Stochastic Processes and Related Topics

Abstract

Backward Stochastic Differential Equations and Viscosity Solutions of Semi-Linear Parabolic Deterministic and Stochastic PDE of Second Order. Isolated Singular Points of Stochastic Differential Equations. On One-Dimensional Stochastic Equations Driven by Symmetric Stable Processes. Integral Functionals of Strong Markov Continuous Local Martingales. Approximation of Stochastic Integrals. Minimal Distance Martingale Measures and Optimal Portfolios Consistent with Observed Market Prices. On Generalized x-Diffusions. Portfolio Optimizations with Transaction Costs and Exponential Utility. A Semi-martingale Backward Equation Related to the p-Optimal Martingale Measure and the Lower Price of a Contingent Claim. Subordinators Related to the Exponential Functionals of Brownian Bridges and Explicit Formulae for the Semigroups of Hyperbolic Brownian Motions. First Passage Time Structural Models with Interest Rate Risk. Pricing Options for Markovian Models. Three Intertwined Brownian Topics: Exponential Functionals, Winding Numbers, and Ray-Knight Theorems on Local Times.