Abstract
We prove that, depending on the observer's topology, a classical random walk becomes subdiffusion after inclusion into the “light phase space” and becomes a superdiffusion after inclusion into a “heavy phase space.” In the proofs we use results of [N. S. Arkashov and V. A. Seleznev, Siberian Math. J., 54 (2013), pp. 962--923] concerning the inclusion of random processes.
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