The existence of chaotic trajectories is a universal feature of nonlinear systems. Chaotic properties are usually related to the structure of phase space and described asymptotically using methods of kinetic theories.In phase space of realistic physical models the domains of regular and irregular (chaotic) dynamics coexist. Such diversity of the dynamical landscape makes transport properties more subtle and less universal, than it was initially anticipated, and requires a new mathematics. The goal of the proposed lectures is to explain from the first principles the paths from dynamics to kinetics and from kinetics to transport.
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