Trees and asymptotic expansions for fractional stochastic differential equations
In this article, we consider an -dimensional stochastic differential equation driven by a fractional brownian motion with Hurst parameter >1/3. We derive an expansion for [( )] in terms of , where denotes the solution to the SDE and :ℝ→ℝ is a regular function. Comparing to F. Baudoin and L. Coutin, (2007) 550–574, where the same problem is studied, we provide an improvement in three different directions: we are able to consider equations with drift, we parametrize...