Small-time kernel expansion for solutions of stochastic differential equations driven by fractional Brownian motions

preprint2010arXivOpen access

Abstract

In this paper we show that under some assumptions, for a dd-dimensional fractional Brownian motion with Hurst parameter H>1/2H>1/2, the density of solution of stochastic differential equation driven by it has a short-time expansion similar to that in the Brownian motion case.

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