| 书目名称 | Random Walks on Reductive Groups |
| 编辑 | Yves Benoist,Jean-François Quint |
| 视频video | |
| 概述 | Provides a self-contained introduction to the products of independent identically distributed random matrices and to their Lyapunov exponents.Explains the relevance of the theory of reductive algebrai |
| 丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2016 |
| 关键词 | Markov chain; Martingale; Stationary measure; Law of Large Numbers; Lyapunov exponents; Algebraic group; C |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-47721-3 |
| isbn_softcover | 978-3-319-83805-2 |
| isbn_ebook | 978-3-319-47721-3Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
| issn_series | 0071-1136 |
| copyright | Springer International Publishing AG 2016 |
发表于 2025-3-21 19:13:26
