Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T14:48:46.558424Z
Paper Citation Record · LEDGER
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.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T14:48:46.558424Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-31T12:53:55.466069Z
A source-named dated measurement, never combined with another source.
Source: cited_works
46 of 46 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4aa14181-abf9-40ba-9d66-9878bedf1535 · outbound
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
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.
Observation bb413d67-9456-41b2-9b32-ffd2ebae19d5 · outbound
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
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.
Observation 72a2efa0-289e-4cf7-abab-e36319aead9f · outbound
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
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.
Observation 506cbee9-cb1e-4226-a038-d075838a04fc · outbound
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
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.
Observation 486ff3e3-f044-4965-ae19-f3baa80cfd41 · outbound
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
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.
Observation 578ff9c2-721d-450a-a1e5-13e981ee0c32 · outbound
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
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.
Observation 16407db7-9dc6-4775-9df1-d9e9a287b042 · outbound
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
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.
Observation b31c768a-c2ea-46d7-8a04-9b8c77af525c · outbound
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
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.
Observation 8333d05c-520e-4d37-9477-ecede505e983 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Locally nearly spherical surfaces are almost-positivelyc-curved
Reference 9
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.
Observation dc4cd610-3dbb-4217-924e-9262c396195e · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Inventiones mathematicae, 192(1):55–69, 2013
Reference 10
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.
Observation c33f3b1e-b58a-455b-a308-280799a20590 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work
Reference 11
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.
Observation f634bf1a-3f94-48a3-a146-db94f31709cd · outbound
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
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.
Observation 13185a58-6fa9-4120-8d05-7d174a959ef7 · outbound
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
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.
Observation 5a678e6a-7fe3-42d0-af0a-71039ee1049f · outbound
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
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.
Observation bd749604-ebac-4839-ba0c-1b167f6ae93f · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Springer
Reference 15
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.
Observation 3535a557-c4c1-410c-a7f9-c69b7c818019 · outbound
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
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.
Observation 753675ac-0098-4368-8000-bc65dd8ef6a2 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work
Reference 17
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.
Observation 776bd35c-0e61-450b-8c46-51360d489fd5 · outbound
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
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.
Observation 72b5bb9d-3dd3-4c40-a2d3-4be4bb76e0a5 · outbound
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
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.
Observation 65fedc23-8453-483e-86d7-be4f64939721 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work
Reference 20
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.
Observation fef3472a-0f94-41b8-aa97-df24f98383d3 · outbound
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
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.
Observation ce5cf771-0bd1-4cef-a454-49517e1e70b7 · outbound
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
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.
Observation 85b05029-5f9a-474d-ae20-405a65e5d11c · outbound
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
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.
Observation 100f6cee-56ea-4b7b-86e5-f87f8f6e09c5 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Stability of optimal transport maps on Riemannian manifolds
Reference 24
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.
Observation 4ce7900e-06fa-4144-862f-6ae898729e65 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Quantitative stability in quadratic optimal transport
Reference 25
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.
Observation 54de7566-6c42-4543-991a-366744cb438d · outbound
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
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.
Observation 90e76066-20b3-41b4-a5ae-6d000604bbb1 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance A class of sobolev type inequalities.Methods Appl
Reference 27
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.
Observation 5fbf1939-7c41-41f2-b5c9-a571d30ec03e · outbound
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
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.
Observation 37428aee-1155-4919-8109-b6871da54a1d · outbound
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
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.
Observation 91289abc-b32c-49f7-abeb-84992d062b4a · outbound
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
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.
Observation 7e25dfd0-7601-42d4-ad62-a3337278fe1f · outbound
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
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.
Observation 2e235dac-3153-4c57-86bf-3fcf5c3f406a · outbound
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
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.
Observation 1b709e75-5db8-4676-9ae9-998412287881 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance De La Llave and R
Reference 33
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.
Observation 7eb42101-24ff-41a1-b2e9-55e7402eeb5b · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance American Mathematical Society, 2003
Reference 34
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.
Observation e22c18b7-ef96-4ea2-ad77-0a1ec2b4cff6 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Lectures in Mathematics ETH Z¨ urich
Reference 35
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.
Observation b6ca93af-f02e-4ba9-81b9-bb81b6d0f1d4 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Springer Cham, 2021
Reference 36
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.
Observation b74430e2-c8a2-4003-92c8-0e04e2c80376 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Springer
Reference 37
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.
Observation 59dc3e76-366b-423a-abd6-dfb68e271ea6 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Springer
Reference 38
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.
Observation da43ea5a-1d11-4bdd-bd54-24fff849b164 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work
Reference 39
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.
Observation 5239f87b-34c9-489a-9d97-e2a70717f065 · outbound
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
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.
Observation 2bea6e3b-5284-4ca5-9ac1-0493e47025a2 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Kolesnikov and Emanuel Milman
Reference 41
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.
Observation 20915864-3986-4f55-a631-12f44bc6c493 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Interpolations, convexity and geometric inequalities
Reference 42
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.
Observation c395d958-9898-41b5-9af2-42c22ad66871 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Unresolved cited work
Reference 43
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.
Observation a2d2d9e0-7a1a-4ea9-9806-859d931cba16 · outbound
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
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.
Observation b7656fe5-1559-4f6b-8d64-63e93ccfe8fe · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance World Scientific, 2013
Reference 45
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.
Observation 40613887-5d93-4ae9-b9b5-691f21a34ca3 · outbound
Stability of optimal transport maps and second variation of the 2-Monge-Kantorovich distance Princeton university press, 1970
Reference 46
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.
Observation 349eb4e2-59a0-4a30-8c39-91b9729cdc34 · inbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.