## Trends and developments in the eighties: Bielefeld Encounters in Mathematics and Physics IV and V |

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### Contents

G CASATI Quantum Dynamics of Classical Stochastic Systems | 107 |

J P DIAS Time Decay for the Solutions of Some Nonlinear | 130 |

G GALLAVOTTI F NIC0L0 The Screening Phase Transitions | 156 |

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10 other sections not shown

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absolutely continuous algebra analytic Anderson localization assume asymptotic behaviour bounded C*-algebras Casati Cauchy problem classical cohomology compact computation condition consider continuous spectrum converge corresponding covariance cyclic cocycles cyclic cohomology defined denote density differential diffusion dimension dimensional dynamical eigenfunctions eigenvalues energy equivalent ergodic Euclidean Euler example existence exponential finite Fourier function gauge given global Hamiltonian Hence infinite instability integrable invariant Jacobi matrix Klein-Gordon equation lattice Lebesgue measure Lemma Lett linear localized Lorentz Math mathematical matrix motion multiple well problem nonlinear orbits particle periodic perturbation phase space Phys physical potential Preprint proof properties Proposition prove quantum field theory quantum mechanics relativistic renormalization resonances result rotator scalar Schrbdinger operators Section sequence solution space-time stability stochastic fields structure Theorem tight binding model tion transformation transition trivial ultraviolet cutoff unitary representation vector vortex wave zero