English

Mean-Field SDEs driven by $G$-Brownian Motion

Probability 2025-08-06 v1 Mathematical Finance

Abstract

We extend the notion of mean-field SDEs to SDEs driven by GG-Brownian motion. More precisely, we consider a GG-SDE where the coefficients depend not only on time and the current state but also on the solution as random variable.

Cite

@article{arxiv.2401.09113,
  title  = {Mean-Field SDEs driven by $G$-Brownian Motion},
  author = {Karl-Wilhelm Georg Bollweg and Thilo Meyer-Brandis},
  journal= {arXiv preprint arXiv:2401.09113},
  year   = {2025}
}
R2 v1 2026-06-28T14:19:08.672Z