Curvilinear Integrals Along Enriched Paths

Abstract

Inspired by the fundamental work of T.J. Lyons, we develop a theory of curvilinear integrals along a new kind of enriched paths in $R^d$. We apply these methods to the fractional Brownian Motion, and prove a support theorem for SDE driven by the Skorohod fBM of Hurst parameter $H > 1/4$.