Wednesday, 17 January 2007

pr.probability - Random Walks and Lyapunov exponents

Random dynamical systems by Ludwig Arnold contains a thorough discussion of various multiplicative ergodic theorems (including the Furstenberg-Kesten result), but not the central limit theorems. As far as I remember, the case of stationary sequences of linear stochastic iterations is also included there.



Edit. Concerning central limit theorems for products of random matrices, a quick search yields this reference.

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