matrices.

Alt Name 
Mukherjea, Arunava, 1941

Description 
1 online resource (xii, 430 pages). 

polychrome rdacc 
Edition 
Second edition. 
Bibliography Note 
Includes bibliographical references (pages 413422) and index. 
Contents 
Semigroups  Probability measures on topological semigroups  Random walks on semigroups  Random matrices. 
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 fur 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. 
Note 
Print version record. 
ISBN 
9780387775487 (electronic bk.) 

038777548X (electronic bk.) 

0387775471 

9780387775470 

9780387775470 
ISBN/ISSN 
10.1007/9780387775487 
OCLC # 
694574477 
Additional Format 
Print version: Mukherjea, Arunava, 1941 Probability measures on semigroups. 2nd ed. New York ; London : Springer, 2008 9780387775470 (OCoLC)234298527 
