Table of Contents

Theory.- A Short Ergodic Theory Refresher.- Notes on Spectral Theory, Mixing and Transport.- Complexity, Fractal Dimensions and Topological Entropy in Dynamical Systems.- Working with Complexity Functions.- SRB distribution for Anosov maps.- Dynamical Systems Theory of Irreversibility.- Aspects of Open Quantum System Dynamics.- Energy Surfaces and Hierarchies of Bifurcations.- Phase-Space Semiclassical Analysis. Around Semiclassical Trace Formulae.- Applications.- Atom-Optics Billiards.- Control of Chaos and Separation of Particles in Inertia Ratchets.- Fractal Time Random Walk and Subrecoil Laser Cooling Considered as Renewal Processes with Infinite Mean Waiting Times.- Anomalous Transport in Two-Dimensional Plasma Turbulence.- The Onset of Synchronism in Globally Coupled Ensembles of Chaotic and Periodic Dynamical Units.- Quantum Breaking Time for Chaotic Systems with Phase Space Structures.- Hamiltonian Chaos and Fractals in Cavity Quantum Electrodynamics.- Inert and Reacting Transport.- Anomalous Transport in Steady Plane Flows of Viscous Fluids.- Tracer Transport During the Geostrophic Adjustment in the Equatorial Ocean.- The Fermi-Pasta-Ulam Problem in the Thermodynamic Limit.