We present some results concerning the properties of Lyapunov spectra of chaotic dynamical systems in the large volume limit. An analogy with the theory of random matrices is stressed. We exploit the similarity of the evolution in tangent space with the Schrodinger equation to derive some analytical results on the intermittency of Lyapunov vectors, and on the Lyapunov spectrum itself, for physical systems of coupled oscillators and of coupled maps.
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