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

Probability 2014-03-05 v1

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.

Keywords

Cite

@article{arxiv.1403.0872,
  title  = {On small time asymptotics for rough differential equations driven by fractional Brownian motions},
  author = {Fabrice Baudoin and Cheng Ouyang},
  journal= {arXiv preprint arXiv:1403.0872},
  year   = {2014}
}

Comments

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