Timelike ideal boundary of non-positively curved Lorentzian spaces
Saúl Burgos, Mauricio Che, Miguel Prados-Abad
arXiv:2606.02496, 2026
Publications
You can also find my articles on Google Scholar and my most recent preprints on arXiv.
Preprints
Convergence of timed-metric spaces and causality
Mauricio Che, Raquel Perales
arXiv:2604.22362, 2026
Metric pairs and tuples in theory and applications
Andrés Ahumada Gómez, Mauricio Che, Manuel Cuerno
arXiv:2505.12735, 2026
A Splitting Theorem for non-positively curved Lorentzian spaces
Joe Barton, Tobias Beran, Mauricio Che, Sebastian Gieger, Jona Röhrig, Felix Rott
arXiv:2601.14058, 2026
Optimal partial transport for metric pairs
Mauricio Che
arXiv:2406.17674, 2025
Journal Articles
Gromov’s Compactness Theorem for the Intrinsic Timed-Hausdorff distance
Mauricio Che, Raquel Perales, Christina Sormani
Published in Differential Geometry and its Applications 103, 2026
Isometric Rigidity of Metric Constructions with respect to Wasserstein Spaces
Mauricio Che, Fernando Galaz-Garcia, Martin Kerin, Jaime Santos-Rodriguez
Published in Journal of Functional Analysis 290(11), 2026
Metric Geometry of Spaces of Persistence Diagrams
Mauricio Che, Fernando Galaz-García, Luis Guijarro, Ingrid Amaranta Membrillo Solis
Published in Journal of Applied and Computational Topology 8, 2024
Basic Metric Geometry of the Bottleneck Distance
Mauricio Che, Fernando Galaz-García, Luis Guijarro, Ingrid Amaranta Membrillo Solis, Motiejus Valiunas
Published in Proceedings of the AMS 152(8), 2024
Gromov-Hausdorff convergence of metric pairs and metric tuples
Andrés Ahumada Gómez, Mauricio Che
Published in Differential Geometry and its Applications 94, 2024
Ball covering property and number of ends of CD spaces with non-negative curvature outside a compact set
Mauricio Che, Jesús Núñez-Zimbrón
Published in Archiv der Mathematik 119, 2022
Conference Papers
FEVER-OOD: Free Energy Vulnerability Elimination for Robust Out-of-Distribution Detection
Brian K. S. Isaac-Medina, Mauricio Che, Yona F. A. Gaus, Samet Akcay, Toby P. Breckon
In: Proceedings of the IEEE/CVF International Conference on Computer Vision (ICCV), 2025
Thesis
Geometry of generalised spaces of persistence diagrams and optimal partial transport for metric pairs
Mauricio Che
PhD thesis, Durham University, 2024