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Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method

Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method

This work extends the applications of Anderson-type Hamiltonians to include transport characterized by anomalous diffusion. Herein, we investigate the transport properties of a one-dimensional disordered system that employs the discrete fractional Laplacian, in combination with results from spectral and measure theory. It is a classical mathematical result that the standard …