Stochastic Analysis 2010

Dr. Dan Crisan is a Reader in Mathematics at Imperial College London, whose expertise area lies in Stochastic Analysis with applications in Engineering and Finance. His main area of research is stochastic filtering theory, a topic which deals with the estimation of partially observed signals. Some of the many applications of stochastic filtering are signal processing, satellite tracking, global positioning systems, spell checkers, weather forecasting, EEG/ECG analysis and computer vision. In 2009 Springer published his book Fundamentals of Stochastic Filtering. Dr. Crisan is member of the editorial board of the Journal of Mathematics and Computation. He is also actively involved in teaching. Among numerous other courses, he has taught stochastic filtering, numerical Stochastics, and measure-valued processes at Imperial College; applied probability, and stochastic calculus and applications at Cambridge University.

• D.Crisan: Introduction to the Volume.- V. Bally and E. Clément: Integration by Parts Formula with Respect to Jump Times for Stochastic Differential Equations.- V. Ortiz-López and M. Sanz-Solé: A Laplace Principle for a Stochastic Wave Equation in Spatial Dimension Three.- X.-M. Li: Intertwinned Diffusions Operators by Examples.- L. G. Gyurkó and T. Lyons: Effcient and practical implementations of Cubature on Wiener space.- T. Kurtz: Equivalence of Stochastic Equations and Martingale Problems.- I. Gyöngy and N.V. Krylov: Accelerated Numerical Schemes for PDEs and SPDEs.- A. Papavasilio: Coarse-Grained Modeling of Multiscale Diffusions: The p-variation Estimates.- V.N. Stanciulescu and M.V. Tretyakov: Numerical Solution of the Dirichlet Problem for Linear Parabolic SPDEs Based on Averaging over Characteristics.- S. Davie: Individual Path Uniqueness of Solutions of Stochastic differential equations.- V. Kolokoltsov: Stochastic Integrals and SDE Driven by Nonlinear Levy Noise.- R. Tunaru: Discrete Algorithms for Multivariate Financial Calculus.- D. Brody, L. Hughston and A. Macrina: Credit Risk, Market Sentiment, and Randomly-Timed Default.- M. Kelbert and Y. Suhov: Continuity of mutual entropy in the limiting signal-to-noise ratio regimes.