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Infinite Products of Random Isotropically Distributed Matrices (1607.03616v1)
Published 13 Jul 2016 in nlin.CD and physics.flu-dyn
Abstract: Statistical properties of infinite products of random isotropically distributed matrices are investigated. Both for continuous processes with finite correlation time and discrete sequences of independent matrices, a formalism that allows to calculate easily the Lyapunov spectrum and generalized Lyapunov exponents is developed. This problem is of interest to probability theory, statistical characteristics of matrix T-exponentials are also needed for turbulent transport problems, dynamical chaos and other parts of statistical physics.
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