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Random Walks on Reductive Groups

Language EnglishEnglish
Book Paperback
Book Random Walks on Reductive Groups Yves Benoist
Libristo code: 20119070
Publishers Springer International Publishing AG, June 2018
The classical theory of random walks describes the asymptotic behavior of sums of independent identi... Full description
? points 368 b
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The classical theory of random walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients. Under the assumption that the action of the matrices is semisimple - or, equivalently, that the Zariski closure of the group generated by these matrices is reductive - and under suitable moment assumptions, it is shown that the norm of the products of such random matrices satisfies a number of classical probabilistic laws. This book includes necessary background on the theory of reductive algebraic groups, probability theory and operator theory, thereby providing a modern introduction to the topic.

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About the book

Full name Random Walks on Reductive Groups
Language English
Binding Book - Paperback
Date of issue 2018
Number of pages 323
EAN 9783319838052
Libristo code 20119070
Weight 5706
Dimensions 155 x 235 x 234
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