Papers from a workshop held at the University of Edinburgh in March 1994.

Includes bibliographical references.

Stochastic differential equations with boundary conditions and the change of measure method / Aureli Alabert -- The Martin boundary of the Brownian sheet / Oliver Brockhaus -- Neocompact sets and stochastic Navier-Stokes equations / Nigel Cutland and H. Jerome Keisler -- Numerical experiments with S(P)DE""s / J.G. Gaines -- Contour processes of random trees / J.J. Geiger -- On a class of quasilinear stochastic differential equations of parabolic type: regular dependence of solutions on initial data / N. Yu. Goncharuk -- Fluctuations of a two-level critical branching system / Luis G. Gorostiza -- Non-persistence of two-level branching particle systems in low dimensions / Kenneth J. Hochberg and Anton Wakolbinger -- The Stochastic Wick-type Burgers equation / H. Holden ... [et al.] -- A Weak interaction epidemic among diffusing particles / Ingemar Kaj -- Noise and dynamic transitions / G.D. Lythe -- Backward stochastic differential equations and quasilinear partial differential equations / Xuerong Mao -- Path integrals and finite dimensional filters / Steve Maybank -- A Skew product representation for the generator of a two sex population model / Joachim Rebholz -- A Nonlinear hyperbolic SPDE: approximations and support / C. Rovira and M. Sanz-Solâe -- Statistical dynamics with thermal noise / R.F. Streater -- Stochastic Hamilton-Jacobi equations / A. Truman and H. Zhao -- On backward filtering equations for SDE systems (direct approach) / A.Y. Veretennikov -- Ergodicity of Markov semigroups / B. Zegarlins .