paper

On small time asymptotics for rough differential equations driven by fractional Brownian motions

arXiv:1403.0872

Abstract

We survey existing results concerning the study in small times of the density of the solution of a rough differential equation driven by fractional Brownian motions. We also slightly improve existing results and discuss some possible applications to mathematical finance.

This is a survey paper, submitted to proceedings in the memory of Peter Laurence

On small time asymptotics for rough differential equations driven by fractional Brownian motions · wovepaper