Stochastic processes, mathematics and physics : proceedings of the 1st BiBoS-Symposium, held in Bielefeld, West Germany, September 10-15, 1984

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Stochastic processes, mathematics and physics : proceedings of the 1st BiBoS-Symposium, held in Bielefeld, West Germany, September 10-15, 1984

edited by S. Albeverio, Ph. Blachard and L. Streit

（Lecture notes in mathematics, 1158）

Springer-Verlag, c1986

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Table of Contents

  • Stochastic lie group-valued measures and their relations to stochastic curve integrals, gauge fields and markov cosurfaces.- Existence and sample path properties of the diffusions in Nelson's stochastic mechanics.- Characteristic exponents for stochastic flows.- Electric field and effective dielectric constant in random media with non-linear response.- Remarks on the central limit theorem for weakly dependent random variables.- Time reversal on Wiener space.- Lattice gauge theory
  • Heuristics and convergence.- The generalized Malliavin calculus based on Brownian sheet and Bismut's expansion for large deviation.- An elementary approach to Brownian motion on manifolds.- The stochastic mechanics of the ground-state of the hydrogen atom.- Nonstandard analysis and perturbations of the laplacian along Brownian paths.- Haussdorf dimension for the statistical equilibrium of stochastics flows.- Stopping problems of symmetric Markov processes and non-linear variational inequalites.- Mean exit times and hitting probabilities of Brownian motion in geodesic balls and tubular neighborhoods.- Rigorous scaling laws for Dyson measures.- Asymptotic freedom: A rigorous approach.- The fermion stochastic calculus I.

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