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Paper Citation Record · LEDGER

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance

As of 9 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 1 inbound Pith citation observation for arXiv:2605.24232.

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pith.paper-citation-record.v1
2605.24232 v1

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T14:48:46.558424Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T12:53:55.466069Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

46 of 46 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4aa14181-abf9-40ba-9d66-9878bedf1535 · outbound

This paper cites D´ ecomposition polaire et r´ earrangement monotone des champs de vecteurs.CR Acad.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance D´ ecomposition polaire et r´ earrangement monotone des champs de vecteurs.CR Acad

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:688530aeee03a6ec1881c7f9c0afd45620a09932b0057086fcffdd2513395b82

Observation bb413d67-9456-41b2-9b32-ffd2ebae19d5 · outbound

This paper cites InteriorW 2,p estimates for solutions of the monge-ampere equation.Annals of Mathematics, pages 135–150, 1990.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance InteriorW 2,p estimates for solutions of the monge-ampere equation.Annals of Mathematics, pages 135–150, 1990

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 72a2efa0-289e-4cf7-abab-e36319aead9f · outbound

This paper cites Classical solvability in dimension two of the second boundary-value problem as- sociated with the Monge-Amp` ere operator.Ann.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Classical solvability in dimension two of the second boundary-value problem as- sociated with the Monge-Amp` ere operator.Ann

Reference 3

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:9746f23e96ea718195890d313b63b61e00f767811590e532a817e5c6090dd6d1

Observation 506cbee9-cb1e-4226-a038-d075838a04fc · outbound

This paper cites The regularity of mappings with a convex potential.Journal of the American Mathematical Society, 5(1):99–104, 1992.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance The regularity of mappings with a convex potential.Journal of the American Mathematical Society, 5(1):99–104, 1992

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.202431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:f0253fed1b21e51c9d191eb294ef4c12b7e4c5a0b092c52bd053419f4dbe3336

Observation 486ff3e3-f044-4965-ae19-f3baa80cfd41 · outbound

This paper cites Boundary regularity of maps with convex potentials.Communications on pure and applied mathematics, 45(9):1141–1151, 1992.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Boundary regularity of maps with convex potentials.Communications on pure and applied mathematics, 45(9):1141–1151, 1992

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:4ee250a07a6cd7eb9fe09132773f0f91a0b853392282bdb6ae176b91099aa74d

Observation 578ff9c2-721d-450a-a1e5-13e981ee0c32 · outbound

This paper cites Boundary regularity of maps with convex potentials–ii.Annals of mathematics, 144(3):453–496, 1996.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Boundary regularity of maps with convex potentials–ii.Annals of mathematics, 144(3):453–496, 1996

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.235088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:5f401451c2806467089bf368d47c1be9277f24c1d7df1ee4631b9c491537c773

Observation 16407db7-9dc6-4775-9df1-d9e9a287b042 · outbound

This paper cites On the second boundary value problem for equations of Monge-Amp` ere type.J.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance On the second boundary value problem for equations of Monge-Amp` ere type.J

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b31c768a-c2ea-46d7-8a04-9b8c77af525c · outbound

This paper cites Regularity of optimal transport on compact, locally nearly spher- ical, manifolds.J.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Regularity of optimal transport on compact, locally nearly spher- ical, manifolds.J

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 8333d05c-520e-4d37-9477-ecede505e983 · outbound

This paper cites Locally nearly spherical surfaces are almost-positivelyc-curved.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Locally nearly spherical surfaces are almost-positivelyc-curved

Reference 9

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verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.230125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation dc4cd610-3dbb-4217-924e-9262c396195e · outbound

This paper cites Inventiones mathematicae, 192(1):55–69, 2013.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Inventiones mathematicae, 192(1):55–69, 2013

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation c33f3b1e-b58a-455b-a308-280799a20590 · outbound

This paper cites an unresolved cited work.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-08T21:55:39.239416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:4a8435b9ef316370acca58dc289d3dd55ef4c7e351cc480dda9a2873b687ed75

