English

Large deviations for backward stochastic differential equations driven by $G$-Brownian motion

Probability 2020-03-27 v2

Abstract

In this paper, we consider forward-backward stochastic differential equation driven by GG-Brownian motion (GG-FBSDEs in short) with small parameter ε>0\varepsilon > 0. We study the asymptotic behavior of the solution of the backward equation and establish a large deviation principle for the corresponding process.

Keywords

Cite

@article{arxiv.2003.06953,
  title  = {Large deviations for backward stochastic differential equations driven by $G$-Brownian motion},
  author = {Ibrahim Dakaou and Abdoulaye Soumana Hima},
  journal= {arXiv preprint arXiv:2003.06953},
  year   = {2020}
}

Comments

21 pages. This is a pre-print of an article published in Journal of Theoretical Probability. The final authenticated version is available online at: https://doi.org/10.1007/s10959-020-01005-0

R2 v1 2026-06-23T14:15:32.709Z