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Bourne, D · 2018 · DOI 10.1137/17m1134469

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Ollivier-Ricci Curvature for Causal Sets

math.DG · 2026-06-03 · unverdicted · novelty 7.0

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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  • Ollivier-Ricci Curvature for Causal Sets math.DG · 2026-06-03 · unverdicted · none · ref 7

    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.