Paper Citation Record · LEDGER

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem

As of 14 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2511.05227.

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2511.05227 v3

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measured 30 of 30 reference resolution

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30 of 30 outbound references displayed

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Outbound references

Observation 962eba9f-a0fc-427c-9a0e-5e21c6b4b3a5 · outbound

This paper cites A user’s guide to optimal transport.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem A user’s guide to optimal transport

Reference 1

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Observation f9f0dadf-faad-4958-868d-1ffd33d2f981 · outbound

This paper cites Lectures in Mathematics ETH Z¨ urich.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Lectures in Mathematics ETH Z¨ urich

Reference 2

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Observation b9344cd6-b3e9-47ca-9833-92e6d79b4de6 · outbound

This paper cites Routledge, London, England, 2017.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Routledge, London, England, 2017

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:28.944809Z

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Observation 5a2a3ba4-ded0-4062-8f8d-e8a11961dab9 · outbound

This paper cites Existence ofC 1,1 critical sub-solutions of the Hamilton- Jacobi equation on compact manifolds.Ann.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Existence ofC 1,1 critical sub-solutions of the Hamilton- Jacobi equation on compact manifolds.Ann

Reference 4

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Observation 7e215295-89ca-4621-a9f9-24fac99ab511 · outbound

This paper cites Brenier, U.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Brenier, U

Reference 5

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Observation 920b0756-6ce6-4ba2-9ab6-e42ee18b74c7 · outbound

This paper cites Singularities of solu- tions of time dependent Hamilton-Jacobi equations.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Singularities of solu- tions of time dependent Hamilton-Jacobi equations

Reference 6

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Observation 3c5f700a-7387-46fe-810d-a62db9ad8b7b · outbound

This paper cites Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and ap- plications.Camb.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and ap- plications.Camb

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:29.486822Z

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Observation 8c487d18-1a87-42ad-8a8b-b3e2f8502763 · outbound

This paper cites On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces.Invent.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces.Invent

Reference 8

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Observation 0e83ae62-67e8-421b-8795-1bc5ef08ff1b · outbound

This paper cites Cambridge University Press, Cambridge, England, 2020.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Cambridge University Press, Cambridge, England, 2020

Reference 9

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Observation 47b28a73-7da1-4859-b2ab-a7efed6a19a0 · outbound

This paper cites Viscosity solutions of the Hamilton-Jacobi equation on a noncompact manifold.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Viscosity solutions of the Hamilton-Jacobi equation on a noncompact manifold

Reference 10

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Observation 54fb1d01-dbec-4621-8fc8-e2a5712f3a3b · outbound

This paper cites Optimal transportation on non-compact manifolds.Israel J.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Optimal transportation on non-compact manifolds.Israel J

Reference 11

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Observation bbeb6714-cda0-4a9d-a9c7-4f02d004254f · outbound

This paper cites On the Hausdorff di- mension of the Mather quotient.Comm.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem On the Hausdorff di- mension of the Mather quotient.Comm

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:29.907956Z

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Observation 265e98f6-09c4-4d60-998b-0d25000c0cbd · outbound

This paper cites Local semiconvexity of Kantorovich po- tentials on non-compact manifolds.ESAIM Control Optim.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Local semiconvexity of Kantorovich po- tentials on non-compact manifolds.ESAIM Control Optim

Reference 13

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Observation c2da6a04-9ad0-490f-b018-a82b6cef5f4d · outbound

This paper cites EMS Textbooks in Mathemat- ics.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem EMS Textbooks in Mathemat- ics

Reference 14

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Observation 7a60be9b-0ba2-4222-92c8-f5c6b406065a · outbound

This paper cites A reconstruction of the initial conditions of the universe by optimal mass transportation.Nature, 417:260–2, 06 2002.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem A reconstruction of the initial conditions of the universe by optimal mass transportation.Nature, 417:260–2, 06 2002

Reference 15

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Observation aa763dce-940b-4dd2-bc02-081ad0b5209f · outbound

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Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Unresolved cited work

Reference 16

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Observation 7f60c43c-3de3-496d-b428-12a3073f6d95 · outbound

This paper cites On the existence of dual solutions for Lo- rentzian cost functions.Ann.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem On the existence of dual solutions for Lo- rentzian cost functions.Ann

Reference 17

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Observation b2868cad-9a4f-45b1-a575-6fd2e4499a03 · outbound

This paper cites Lorentzian length spaces.Ann.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Lorentzian length spaces.Ann

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:30.045250Z

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Observation 8dd036dd-3ef8-405a-9127-fbed4f3dbedc · outbound

This paper cites Ricci curvature for metric-measure spaces via optimal transport.Ann.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Ricci curvature for metric-measure spaces via optimal transport.Ann

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:30.048633Z

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Observation 45fc7ba7-2388-43f4-8065-6c089f34e5ce · outbound

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Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Unresolved cited work

Reference 20

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Observation 67983f3a-5d3e-461a-bc79-8503446f814b · outbound

This paper cites $C_{loc}^{1,1}$ optimal pairs in the dual optimal transport problem for a Lorentzian cost along displacement interpolations.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem $C_{loc}^{1,1}$ optimal pairs in the dual optimal transport problem for a Lorentzian cost along displacement interpolations

Reference 21

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Observation 04173b34-c55b-4d02-89d1-6d588e23c833 · outbound

This paper cites On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem On the locus of multiple maximizing geodesics on a globally hyperbolic spacetime

Reference 22

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Observation a1236a33-edc6-4b8e-b526-743db432d208 · outbound

This paper cites Optimal transport and regularity of weak Kantorovich potentials on a globally hyperbolic spacetime.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Optimal transport and regularity of weak Kantorovich potentials on a globally hyperbolic spacetime

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:30.060813Z

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Observation 1c48eb92-9dad-4440-8791-18c60661cdd4 · outbound

This paper cites Lorentzian causality theory.Living Reviews in Relativity, 22:1–202, 2019.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Lorentzian causality theory.Living Reviews in Relativity, 22:1–202, 2019

Reference 24

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Observation 9b4e6645-84b6-415b-be1b-487c8c7ed506 · outbound

This paper cites An optimal transport formulation of the Einstein equations of general relativity.J.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem An optimal transport formulation of the Einstein equations of general relativity.J

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:30.066408Z

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Observation d1558ec9-3e01-4ec2-9ada-ca8affd6addd · outbound

This paper cites Academic Press, San Diego, CA, USA, 1983.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Academic Press, San Diego, CA, USA, 1983

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:30.068881Z

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Observation 90bba11b-a6cb-47b2-ad01-42ed5aea5b34 · outbound

This paper cites On the geometry of metric measure spaces.Acta Mathematica, 196(1):65 – 131, 2006.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem On the geometry of metric measure spaces.Acta Mathematica, 196(1):65 – 131, 2006

Reference 27

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Observation 881463ba-c714-495e-970b-72f10244df1d · outbound

This paper cites On the geometry of metric measure spaces.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem On the geometry of metric measure spaces

Reference 28

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Observation cc4e6e66-0451-4b7d-8011-21efec859375 · outbound

This paper cites Theory of optimal transport for Lorentzian cost functions.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Theory of optimal transport for Lorentzian cost functions

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:30.077671Z

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Observation 7a306783-9a3b-401d-a26b-d8af8f3f8de0 · outbound

This paper cites Springer, Berlin, 2009 edition, 2008.

Semiconvexity of (weak) Kantorovich potentials in the Lorentzian optimal transport problem Springer, Berlin, 2009 edition, 2008

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T23:36:30.080719Z

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