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States that the once abstract notions of fractal space and time now appear naturally and inevitably in chaotic dynamical systems and lead to `strange kinetics' and anomalous transport properties. Turbulent fluid dynamics and particle random-walk processes; Additional information. INSETS: The St Petersburg paradox.;Weierstrass random walks..

Focuses on random walks, a phenomenon involved in particle trajectories that exhibit fractal, chaotic and turbulent behavior. Overview of studies made about random walks; Examples of a non-brownian random walk; Description of the chaos paradigm.