Beschreibung
InhaltsangabeStochastic Analysis and Random Fields.- Gaussian random fields on manifolds.- Higher order expansions for the overlap of the SK model.- Poissonian exponential functionalsq-seriesq-integrals, and the moment problem for log-normal distributions.- A Littlewood-Paley type inequality on the path space.- Condition numbers and extrema of random fields.- Second-order hyperbolic S.P.D.E.'s driven by boundary noises.- Stochastic heat and Burgers equations and the intermittence of turbulence.- Averaging of a parabolic partial differential equation with random evolution.- Random currents and probabilistic models of vortex filaments.- Stochastic resonance: a comparative study of two-state models.- Sample Hölder continuity of stochastic processes and majorizing measures.- Hypoelliptic diffusions and cyclic cohomology.- Isovectors for the Hamilton-Jacobi-Bellman equation,formal stochastic differentials and first integrals in Euclidean quantum mechanics.- Stochastic Methods in Financial Models.- Superhedging strategies and balayage in discrete time.- Generalized hyperbolic and inverse Gaussian distributions: limiting cases and approximation of processes.- Stochastic volatility and correction to the heat equation.- Bayesian estimate of default probabilities via MCMC with delayed rejection.- Optimal portfolio in a multiple-priors model.- Indifference pricing with exponential utility.
Inhaltsverzeichnis
Preface.- List of Participants.- Acknowledgements.- I. Stochastic Analysis and Random Fields.- II. Stochastic Methods in Financial Models.
