q-exponential waiting times in mass-conserving convolutional cascades yield α-stable Lévy hydrographs for 1<q<2, with a Galilean-shifted Lévy density at the critical q=5/3.
Lutz,Anomalous diffusion and Tsallis statistics in an op- tical lattice, Physical Review A67, 051402 (2003)
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Asymptotic hydrographs and anomalous dispersion in mass-conserving storage cascades
q-exponential waiting times in mass-conserving convolutional cascades yield α-stable Lévy hydrographs for 1<q<2, with a Galilean-shifted Lévy density at the critical q=5/3.