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Periodic Orbit Theory of Anomalous Diffusion

Roberto Artuso, Giulio Casati, Roberto Lombardi

chao-dynarXiv:chao-dyn/9302002

Abstract

We introduce a novel technique to find the asymptotic time behaviour of deterministic systems exhibiting anomalous diffusion. The procedure is tested for various classes of simple but physically relevant 1-D maps and possible relevance of our findings for more complicated problems is briefly discussed.

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