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020 _a9780387775487
_9978-0-387-77548-7
040 _cMX-MeUAM
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
082 0 4 _a519.2
_223
100 1 _aHögnäs, Göran.
_eauthor.
245 1 0 _aProbability Measures on Semigroups
_h[recurso electrónico] :
_bConvolution Products, Random Walks and Random Matrices /
_cby Göran Högnäs, Arunava Mukherjea.
250 _a2.
264 1 _aBoston, MA :
_bSpringer US,
_c2011.
300 _aXII, 430 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProbability and Its Applications,
_x1431-7028
505 0 _aSemigroups -- Probability Measures on Topological Semigroups -- Random Walks on Semigroups -- Random Matrices -- 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 0 _aMathematics.
650 0 _aComputer science.
650 0 _aTopological Groups.
650 0 _aGlobal analysis (Mathematics).
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aProbability and Statistics in Computer Science.
650 2 4 _aTopological Groups, Lie Groups.
650 2 4 _aAnalysis.
700 1 _aMukherjea, Arunava.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387775470
830 0 _aProbability and Its Applications,
_x1431-7028
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-387-77548-7
596 _a19
942 _cLIBRO_ELEC
999 _c198138
_d198138