Arnaudon, MarcLi, Xue-MeiPetko, Benedikt2025-07-252025-07-252025-07-242025-07-0810.1090/tran/9482https://infoscience.epfl.ch/handle/20.500.14299/252498WOS:001529577500001We show that the generalized Ricci tensor of a weighted complete Riemannian manifold can be retrieved asymptotically from a scaled metric derivative of Wasserstein 1-distances between normalized weighted local volume measures. As an application, we demonstrate that the limiting coarse curvature of random geometric graphs sampled from Poisson point process with non-uniform intensity converges to the generalized Ricci tensor.EnglishMETRIC-MEASURE-SPACESMASS TRANSPORTATIONINEQUALITYDISTANCEGEOMETRYBOUNDSScience & TechnologyPhysical Sciencestext::journal::journal article::research article