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

Random fields with values in Lie groups and Higgs fields....Pages 1-13 Stochastic processes and continual measurements in quantum mechanics....Pages 14-23 Stability and chaotic behavior of quantum rotators....Pages 24-38 Regular and chaotic motions near resonances in quasi-integrable Hamiltonian systems....Pages 39-46 Fluctuations in numbers of energy levels....Pages 47-53 A Poincaré-Birkhoff-type result in higher dimensions....Pages 54-64 Stochastic jump processes associated with Dirac equation....Pages 65-86 Jump processes in quantum theories....Pages 87-104 Pathwise conservation law for stationary diffusion processes....Pages 105-108 Stochastic variational principle and diffusion processes....Pages 109-117 Spectral fluctuations, random matrix theories and chaotic motion....Pages 118-138 The pathwise description of quantum scattering in stochastic mechanics....Pages 139-147 Integral representation of covariant observables....Pages 148-153 Some remarks on the subsequence principle in probability theory....Pages 154-159 A route to stochastic mechanics....Pages 160-169 Quantum fields on a gravitational background from random fields on Riemannian manifolds....Pages 170-178 Time reversal and smoothing of infinite — dimensional diffusion processes....Pages 179-186 On the motion of an impurity in an infinite harmonic crystal....Pages 187-236 Quantum stochastic integration in certain partial *-algebras....Pages 237-245 A non-renormalizable planar field theory....Pages 246-255 An invariant torus for nearly integrable Hamiltonian systems with infinitely many degrees of freedom....Pages 256-268 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....Pages 269-277 Indeterminacy relations in stochastic mechanics....Pages 278-295 Gibbs states and spontaneous symmetry breakdown....Pages 296-305 Stochastic equations for some Euclidean fields....Pages 306-314 A class of mean-field-like models of disordered systems....Pages 315-328 The grand-canonical surface tension and its convergence to the SOS limit in the two-dimensional Ising model....Pages 329-333 Stochastic quantization....Pages 334-337 On measures of information for continuous stochastic processes....Pages 338-350 Nonstandard energy forms and diffusions on manifolds and fractals....Pages 351-362 Some results on the Euler and Vlasov-Poison flows....Pages 363-380 Dirichlet forms defined by Riemannian flags and applications....Pages 381-385 A rigorous analysis of Anderson localization....Pages 386-396 A finite approximation to boson Fock space....Pages 397-404 An extension of Kotani's theorem to random generalized Sturm-Liouville operators II....Pages 405-410 Path-wise calculus of variations in stochastic mechanics....Pages 411-419 Macroscopic, intermediate, microscopic and mesons....Pages 420-426 Field theory and the future of stochastic mechanics....Pages 427-437 Hamiltonian models for the Madelung fluid and generalized Langevin equations....Pages 438-469 Quantum mechanics with stochastic time dependent potentials....Pages 470-480 Coexistence of attracting and conservative features in reversible dynamical systems....Pages 481-485 Relationship between dynamic, quantum and classical critical phenomena....Pages 486-490 Stable distributions: Fox function representation and generalization....Pages 491-496 The geodesic mappings in Riemannian and pseudo-Riemannian manifolds....Pages 497-511 Variational processes....Pages 512-516 Levels of structure and function in neurobiology....Pages 517-529 Forma matematica e realtà fisica....Pages 533-544 ....Pages 545-550