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The Resource Probability measures on semigroups : convolution products, random walks and random matrices, Göran Högnäs, Arunava Mukherjea

Probability measures on semigroups : convolution products, random walks and random matrices, Göran Högnäs, Arunava Mukherjea

Creator
Contributor
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 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
Language
eng
Work
Publication
Edition
2nd ed.
Extent
1 online resource (xii, 430 pages)
Contents
  • Semigroups
  • Probability measures on topological semigroups
  • Random walks on semigroups
  • Random matrices
Isbn
9780387775470
Instance
Label
Probability measures on semigroups : convolution products, random walks and random matrices
Title
Probability measures on semigroups
Title remainder
convolution products, random walks and random matrices
Statement of responsibility
Göran Högnäs, Arunava Mukherjea
Creator
Contributor
Subject
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 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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Högnäs, Göran
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
http://library.link/vocab/relatedWorkOrContributorDate
1941-
http://library.link/vocab/relatedWorkOrContributorName
Mukherjea, Arunava
Series statement
Probability and its applications
http://library.link/vocab/subjectName
  • Probability measures
  • Semigroups
  • Random measures
  • Convolutions (Mathematics)
  • Random walks (Mathematics)
  • Random matrices
  • MATHEMATICS
  • Convolutions (Mathematics)
  • Probability measures
  • Random matrices
  • Random measures
  • Random walks (Mathematics)
  • Semigroups
Label
Probability measures on semigroups : convolution products, random walks and random matrices, Göran Högnäs, Arunava Mukherjea
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 413-422) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Semigroups -- Probability measures on topological semigroups -- Random walks on semigroups -- Random matrices
Control code
694574477
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xii, 430 pages)
Form of item
online
Isbn
9780387775470
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-77548-7
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-77547-0
Specific material designation
remote
System control number
(OCoLC)694574477
Label
Probability measures on semigroups : convolution products, random walks and random matrices, Göran Högnäs, Arunava Mukherjea
Publication
Bibliography note
Includes bibliographical references (pages 413-422) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Semigroups -- Probability measures on topological semigroups -- Random walks on semigroups -- Random matrices
Control code
694574477
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource (xii, 430 pages)
Form of item
online
Isbn
9780387775470
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-387-77548-7
http://library.link/vocab/ext/overdrive/overdriveId
978-0-387-77547-0
Specific material designation
remote
System control number
(OCoLC)694574477

Subject

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