Over the last years, stochastic analysis has had an enormous progress with the impetus originating from different branches of mathematics: PDE's and the Malliavin calculus, quantum physics, path space analysis on curved manifolds via probabilistic methods, and more.

The topics include stochastic control theory, generalized functions in a nonlinear setting, tangent spaces of manifold-valued paths with quasi-invariant measures, and applications in game theory, theoretical biology and theoretical physics.

Represents an enormous cross fertilization among disciplines Selection of articles from most prominent specialists in the field

Inhalt
Stochastic Control and Games Under Arbitrarily Dependent Noises.- Stochastic Games with Risk Sensitive Payoffs for N Players.- An Overall View of Stochastics in Colombeau Related Algebras.- On Metrics for Tangent Processes on the Path Space.- Weak Approximation for Semilinear Stochastic Evolution Equations.- Exponential Type Decrease of the Density for Jump Processes with Singular Levy Measures in Small Time.- Controllability and Observability of Linear Stochastic Systems in Hilbert Spaces.- Exact Computation of Spectral Densities for a Langevin Dynamic Modelling the Relaxation of a Protein near its Equilibrium.- Quasi-invariance for Lévy Processes under Anticipating Shifts.- Gaussian Measure of the Intersection of Two Absolutely Convex Sets.