5 papers · 1 filter
Timelike ideal boundary of non-positively curved Lorentzian spaces
Saúl Burgos, Mauricio Che, Miguel Prados-Abad
We introduce the notion of timelike ideal boundary of a Lorentzian length space as the set of asymptotic classes of future or past-directed timelike geodesic rays, a construction c…
Convergence of Timed-Metric Spaces and Causality
Mauricio Che, Raquel Perales
We introduce the notion of timed-Gromov--Hausdorff distance for timed-metric spaces. We prove that this distance is bi-Lipschitz equivalent to the intrinsic timed-Hausdorff distanc…
Gromov's Compactness Theorem for the Intrinsic Timed-Hausdorff Distance
Mauricio Che, Raquel Perales, Christina Sormani
The intrinsic timed-Hausdorff distance between timed-metric spaces, first introduced by Sakovich--Sormani, yields a weak notion of convergence for space-times. In this paper we pro…
Optimal partial transport for metric pairs
Mauricio Che
In this article we study Figalli and Gigli's formulation of optimal transport between non-negative Radon measures in the setting of metric pairs. We carry over classical characteri…
Isometric Rigidity of Metric Constructions with respect to Wasserstein Spaces
Mauricio Che, Fernando Galaz-GarcÃa, Martin Kerin +1
In this paper we study the isometric rigidity of certain classes of metric spaces with respect to the -Wasserstein space. We prove that spaces that split a separable Hilbert spa…