Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:35:55.649920Z
Paper Citation Record · LEDGER
Boundary regularity of optimal transport maps on convex domains
As of 10 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 6 inbound Pith citation observations for arXiv:2507.05395.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T23:35:16.248308Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-30T18:14:59.943084Z
Reference resolution
35 of 35 outbound references displayed
- verified exact1
- verified fuzzy20
- unresolved14
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9a8b7974-43d6-4592-9535-fb40007e12c3 · outbound
This paper cites J., Rankin, C.,A geometric approach to apriori estimates for optimal transport maps, J.
Boundary regularity of optimal transport maps on convex domains J., Rankin, C.,A geometric approach to apriori estimates for optimal transport maps, J
Reference 1
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- raw_fallback, observed 2026-08-06T19:35:57.415927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation a193da4a-4ca2-406e-9d64-4f73cc8196ea · outbound
This paper cites Polar factorization and monotone rearrangement of vector-valued functions.
Boundary regularity of optimal transport maps on convex domains Polar factorization and monotone rearrangement of vector-valued functions
Reference 2
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- raw_fallback, observed 2026-08-06T19:35:57.406976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation eea161d3-d3b0-422f-be19-812871e13986 · outbound
This paper cites The regularity of mappings with a convex potential.
Boundary regularity of optimal transport maps on convex domains The regularity of mappings with a convex potential
Reference 3
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- raw_fallback, observed 2026-08-06T19:35:57.397415Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3a5e0e66-63d5-465a-9bb8-b38d62d1119c · outbound
This paper cites Boundary regularity of maps with convex potentials.
Boundary regularity of optimal transport maps on convex domains Boundary regularity of maps with convex potentials
Reference 4
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Observation 615de6e2-74b5-4615-936b-a0ba662874b8 · outbound
This paper cites Boundary regularity of maps with convex potentials.
Boundary regularity of optimal transport maps on convex domains Boundary regularity of maps with convex potentials
Reference 5
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- raw_fallback, observed 2026-08-06T19:35:57.377212Z
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Observation 7a18aab9-944e-4550-94ec-dbb6e0751dc5 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 6
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- raw_fallback, observed 2026-08-06T19:35:57.367891Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e7546a1f-2c86-44b1-8fe2-565332fe17c7 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 7
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- raw_fallback, observed 2026-08-06T19:35:57.358538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d8e13c4c-8cd4-4ff4-b31d-e02595f01683 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 8
- Resolution
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- raw_fallback, observed 2026-08-06T19:35:57.349292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f10c2275-974a-4f08-9a8d-30299d03b2ae · outbound
This paper cites Wang Global regularity for the Monge-Amp` ere equation with natural boundary condition.
Boundary regularity of optimal transport maps on convex domains Wang Global regularity for the Monge-Amp` ere equation with natural boundary condition
Reference 9
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- raw_fallback, observed 2026-08-06T19:35:57.339286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2b747a69-f845-4b61-a256-229301ac9e52 · outbound
This paper cites Pure Appl.
Boundary regularity of optimal transport maps on convex domains Pure Appl
Reference 10
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- raw_fallback, observed 2026-08-06T19:35:57.330079Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e15c18cc-051b-4896-9ef9-959650d5e9c8 · outbound
This paper cites On a general class of Free Boundary Monge-Amp` ere equations, to appear.
Boundary regularity of optimal transport maps on convex domains On a general class of Free Boundary Monge-Amp` ere equations, to appear
Reference 11
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- raw_fallback, observed 2026-08-06T19:35:57.320620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ac64ef0c-2f1d-48f8-a221-9d46c636c2a1 · outbound
This paper cites Complete Calabi-Yau metrics in the complement of two divisors.
Boundary regularity of optimal transport maps on convex domains Complete Calabi-Yau metrics in the complement of two divisors
Reference 12
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- raw_fallback, observed 2026-08-06T19:35:57.310281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4dcd2b70-9384-4b26-b8cb-ebaaf1b8aa33 · outbound
This paper cites A free boundary Monge-Amp\`ere equation and applications to complete Calabi-Yau metrics.
