Ebook: Stochastic Processes — Mathematics and Physics: Proceedings of the 1st BiBoS-Symposium held in Bielefeld, West Germany, September 10–15, 1984

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Content:
Front Matter....Pages -
Stochastic lie group-valued measures and their relations to stochastic curve integrals, gauge fields and markov cosurfaces....Pages 1-24
Existence and sample path properties of the diffusions in Nelson's stochastic mechanics....Pages 25-51
Characteristic exponents for stochastic flows....Pages 52-80
Electric field and effective dielectric constant in random media with non-linear response....Pages 81-103
Remarks on the central limit theorem for weakly dependent random variables....Pages 104-118
Time reversal on Wiener space....Pages 119-129
Lattice gauge theory; Heuristics and convergence....Pages 130-140
The generalized Malliavin calculus based on Brownian sheet and Bismut's expansion for large deviation....Pages 141-157
An elementary approach to Brownian motion on manifolds....Pages 158-167
The stochastic mechanics of the ground-state of the hydrogen atom....Pages 168-179
Nonstandard analysis and perturbations of the laplacian along Brownian paths....Pages 180-200
Haussdorf dimension for the statistical equilibrium of stochastics flows....Pages 201-207
Stopping problems of symmetric Markov processes and non-linear variational inequalites....Pages 208-215
Mean exit times and hitting probabilities of Brownian motion in geodesic balls and tubular neighborhoods....Pages 216-223
Rigorous scaling laws for Dyson measures....Pages 224-233
Asymptotic freedom: A rigorous approach....Pages 234-244
The fermion stochastic calculus I....Pages 245-257

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Content:
Front Matter....Pages -
Stochastic lie group-valued measures and their relations to stochastic curve integrals, gauge fields and markov cosurfaces....Pages 1-24
Existence and sample path properties of the diffusions in Nelson's stochastic mechanics....Pages 25-51
Characteristic exponents for stochastic flows....Pages 52-80
Electric field and effective dielectric constant in random media with non-linear response....Pages 81-103
Remarks on the central limit theorem for weakly dependent random variables....Pages 104-118
Time reversal on Wiener space....Pages 119-129
Lattice gauge theory; Heuristics and convergence....Pages 130-140
The generalized Malliavin calculus based on Brownian sheet and Bismut's expansion for large deviation....Pages 141-157
An elementary approach to Brownian motion on manifolds....Pages 158-167
The stochastic mechanics of the ground-state of the hydrogen atom....Pages 168-179
Nonstandard analysis and perturbations of the laplacian along Brownian paths....Pages 180-200
Haussdorf dimension for the statistical equilibrium of stochastics flows....Pages 201-207
Stopping problems of symmetric Markov processes and non-linear variational inequalites....Pages 208-215
Mean exit times and hitting probabilities of Brownian motion in geodesic balls and tubular neighborhoods....Pages 216-223
Rigorous scaling laws for Dyson measures....Pages 224-233
Asymptotic freedom: A rigorous approach....Pages 234-244
The fermion stochastic calculus I....Pages 245-257
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