Lecture Notes in Physics

Stochastic processes from deterministic dynamics.- The interplay of classical and quantum stochastics: Diffusion, measurement and filtering.- Event enhanced and piecewise deterministic quantum theory or the right jump at the right place.- Wave mechanics: The interplay between stochastics and quanta.- Levy processes and relativistic quantum dynamics.- Quantum coherence and decoherence in a classically chaotic experimentally accessible quantum optical system.- Anomalous diffusion, spontaneous localizations and the correspondence principle.- Quantum open systems as random classical dynamical systems.- Large-Scale Structure of the Universe and Asymptotics of Burgers' Turbulence with Heavy-tailed Dependent Data Yiming Hue and.- Convergence of iterative methods in perturbation theory.- Eigenfunction expansions for time dependent hamiltonians.- Strange attractors in higher-dimensional phase space.- Mathematical classification of complete chaos.- Anomalous diffusion and Levy statistics in intermittent chaotic systems.- Classical and quantum chaotic scattering.- From fractals to stochastic differential equations.- Dissipative structures and weak turbulence.- Entropy and quantum characteristic exponents. steps towards a quantum pesin theory.- Rigorous numerics of chaotic dynamical systems.- The effect of symmetry breaking on random walks and brownian motion.- Quantum dynamical entropy.- Strange attractors in nonlinear oscillators.- Wave packet propagation, nonlinear dynamics, and constructing Chaotic Eigenstates.- Chaotic dynamics of weakly nonlinear systems.- Computer simulation of Levy ?-stable variables and processes.- From quantum physics to probability theory and back.- Stochastic approach to many bosons physics.- Ionization of Rydberg atoms in a low frequency field: Modelling by maps of transition to chaotic behavior.- Periodic perturbations of chaotic dynamics.- p-adic stochastics with applications to the Einstein-Podolsky-Rosen Paradox.- Quantum chaos: double resonance model and its physical applications.- Asymptotic behavior of generalized Levy walks.- Stochastic Moore loop space.- Relativistic chaos in time-driven linear and nonlinear oscillators.- Applications of quantum characteristic exponents.- Asymptotic properties of the Fokker-Planck equation.- Spacetime distortion as a reason for quantum stochasticity.- Divergences of the semiclassical S-matrix beyond hyperbolic systems.- Disturbance propagation in coupled map lattices.- Levy-Stable and extreme value distributions in modelling of dynamical phenomena in complex physical systems.- Wigner or non-wigner: That is the question.- Random matrices of circular symplectic ensemble.