99-47 J.-M. Barbaroux, H. Schulz-Baldes
Anomalous quantum transport in presence of self-similar spectra (257K, ps-file) Feb 12, 99
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Abstract. We consider finite-difference Hamiltonians given by Jacobi matrices with self-similar spectra of the Cantor type and prove upper bounds on the diffusion exponents which show that the quantum motion in these models is anomalous diffusive. For Julia matrices, this bound is expressed only in terms of the generalized dimensions of the spectral measures.

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