Weak disorder expansion of Lyapunov exponents of products of random matrices: A degenerate theory |
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| Authors: | P Markoš |
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| Institution: | (1) PTB Braunschweig, D-3300 Braunschweig, Germany;(2) Present address: Institute of Physics, Slovak Academy of Science, 842 28 Bratislava, Slovakia |
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| Abstract: | The weak disorder expansion of Lyapunov exponents of products of random matrices is derived by a new method. Our treatment can be easily generalized to the problem when in the limit of zero randomness two eigenvalues of the matrices are equal. For real degenerate matrices, the formula for the leading term of the Lyapunov exponent is derived. It has the form of a continuous fraction, which converges quickly to the exact value. |
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| Keywords: | Product of random matrices Lyapunov exponents degenerate perturbation |
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