Mathematics – Probability
Scientific paper
2007-10-12
Mathematics
Probability
Scientific paper
The paper studies stochastic integration with respect to Gaussian processes and fields. It is more convenient to work with a field than a process: by definition, a field is a collection of stochastic integrals for a class of deterministic integrands. The problem is then to extend the definition to random integrands. An orthogonal decomposition of the chaos space of the random field, combined with the Wick product, leads to the \Ito-Skorokhod integral, and provides an efficient tool to study the integral, both analytically and numerically. For a Gaussian process, a natural definition of the integral follows from a canonical correspondence between random processes and a special class of random fields. Some examples of the corresponding stochastic differential equations are also considered.
Lototsky Sergey V.
Stemmann K.
No associations
LandOfFree
Stochastic Integrals and Evolution Equations with Gaussian Random Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stochastic Integrals and Evolution Equations with Gaussian Random Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic Integrals and Evolution Equations with Gaussian Random Fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-404016