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cond-mat.stat-mech2010★ 8 cited
Anomalous diffusion with log-periodic modulation in a selected time interval
L. Padilla, H. O. Mártin, J. L. Iguain
On certain self-similar substrates the time behavior of a random walk is modulated by logarithmic periodic oscillations on all time scales. We show that if disorder is introduced i…
cond-mat.stat-mech2010★ 9 cited
Log-periodic oscillations for diffusion on self-similar finitely ramified structures
L. Padilla, H. O. Mártin, J. L. Iguain
Under certain circumstances, the time behavior of a random walk is modulated by logarithmic periodic oscillations. The goal of this paper is to present a simple and pedagogical exp…