We develop a definition of Ricci curvature on directed hypergraphs and explore the consequences of that definition. The definition generalizes Ollivier's definition for graphs. It involves a carefully designed optimal transport problem between sets of vertices.
@article{arxiv.1907.04727,
title = {Ollivier Ricci Curvature of Directed Hypergraphs},
author = {Marzieh Eidi and Jürgen Jost},
journal= {arXiv preprint arXiv:1907.04727},
year = {2019}
}