Strange diffusion is defined as a process in which the mean square displacement of a randomly walking test particle behaves asymptotically as x 2 (t) ∼ t α , with α =1 . A brief review of the properties of such processes is presented, stressing their deep difference from the corresponding normal diffusive evolution. A number of examples are discussed, including diffusion of charged particles in a fluctuating magnetic field, continuous time random walks and transport in chaotic Hamiltonian systems.
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