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Статья

Statistical Properties of the T-Exponential of Isotropically Distributed Random Matrices

Il’yn A., Sirota V., Zybin K.

A functional method for calculating averages of the time-ordered exponential of a continuous isotropic random (Formula presented.) matrix process is presented. The process is not assumed to be Gaussian. In particular, the Lyapunov exponents and higher correlation functions of the T-exponent are derived from the statistical properties of the process. The approach may be of use in a wide range of physical problems. For example, in theory of turbulence the account of non-gaussian statistics is very important since the non-Gaussian behavior is responsible for the time asymmetry of the energy flow. © 2016 Springer Science+Business Media New York