Preface. Infinite Dimensional Diffusions, Markov Fields, Quantum Fields and Stochastic Quantization; S. Albeverio, Y.G. Kondratiev, M. R�ckner. Burgers Equation forced by Conservative or Nonconservative Noise; L. Bertini, N. Cancrini, G. Jona-Lasinio. Statistical Properties of Piecewise Expanding Maps of the Interval; P. Collet. Euclidean Quantum Mechanics. An Outline; A.B. Cruzeiro, J.C. Zambrini. Analysis on Loop Groups; L. Gross. White Noise Analysis and Applications; T. Hida. Computer Stochastics in Scalar Quantum Field Theory; C.B. Lang. Brownian Motion over a Kahler Manifold and Elliptic Genera of Level N; R. L�andre. On Lyapunov Stability Theorems for Stochastic (Deterministic) Evolution Equations; V. Mandrekar. Stochastic Techniques in Condensed Matter Physics; R. Vilela Mendes. Stochastic Partial Differential Equations and Applications to Hydrodynamics; B. �ksendal. White Noise Approach to Parabolic Stochastic Partial Differential Equations; J. Potthoff. Colombeau Generalized Functions and Stochastic Analysis; F. Russo. Constructive Field Theoretic Methods and Stochastic Partial Differential Equations; R. S�n�or. Quantum Yang--Mills Theory on Compact Surfaces; A. Sengupta. Detailed Balance and Free Energy; R.F. Streater. An Introduction to White Noise Analysis; L. Streit. Excursion Measures for One-Dimensional Time-Homogeneous Diffusions with Inaccessible and Accessible Boundaries; A. Truman.

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The intensive exchange between mathematicians and users has led in recent years to a rapid development of stochastic analysis. Of the users, the physicists form perhaps the most important group, giving direction to the mathematicians' research and providing a source of intuition. White noise analysis has emerged as a viable framework for stochastic and infinite dimensional analysis. Another growth area is the theory of stochastic partial differential equations. Gauge field theories are attracting increasing attention. Dirichlet forms provide a fruitful link between the mathematics of Markov processes and the physics of quantum systems. The deterministic--stochastic interface is addressed, as are Euclidean quantum mechanics, excursions of diffusions and the convergence of Markov chains to thermal states.

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