English

Bismut formulae and applications for stochastic (functional) differential equations driven by fractional Brownian motions

Probability 2014-07-29 v2

Abstract

By using Malliavin calculus, Bismut derivative formulae are established for a class of stochastic (functional) differential equations driven by fractional Brownian motions. As applications, Harnack type inequalities and strong Feller property are presented.

Keywords

Cite

@article{arxiv.1308.5309,
  title  = {Bismut formulae and applications for stochastic (functional) differential equations driven by fractional Brownian motions},
  author = {Xiliang Fan},
  journal= {arXiv preprint arXiv:1308.5309},
  year   = {2014}
}