Scaling law for the maximum Lyapunov characteristic exponent of infinite product of random matrices
- 1 June 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (8) , L425-L428
- https://doi.org/10.1088/0305-4470/19/8/003
Abstract
The authors present a simple derivation for the scaling behaviour of the maximum Lyapunov characteristic exponent lambda of infinite product of symplectic random matrices. The considered random matrices depend on a parameter epsilon and lambda =0 for epsilon =0. They obtain lambda varies as epsilon beta with either beta =1/2 or beta =2/3 depending on the probability distribution of the matrix elements. The results are in agreement with a previous numerical simulation.Keywords
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