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.
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ISBN-13
978-3-0348-8020-6 (9783034880206)
DOI
10.1007/978-3-0348-8020-6
Schweitzer Klassifikation
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.
