arXiv:math/0509511 [math.PR]AbstractReferencesReviewsResources
Operators associated with stochastic differential equations driven by fractional Brownian motions
Published 2005-09-22Version 1
In this paper, by using a Taylor development type formula, we show how it is possible to associate differential operators with stochastic differential equations driven by a fractional Brownian motion. As an application, we deduce that invariant measures for such SDEs must satisfy an infinite dimensional system of partial differential equations.
Comments: 26 pages
Categories: math.PR
Related articles: Most relevant | Search more
The rate of convergence of Euler approximations for solutions of stochastic differential equations driven by fractional Brownian motion
arXiv:1202.3627 [math.PR] (Published 2012-02-16)
Harnack Inequalities and Applications for Stochastic Differential Equations Driven by Fractional Brownian Motion
arXiv:1104.3884 [math.PR] (Published 2011-04-19)
Upper bounds for the density of solutions of stochastic differential equations driven by fractional Brownian motions