English

Varadhan Estimates for rough differential equations driven by fractional Brownian motions

Probability 2013-04-30 v1

Abstract

In this work we study rough differential equations driven by a fractional Brownian motion with Hurst parameter H>1/4 and establish Varadhan's small time estimates for the density of solutions of such equations under Hormander's type conditions.

Keywords

Cite

@article{arxiv.1304.7376,
  title  = {Varadhan Estimates for rough differential equations driven by fractional Brownian motions},
  author = {Fabrice Baudoin and Cheng Ouyang and Xuejing Zhang},
  journal= {arXiv preprint arXiv:1304.7376},
  year   = {2013}
}