Boundary regularity of optimal transport maps on convex domains A free boundary Monge-Amp\`ere equation and applications to complete Calabi-Yau metrics
Reference 13
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- no resolver link, observed 2026-08-06T19:35:53.697783Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d109244b-9d86-4b7b-9ec7-7d589905512b · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 14
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- raw_fallback, observed 2026-08-06T19:35:57.293706Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8cd77511-e256-4954-b720-0c0382c35414 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 15
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c592b990-43d6-416a-99a3-4fa63fc3f496 · outbound
This paper cites C., Partial differential equations and Monge-Kantorovich mass transfer, Current developments in mathematics, 1997 (Cambridge, MA), 65–126, Int.
Boundary regularity of optimal transport maps on convex domains C., Partial differential equations and Monge-Kantorovich mass transfer, Current developments in mathematics, 1997 (Cambridge, MA), 65–126, Int
Reference 16
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- raw_fallback, observed 2026-08-06T19:35:57.273363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4dcacf6b-e4b7-43f6-94be-992460a9c789 · outbound
This paper cites The Monge-Ampere equation.
Boundary regularity of optimal transport maps on convex domains The Monge-Ampere equation
Reference 17
- Resolution
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- raw_fallback, observed 2026-08-06T19:35:57.263869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 67a5bd56-a7a8-4a7e-9b6c-6a93167b21aa · outbound
This paper cites On the regularity of optimal transports between degenerate densities, Arch.
Boundary regularity of optimal transport maps on convex domains On the regularity of optimal transports between degenerate densities, Arch
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:35:57.254269Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b36dab0d-caff-4068-b311-5611e8d71b04 · outbound
This paper cites Singularities of the solution to a Monge--Amp\`ere equation on the boundary of the 3-simplex.
Boundary regularity of optimal transport maps on convex domains Singularities of the solution to a Monge--Amp\`ere equation on the boundary of the 3-simplex
Reference 19
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- verified exact
- local_arxiv, observed 2026-08-06T19:35:55.859271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation b546447b-fa2c-43fa-a25a-cffd86b86703 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 20
- Resolution
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- raw_fallback, observed 2026-08-06T19:35:57.244186Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8273fa19-785a-41f4-bc9f-a574322f21f8 · outbound
This paper cites Pseudo-Riemannian geometry calibrates optimal transportation, Math.
Boundary regularity of optimal transport maps on convex domains Pseudo-Riemannian geometry calibrates optimal transportation, Math
Reference 21
- Resolution
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- raw_fallback, observed 2026-08-06T19:35:57.233991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2abeb0b3-1267-4a26-b727-07c1cdcefe1f · outbound
This paper cites Intermediate complex structure limit for Calabi-Yau metrics.
Boundary regularity of optimal transport maps on convex domains Intermediate complex structure limit for Calabi-Yau metrics
Reference 22
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- no resolver link, observed 2026-08-06T19:35:54.397015Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39164cd1-096c-4541-bb17-efcef27bc60a · outbound
This paper cites T., R¨ uschendorf, L.,Mass transportation problems.
Boundary regularity of optimal transport maps on convex domains T., R¨ uschendorf, L.,Mass transportation problems
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:35:57.216478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 51a9e598-9309-47a2-a676-e5ac660a03b9 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 24
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- raw_fallback, observed 2026-08-06T19:35:57.206000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation ac110725-89c3-478f-919c-1778b3747895 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 25
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- raw_fallback, observed 2026-08-06T19:35:57.195767Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1bfb66f1-e2d1-4008-a8ae-94c6a96e697c · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 26
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- raw_fallback, observed 2026-08-06T19:35:57.185550Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation acc9a4ac-b522-4cdf-afa9-07c43e39b38d · outbound
This paper cites Convex Bodies: The Brunn–Minkowski Theory , Encyclopedia Math.
Boundary regularity of optimal transport maps on convex domains Convex Bodies: The Brunn–Minkowski Theory , Encyclopedia Math
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:35:57.176437Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d3912db7-45ba-4962-bac8-9ed3628dd47d · outbound
This paper cites Complete K¨ ahler manifolds with zero Ricci curvature.
