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A recent numerical study of spatially-extended systems has revealed that the diffusion coefficient D of the Lyapunov exponents (LEs) exhibits a non-trivial scaling behavior, D(L) ~ L^{-\\gamma}, with the system size L. Here, we show that the wandering exponent \\gamma can be expressed in terms of the roughening exponents associated with the corresponding \"Lyapunov-surface\". 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