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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.