An outgrowth of an ongoing workshop on stochastic analysis held in Lisbon. The nine survey articles in the volume extend concepts from classical probability and stochastic processes to a number of areas of mathematical physics. Will serve as a good reference text for researchers and advanced students in the fields of probability, stochastic processes, analysis, geometry, mathematical physics, and physics.
Inhaltsverzeichnis
Functorial Analysis in Geometric Probability Theory. - Stochastic Volterra Equations with Singular Kernels. - Stochastic Diffeology and Homotopy. - Some Results on Entropic Projections. - Mehler-Type Semigroups on Hilbert Spaces and Their Generators. - Singular Limiting Behavior in Nonlinear Stochastic Wave Equations. - Complete Positivity and Open Quantum Systems. - Properties of Measure-preserving Shifts on the Wiener Space. - Martingale and Markov Uniqueness of Infinite Dimensional Nelson Diffusions.