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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3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
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.
Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.
citing papers explorer
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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.
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$C^0$-inextendibility of a class of warped-product black hole spacetimes
Adapts Sbierski's proof to establish future C^0-inextendibility for warped-product black hole spacetimes with closed, connected, homogeneous, orientable fibres, including nonvacuum cases and multiple horizons.