Observation f634bf1a-3f94-48a3-a146-db94f31709cd · outbound

This paper cites On the local geometry of maps with c-convex potentials.Calc.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance On the local geometry of maps with c-convex potentials.Calc

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:63f443c91d75fdeb4240cbdf51d9e157f6e0f196774338a198a9b355a861fd57

Observation 13185a58-6fa9-4120-8d05-7d174a959ef7 · outbound

This paper cites Regularity of monotone transport maps between un- bounded domains.Discrete and Continuous Dynamical Systems, 2019.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Regularity of monotone transport maps between un- bounded domains.Discrete and Continuous Dynamical Systems, 2019

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.243391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:22c0ea3aeb859fe69a0035c12157cc51353bf7fa50fc1eac1cbd22f733a0ddc1

Observation 5a678e6a-7fe3-42d0-af0a-71039ee1049f · outbound

This paper cites Global regularity for the monge-ampere equation with natural boundary condition.Annals of Mathematics, 194(3):745–793, 2021.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Global regularity for the monge-ampere equation with natural boundary condition.Annals of Mathematics, 194(3):745–793, 2021

Reference 14

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raw_fallback, observed 2026-07-08T21:55:39.185162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:b0b60503f75ed896b7e39f5f7799a17669ddf30c0dc2de85ce1c0fc45b0c7d0e

Observation bd749604-ebac-4839-ba0c-1b167f6ae93f · outbound

This paper cites Springer.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Springer

Reference 15

Resolution
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raw_fallback, observed 2026-07-08T21:55:39.207542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 3535a557-c4c1-410c-a7f9-c69b7c818019 · outbound

This paper cites Polar factorization and monotone rearrangement of vector-valued functions.Comm.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Polar factorization and monotone rearrangement of vector-valued functions.Comm

Reference 16

Resolution
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raw_fallback, observed 2026-07-08T21:55:39.183162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:f50210c007f02d30da816700dd52d4c5afb60180e42104b1571b6fab8b6741d3

Observation 753675ac-0098-4368-8000-bc65dd8ef6a2 · outbound

This paper cites an unresolved cited work.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work

Reference 17

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unresolved
raw_fallback, observed 2026-07-08T21:55:39.205928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:6079e4b7fa494db0857fe113d62d231870bc11ed710a00a8872dfbf45c15cb47

Observation 776bd35c-0e61-450b-8c46-51360d489fd5 · outbound

This paper cites On h¨ older continuity-in-time of the optimal transport map towards measures along a curve.Proceedings of the Edinburgh Mathematical Society, 54(2):401–409.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance On h¨ older continuity-in-time of the optimal transport map towards measures along a curve.Proceedings of the Edinburgh Mathematical Society, 54(2):401–409

Reference 18

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verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.228866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:7a78533b18571d76ba436672ea596d31103d30a30c7336801621f62e93981728

Observation 72b5bb9d-3dd3-4c40-a2d3-4be4bb76e0a5 · outbound

This paper cites On the regularity of the polar factorization for time dependent maps.Calculus of Variations and Partial Differential Equations, 22(3):343–374, 2005.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance On the regularity of the polar factorization for time dependent maps.Calculus of Variations and Partial Differential Equations, 22(3):343–374, 2005

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:05:42.723288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:2484a74b0930e58a1ad4d3e9e89349a018b65c6aec1fff63b07cd32ff91fc2fc

Observation 65fedc23-8453-483e-86d7-be4f64939721 · outbound

This paper cites an unresolved cited work.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work

Reference 20

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raw_fallback, observed 2026-07-08T22:05:42.721320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:47fa56416aaf72f780c91fd6617d722e8ceb6acbb6b7168b4a8415e50c102e25

Observation fef3472a-0f94-41b8-aa97-df24f98383d3 · outbound

This paper cites Quantitative stability of optimal transport maps and linearization of the 2-wasserstein space.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Quantitative stability of optimal transport maps and linearization of the 2-wasserstein space