Boundary regularity of optimal transport maps on convex domains Complete K¨ ahler manifolds with zero Ricci curvature
Reference 28
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- raw_fallback, observed 2026-08-06T19:35:57.167453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 759c1c5f-60e3-4d47-b7b9-a3113331dce0 · outbound
This paper cites S., Wang, X.-J., Boundary regularity for the Monge-Amp` ere and affine maximal surface equations, Ann.
Boundary regularity of optimal transport maps on convex domains S., Wang, X.-J., Boundary regularity for the Monge-Amp` ere and affine maximal surface equations, Ann
Reference 29
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- raw_fallback, observed 2026-08-06T19:35:57.157488Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 19a42d3f-72d1-441d-a22e-9a12302afb93 · outbound
This paper cites Reine Angew.
Boundary regularity of optimal transport maps on convex domains Reine Angew
Reference 30
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- raw_fallback, observed 2026-08-06T19:35:57.146278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4e02056c-6e4c-4392-a9a6-278937273906 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 31
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- raw_fallback, observed 2026-08-06T19:35:57.027302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 67283853-2dd4-43b8-b397-43a0c8bb3143 · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 32
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- raw_fallback, observed 2026-08-06T19:35:56.783203Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation af62f1be-47b3-4a98-b1f4-3e3e46e00c6b · outbound
This paper cites On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equa- tion.
Boundary regularity of optimal transport maps on convex domains On the Ricci curvature of a compact K¨ ahler manifold and the complex Monge-Amp` ere equa- tion
Reference 33
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- raw_fallback, observed 2026-08-06T19:35:56.514780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 33868f80-5397-4c0f-a742-7d7347cb591b · outbound
This paper cites an unresolved cited work.
Boundary regularity of optimal transport maps on convex domains Unresolved cited work
Reference 34
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- raw_fallback, observed 2026-08-06T19:35:56.255599Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c8245892-0fd0-4d8a-a541-2de1b7e7b5af · outbound
This paper cites A monotonicity approach to Pogorelov’s Hessian estimates for Monge-Ampere equation.
Boundary regularity of optimal transport maps on convex domains A monotonicity approach to Pogorelov’s Hessian estimates for Monge-Ampere equation
Reference 35
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- raw_fallback, observed 2026-08-06T19:35:56.062242Z
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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
Observation 65989be7-a18f-4825-8aa9-5e901422704a · inbound
On a general class of free boundary Monge-Amp\`ere equations cites this paper.
On a general class of free boundary Monge-Amp\`ere equations Boundary regularity of optimal transport maps on convex domains
Reference 12
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- no resolver link, observed 2026-08-05T23:35:16.248308Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59c6b3de-5335-41b4-ae6e-5a7c0e8bc914 · inbound
Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities cites this paper.
Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities Boundary regularity of optimal transport maps on convex domains
Reference 10
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- verified exact
- arxiv_id, observed 2026-05-20T08:13:08.254493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 53f58206-9f4d-4f0d-9571-bcc1ed46270c · inbound
Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities cites this paper.
Solutions to Monge-Amp\`ere Equations with Low Codimensional singularities Boundary regularity of optimal transport maps on convex domains
Reference 10
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- verified exact
- arxiv_id, observed 2026-06-30T18:14:59.944741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 3c3e8396-1ecc-4272-90be-910c7e4ff723 · inbound
Optimizing Computational-Statistical Runtime for Wasserstein Distance Estimation cites this paper.
Optimizing Computational-Statistical Runtime for Wasserstein Distance Estimation Boundary regularity of optimal transport maps on convex domains
Reference 26
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- verified exact
- arxiv_id, observed 2026-05-20T03:28:01.226694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 2e235dac-3153-4c57-86bf-3fcf5c3f406a · inbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance cites this paper.
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Boundary regularity of optimal transport maps on convex domains
Reference 32
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-06-30T14:54:45.567920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 58eb198e-4b50-4357-8643-3adbe5076ad5 · inbound
Global $W^{2,p}$ Regularity in Optimal Transport cites this paper.
Global $W^{2,p}$ Regularity in Optimal Transport Boundary regularity of optimal transport maps on convex domains
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-07-31T08:36:25.087119Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.