A Look at Entropic Ricci Curvature on Weighted Graphs

Supanat Kamtue (Chulalongkorn University) https://simons.berkeley.edu/talks/supanat-kamtue-chulalongkorn-university-2026-09-23 Local to Global Principles Entropic Ricci curvature, introduced by Erbar and Maas, provides a discrete analogue of Ricci curvature through displacement convexity of relative entropy in Wasserstein space. In this talk, we introduce the notion, emphasizing its local characterization through infinitesimal variations of entropy. We then discuss curvature estimates for concrete graph families. In particular, we present recent improvements for cycles and abelian Cayley graphs, obtaining sharper bounds.