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:05:42.725114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:7ff15e7bbce9f630228307c5310fdd45ad703bea4871f794f1d4b1e9528f8f04

Observation ce5cf771-0bd1-4cef-a454-49517e1e70b7 · outbound

This paper cites Quantitative stability of optimal transport maps under vari- ations of the target measure.Duke Math.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Quantitative stability of optimal transport maps under vari- ations of the target measure.Duke Math

Reference 22

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raw_fallback, observed 2026-07-08T22:05:42.708860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:7ff029aa5da4799f4907c68683345d953215bc6e7a9fb1b0107358fcad101f40

Observation 85b05029-5f9a-474d-ae20-405a65e5d11c · outbound

This paper cites Gluing methods for quantitative stability of optimal transport maps.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Gluing methods for quantitative stability of optimal transport maps

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-07-17T01:21:40.205413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 100f6cee-56ea-4b7b-86e5-f87f8f6e09c5 · outbound

This paper cites Stability of optimal transport maps on Riemannian manifolds.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Stability of optimal transport maps on Riemannian manifolds

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-06-30T14:54:45.566179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:8468e9132aeeff23f89c6e1bbbb912ba67ef46e2736d48b54c69c46c917ce9e4

Observation 4ce7900e-06fa-4144-862f-6ae898729e65 · outbound

This paper cites Quantitative stability in quadratic optimal transport.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Quantitative stability in quadratic optimal transport

Reference 25

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verified fuzzy
raw_fallback, observed 2026-07-08T22:05:42.717684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:c96796c372d8c490cde1cea76005311581f69978e776b0c31df25fd916f0a257

Observation 54de7566-6c42-4543-991a-366744cb438d · outbound

This paper cites Quantitative stability in discrete optimal transport.arXiv preprint arXiv:2510.17407, 2025.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Quantitative stability in discrete optimal transport.arXiv preprint arXiv:2510.17407, 2025

Reference 26

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verified exact
arxiv_id, observed 2026-06-30T14:54:45.565672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:60302b1b7c9cba33c35f53f986e5783ecde8a17cb544a2bf7672fe5c2f3651ce

Observation 90e76066-20b3-41b4-a5ae-6d000604bbb1 · outbound

This paper cites A class of sobolev type inequalities.Methods Appl.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance A class of sobolev type inequalities.Methods Appl

Reference 27

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verified fuzzy
raw_fallback, observed 2026-07-08T22:05:42.730779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:0bf7b0c96fc9df2c02f0b110ec8f60f9d429ebb0dbe5fc6956663d02af2d70e9

Observation 5fbf1939-7c41-41f2-b5c9-a571d30ec03e · outbound

This paper cites Regularity for the optimal transportation problem with eu- clidean distance squared cost on the embedded sphere.SIAM Journal on Mathematical Analysis, 44(4):2871–2887, 2012.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Regularity for the optimal transportation problem with eu- clidean distance squared cost on the embedded sphere.SIAM Journal on Mathematical Analysis, 44(4):2871–2887, 2012

Reference 28

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verified fuzzy
raw_fallback, observed 2026-07-08T22:05:42.727129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:53755bffea26fed24679db163dfdac863a4c42a9b2d689a840feb03e0929c05d

Observation 37428aee-1155-4919-8109-b6871da54a1d · outbound

This paper cites Conditions for existence of single valued optimal trans- port maps on convex boundaries with nontwisted cost.Calc.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Conditions for existence of single valued optimal trans- port maps on convex boundaries with nontwisted cost.Calc

Reference 29

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verified fuzzy
raw_fallback, observed 2026-07-08T22:05:42.712781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:e667111081e17e064efdce3887fd8d922a0c9f240e8699e5f5cc5e3a4b7e437e

Observation 91289abc-b32c-49f7-abeb-84992d062b4a · outbound

This paper cites Generalization of an inequality by talagrand and links with the logarithmic sobolev inequality.Journal of Functional Analysis, 2000.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Generalization of an inequality by talagrand and links with the logarithmic sobolev inequality.Journal of Functional Analysis, 2000

