Conditional Backward Propagation of Chaos
Probability
2022-09-29 v1
Abstract
In this paper, we first investigate the well-posedness of a backward stochastic differential equation where the driver depends on the law of the solution conditioned to a common noise. Under standard assumptions, we show that existence and uniqueness, as well as integrability results, still hold. We also study the associated interacting particles system, for which we prove propagation of chaos, with quantitative estimates on the rate of convergence in Wasserstein distance.
Cite
@article{arxiv.2209.13941,
title = {Conditional Backward Propagation of Chaos},
author = {Remi Moreau},
journal= {arXiv preprint arXiv:2209.13941},
year = {2022}
}