Seminar on Stochastic Analysis, Random Fields and Applications IV: Centro Stefano Franscini, Ascona, May 2002

ISBN-13: 9783034896306 / Angielski / Miękka / 2012 / 328 str.

Robert Dalang; Marco Dozzi; Francesco Russo

Opis

This volume contains twenty refereed papers presented at the 4th Seminar on Stochastic Processes, Random Fields and Applications, which took place in Ascona, Switzerland, from May 2002. The seminar focused mainly on stochastic partial differential equations, stochastic models in mathematical physics, and financial engineering. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance and insurance.

Spis treści

Stochastic 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.