Stochastic Processes in Classical and Quantum Systems: Proceedings of the 1st Ascona-Como International Conference Held in Ascona, Ticino (Switzerland), June 24–29, 1985

ISBN-13: 9783662135891 / Angielski / Miękka / 2013 / 551 str.

Sergio Albeverio;G. Casati;D. Merlini

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Random fields with values in Lie groups and Higgs fields.- Stochastic processes and continual measurements in quantum mechanics.- Stability and chaotic behavior of quantum rotators.- Regular and chaotic motions near resonances in quasi-integrable Hamiltonian systems.- Fluctuations in numbers of energy levels.- A Poincaré-Birkhoff-type result in higher dimensions.- Stochastic jump processes associated with Dirac equation.- Jump processes in quantum theories.- Pathwise conservation law for stationary diffusion processes.- Stochastic variational principle and diffusion processes.- Spectral fluctuations, random matrix theories and chaotic motion.- The pathwise description of quantum scattering in stochastic mechanics.- Integral representation of covariant observables.- Some remarks on the subsequence principle in probability theory.- A route to stochastic mechanics.- Quantum fields on a gravitational background from random fields on Riemannian manifolds.- Time reversal and smoothing of infinite — dimensional diffusion processes.- On the motion of an impurity in an infinite harmonic crystal.- Quantum stochastic integration in certain partial *-algebras.- A non-renormalizable planar field theory.- An invariant torus for nearly integrable Hamiltonian systems with infinitely many degrees of freedom.- The problem of energy partition in the light of classical perturbation theory and the possibility of introducing a critical action in the classical theory of the electromagnetic field.- On the ? 4 4 -problem.- Indeterminacy relations in stochastic mechanics.- Gibbs states and spontaneous symmetry breakdown.- Stochastic equations for some Euclidean fields.- A class of mean-field-like models of disordered systems.- The grand-canonical surface tension and its convergence to the SOS limit in the two-dimensional Ising model.- Stochastic quantization.- On measures of information for continuous stochastic processes.- Nonstandard energy forms and diffusions on manifolds and fractals.- Some results on the Euler and Vlasov-Poison flows.- Dirichlet forms defined by Riemannian flags and applications.- A rigorous analysis of Anderson localization.- A finite approximation to boson Fock space.- An extension of Kotani's theorem to random generalized Sturm-Liouville operators II.- Path-wise calculus of variations in stochastic mechanics.- Macroscopic, intermediate, microscopic and mesons.- Field theory and the future of stochastic mechanics.- Hamiltonian models for the Madelung fluid and generalized Langevin equations.- Quantum mechanics with stochastic time dependent potentials.- Coexistence of attracting and conservative features in reversible dynamical systems.- Relationship between dynamic, quantum and classical critical phenomena.- Stable distributions: Fox function representation and generalization.- The geodesic mappings in Riemannian and pseudo-Riemannian manifolds.- Variational processes.- Levels of structure and function in neurobiology.- Forma matematica e realtà fisica.