Abstract
The previous chapter considered in detail an example driven by a Brownian sheet, namely a stochastic reaction–diffusion equation. In this chapter we consider an application of one of the other formulations of infinite dimensional Brownian motion, which is the infinite sequence of independent one-dimensional Brownian motions. Such a collection will be used to define a general class of Brownian flows of diffeomorphisms [178], which are a special case of the stochastic flows of diffeomorphisms studied in [16, 25, 124, 178]. We will consider small noise asymptotics, prove the corresponding LDP, and then use it to give a Bayesian interpretation of an estimator used for image matching.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
