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Ollivier-Ricci curvature for causal sets
06a0749q2253c50differential-geometrygeneral-relativity-and-quantum-cosmologymathematical-physicsmetric-geometry
We introduce a novel notion of Ollivier-Ricci curvature for causal sets using Lorentzian optimal transport. The construction is motivated by a new Lorentzian asymptotic formula of independent interest, which recovers timelike Ricci curvature, up to higher-order terms, from the transport distance bet
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