Defines Ollivier-Ricci curvature for causal sets using Lorentzian optimal transport, proves local-to-global and Bonnet-Myers results, and validates numerically on sprinkled constant-curvature spacetimes.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Defines timelike ideal boundary for non-positively curved Lorentzian length spaces, proves upper curvature bounds on the resulting space, and relates it to generalized cones.
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Ollivier-Ricci Curvature for Causal Sets
Defines Ollivier-Ricci curvature for causal sets using Lorentzian optimal transport, proves local-to-global and Bonnet-Myers results, and validates numerically on sprinkled constant-curvature spacetimes.
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Timelike ideal boundary of non-positively curved Lorentzian spaces
Defines timelike ideal boundary for non-positively curved Lorentzian length spaces, proves upper curvature bounds on the resulting space, and relates it to generalized cones.