000			03189 a2200289 4500
999			_c53550 _d53550
008			200922b ||||| |||| 00| 0 eng d
020			_a9781461427322
082			_a519.28 _bHOG
100			_aHognas, Goran
245			_aProbability measures on semigroups: convolution products, random walks and random matrices
250			_a2nd
260			_bSpringer, _c2010. _aNew York:
300			_axii, 430 p.; _bpb; _c24 cm.
365			_aEURO _b139.99
440			_aProbability and Its Applications.
504			_aIncludes bibliographical references (p. 413-422) and index.
520			_aSemigroups 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 well-written 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 Grenzgebiete-Mathematical Abstracts 'This well-written 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.
650			_aMathematics
650			_aProbabilities
650			_aTopological Semigroups
650			_aRandom Walks
650			_aRandom Matrices
650			_aDimensional Matrices
650			_aProbability measures
700			_aMukherjea, Arunava
942			_2ddc _cTD