Offers a range of applications of stochastic analysis in fields such as statistical mechanics, hydrodynamics, Yang-Mills theory and spin-glass theory. This title describes the proper concept of stochastic dynamics relevant to each type of application.

Stochastic Parallel Transport on the d-Dimensional Torus (A B Cruzeiro & P Malliavin); Riemannian Geometry of Diff(S1)/S1 Revisited (M Gordina); Ergodic Theory of SDEs with Degenerate Noise (A Kupiainen); Dynkin's Isomorphism without Symmetry (Y Le Jan); Large Deviations for the Two-Dimensional Yang-Mills Measure (T Levy); Laplace Operator in Networks of Thin Fibers: Spectrum Near the Threshold (S Molchanov & B Vainberg); Adiabatic Limits and Quantum Decoherence (R Rebolledo & D Spehner); Gauge Theory in Two Dimensions: Topological, Geometric and Probabilistic Aspects (A N Sengupta); Near Extinction of Solution Caused by Strong Absorption on a Fine-Grained Set (V V Yurinsky & A L Piatnitski).