Reference 30

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raw_fallback, observed 2026-07-08T21:55:39.248198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:57c62d82f14f6029009e8d0c7a6761ecb3781c1a3ef8d5395f4efbba0ec49b70

Observation 7e25dfd0-7601-42d4-ad62-a3337278fe1f · outbound

This paper cites Linearization of monge-amp` ere equations and statistical applications, 2024.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Linearization of monge-amp` ere equations and statistical applications, 2024

Reference 31

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verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.250003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:7327e5be061791c03d8346a582dca136183c47ea7f4c1a06a43ce9cacea87b8d

Observation 2e235dac-3153-4c57-86bf-3fcf5c3f406a · outbound

This paper cites Boundary regularity of optimal transport maps on convex domains.

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 2026-08-09T06:31:02.800959+00:00.

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Observation 1b709e75-5db8-4676-9ae9-998412287881 · outbound

This paper cites De La Llave and R.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance De La Llave and R

Reference 33

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 7eb42101-24ff-41a1-b2e9-55e7402eeb5b · outbound

This paper cites American Mathematical Society, 2003.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance American Mathematical Society, 2003

Reference 34

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation e22c18b7-ef96-4ea2-ad77-0a1ec2b4cff6 · outbound

This paper cites Lectures in Mathematics ETH Z¨ urich.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Lectures in Mathematics ETH Z¨ urich

Reference 35

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b6ca93af-f02e-4ba9-81b9-bb81b6d0f1d4 · outbound

This paper cites Springer Cham, 2021.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Springer Cham, 2021

Reference 36

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b74430e2-c8a2-4003-92c8-0e04e2c80376 · outbound

This paper cites Springer.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Springer

Reference 37

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 59dc3e76-366b-423a-abd6-dfb68e271ea6 · outbound

This paper cites Springer.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Springer

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T22:05:42.710821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation da43ea5a-1d11-4bdd-bd54-24fff849b164 · outbound

This paper cites an unresolved cited work.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-07-08T22:05:42.728828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 5239f87b-34c9-489a-9d97-e2a70717f065 · outbound

This paper cites On Witten Laplacians and Brascamp-Lieb’s inequality on manifolds with bound- ary.Integral Equations Operator Theory, 87(3):411–434, 2017.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance On Witten Laplacians and Brascamp-Lieb’s inequality on manifolds with bound- ary.Integral Equations Operator Theory, 87(3):411–434, 2017

Reference 40

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 2bea6e3b-5284-4ca5-9ac1-0493e47025a2 · outbound

This paper cites Kolesnikov and Emanuel Milman.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Kolesnikov and Emanuel Milman

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.241506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation 20915864-3986-4f55-a631-12f44bc6c493 · outbound

This paper cites Interpolations, convexity and geometric inequalities.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Interpolations, convexity and geometric inequalities

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.219706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation c395d958-9898-41b5-9af2-42c22ad66871 · outbound

This paper cites an unresolved cited work.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-07-08T21:55:39.217295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation a2d2d9e0-7a1a-4ea9-9806-859d931cba16 · outbound

This paper cites Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2011.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2011

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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Observation b7656fe5-1559-4f6b-8d64-63e93ccfe8fe · outbound

This paper cites World Scientific, 2013.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance World Scientific, 2013

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.216453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:46d701080ff33a047f20d9c92640975f3abbd6832b26d8a16a2977baaa55e51b

Observation 40613887-5d93-4ae9-b9b5-691f21a34ca3 · outbound

This paper cites Princeton university press, 1970.

Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Princeton university press, 1970

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T21:55:39.219069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T14:48:46.558424Z digest=sha256:d2bb6946444af2e123b9e35d2040807249e44c0abd478dedd67f8e54007516aa

Pith citing papers

Observation 349eb4e2-59a0-4a30-8c39-91b9729cdc34 · inbound

No-gap second-order conditions for optimization problems involving transport distances cites this paper.

No-gap second-order conditions for optimization problems involving transport distances Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-31T12:53:55.466069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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