2 papers
math.DG2026
Ollivier-Ricci Curvature for Causal Sets
Joe Barton, Samuël Borza, Jona Röhrig
We introduce a novel notion of Ollivier--Ricci curvature for causal sets using Lorentzian optimal transport. The construction is motivated by a new Lorentzian asymptotic formula of…
math.MG2026
Space of Timelike Directions and Curvature Bounds
Joe Barton, Jona Röhrig
We investigate the consequences of timelike sectional curvature bounds in Lorentzian length spaces for the existence and structure of the space of directions at a point. It is esta…