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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA273.SPR FCT 97017 (Browse shelf) | 1 | Available |
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QA273.SPR FCT 96984 Asymptotic expansion of a partition function related to the sinh-model | QA273.SPR FCT 97008 BetOnMath | QA273 SPR FCT 97013 Mathematical and statistical modeling for emerging and re-emerging infectious diseases | QA273.SPR FCT 97017 Random walks on reductive groups | QA273.SPR FCT 97028 Mod-ϕ convergence | QA273.SPR FCT 97194 Rabi N. Bhattacharya | QA273.SPR FCT 97274 The parabolic Anderson model |
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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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