Chaotic Dynamics and Transport in Classical and Quantum Systems

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. Language: English