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The Lyapunov Spectrum of a Continuous Product of Random Matrices | | A. Gamba
; I. V. Kolokolov
; | | Date: |
27 Oct 1996 | | Journal: | J. Stat. Phys. 85 (1996) 489-499 | | Subject: | Disordered Systems and Neural Networks | cond-mat.dis-nn | | Abstract: | We expose a functional integration method for the averaging of continuous products $hat{P}_t$ of $N imes N$ random matrices. As an application, we compute exactly the statistics of the Lyapunov spectrum of $hat{P}_t$. This problem is relevant to the study of the statistical properties of various disordered physical systems, and specifically to the computation of the multipoint correlators of a passive scalar advected by a random velocity field. Apart from these applications, our method provides a general setting for computing statistical properties of linear evolutionary systems subjected to a white noise force field. | | Source: | arXiv, cond-mat/9610192 | | Services: | Forum | Review | PDF | Favorites | |
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