Random walks on reductive groups / Yves Benoist, Jean-François Quint.
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 assum...
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| Online Access: |
Full Text (via Springer) |
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| Main Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
2016.
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| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete ;
3. Folge, Bd. 62. |
| Subjects: |
| Summary: | 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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| Physical Description: | 1 online resource. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783319477213 3319477218 |
| ISSN: | 0071-1136 ; |
| Source of Description, Etc. Note: | Print version record. |