Chaos - The Interplay Between Stochastic and Deterministic Behaviour

Stochastic processes from deterministic dynamics....Pages 1-19
The interplay of classical and quantum stochastics: Diffusion, measurement and filtering....Pages 21-40
Event enhanced and piecewise deterministic quantum theory or the right jump at the right place....Pages 41-50
Wave mechanics: The interplay between stochastics and quanta....Pages 51-73
Lévy processes and relativistic quantum dynamics....Pages 75-86
Quantum coherence and decoherence in a classically chaotic experimentally accessible quantum optical system....Pages 87-100
Anomalous diffusion, spontaneous localizations and the correspondence principle....Pages 101-119
Quantum open systems as random classical dynamical systems....Pages 121-134
Large-Scale Structure of the Universe and Asymptotics of Burgers\' Turbulence with Heavy-tailed Dependent Data Yiming Hue and....Pages 135-149
Convergence of iterative methods in perturbation theory....Pages 151-159
Eigenfunction expansions for time dependent hamiltonians....Pages 161-168
Strange attractors in higher-dimensional phase space....Pages 169-177
Mathematical classification of complete chaos....Pages 179-182
Anomalous diffusion and Lévy statistics in intermittent chaotic systems....Pages 183-210
Classical and quantum chaotic scattering....Pages 211-234
From fractals to stochastic differential equations....Pages 235-255
Dissipative structures and weak turbulence....Pages 257-272
Entropy and quantum characteristic exponents. steps towards a quantum pesin theory....Pages 273-282
Rigorous numerics of chaotic dynamical systems....Pages 283-296
The effect of symmetry breaking on random walks and brownian motion....Pages 297-303
Quantum dynamical entropy....Pages 305-312
Strange attractors in nonlinear oscillators....Pages 313-330
Wave packet propagation, nonlinear dynamics, and constructing Chaotic Eigenstates....Pages 331-353
Chaotic dynamics of weakly nonlinear systems....Pages 355-377
Computer simulation of Lévy α-stable variables and processes....Pages 379-392
From quantum physics to probability theory and back....Pages 393-431
Stochastic approach to many bosons physics....Pages 433-444
Ionization of Rydberg atoms in a low frequency field: Modelling by maps of transition to chaotic behavior....Pages 445-450
Periodic perturbations of chaotic dynamics....Pages 451-456
 p -adic stochastics with applications to the Einstein-Podolsky-Rosen Paradox....Pages 457-460
Quantum chaos: double resonance model and its physical applications....Pages 461-469
Asymptotic behavior of generalized Levy walks....Pages 471-477
Stochastic Moore loop space....Pages 479-501
Relativistic chaos in time-driven linear and nonlinear oscillators....Pages 503-506
Applications of quantum characteristic exponents....Pages 507-516
Asymptotic properties of the Fokker-Planck equation....Pages 517-521
Spacetime distortion as a reason for quantum stochasticity....Pages 523-530
Divergences of the semiclassical S-matrix beyond hyperbolic systems....Pages 531-535
Disturbance propagation in coupled map lattices....Pages 537-543
Lévy-Stable and extreme value distributions in modelling of dynamical phenomena in complex physical systems....Pages 545-558
Wigner or non-wigner: That is the question....Pages 559-564
Random matrices of circular symplectic ensemble....Pages 565-571