Outline Deterministic diffusion Taylor-Green-Kubo approach Escape rate approach End

Setting the scene ergodic hypothesis Gibbs ensembles dynamical systems statistical mechanics thermodynamics equilibrium nonequilibrium steady states microscopic chaos complexity nonequilibrium conditions thermodynamic properties microscopic macroscopic theory of nonequilibrium statistical physics starting from microscopic chaos? infinite measures deterministic transport weakstrong fractal SRB measures normal anomalous nonequilibrium non-steady states approach should be particularly useful for ‘small ’ nonlinear systems From normal to anomalous (deterministic) diffusion 1 Rainer Klages 2 Outline Deterministic diffusion Taylor-Green-Kubo approach Escape rate approach End Outline focus on deterministic random walks on the line two lectures: 1 Normal deterministic diffusion two methods for two maps: Taylor-Green-Kubo and escape rate approach 2 Anomalous (deterministic) diffusion subdiffusion in a weakly chaotic map: CTRW theory and a fractional diffusion equation; fluctuation relations for anomalous stochastic processes From normal to anomalous (deterministic) diffusion 1 Rainer Klages 3 Outline Deterministic diffusion Taylor-Green-Kubo approach Escape rate approach End The drunken sailor at a lamppost random walk in one dimension (K. Pearson, 1905): time steps positio