Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:01:34.423751Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 1 inbound Pith citation observation for arXiv:2506.14735.
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 2026-08-15T20:01:34.423751Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:28:49.682827Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-15T17:28:49.884655Z
63 of 63 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1dbf2c59-6166-4f88-aa80-aedb230e3522 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6d32ad53-2bce-4726-9636-1238ed107317 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport H., Villa, R.:Rogers-Shephard and local Loomis–Whitney type inequalities
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 41cb432e-ab58-4b12-8b09-038574142e8b · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport H., Villa, R.:Rogers–Shephard inequality for log- concave functions
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 78fb0341-2451-4812-bcbd-2fc58e911a2a · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport H., Villa, R.:John’s Ellipsoid and the Integral Ratio of a Log-Concave Function
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b69ec3eb-5724-41b2-a136-48f89f308db6 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport 51, 33-48 (2004)
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b83bd834-8246-4656-92b9-fe3bc496e509 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8e0f8a53-64ab-4c85-8599-ac29d94d85f0 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e78d6671-a436-4d98-afe6-d99b407ce61e · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport J., Colesanti, A., Yang, D.: The Lp-Minkowski problem for −n < p <1
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e264d5d5-56cc-4d85-91a6-87f832ff86c2 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f01ac56e-456a-4ac7-b393-03102d0f206d · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b0c3174d-f6ef-44a4-8827-b2182fa6e338 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport J., Lutwak, E., Yang, D., Zhang, G.:The logarithmic Minkowski problem
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8f1e9a0e-3860-443a-9730-70c70797ee68 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport J., Lutwak, E., Yang, D., Zhang, G., Zhao, Y.:The Gauss Image Problem
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7224dd24-dd47-4f17-8ae4-8e6cba7104c6 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 431b5a42-d29b-40ca-8d6d-686a939c0c48 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport J., Lieb, E
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c287aac7-d798-487c-b47f-ea66b8ea0a7f · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3b63078c-a3b6-444d-ad5e-3568bb9faa9d · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport M.:Functional Versions ofLp-Affine Surface Area and Entropy Inequalities
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation df6d71b6-2a2b-43da-a67d-37f81b772dc9 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport M.: Divergence for s-concave and log concave functions
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation db17ed7c-a452-41dc-9092-e878540b5b5e · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport M.: Mixed f-divergence and inequalities for log-concave functions
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4739e989-21d2-4aac-8ebc-1721860a6ea4 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3aa65332-5380-46be-9de3-438e8fbbf079 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d6511d0e-feb9-41ef-91a8-c9ffffbc9e12 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 74588758-13eb-47d6-af59-91922fee82d4 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Cambridge University Press, Cambridge, (2019)
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1c782833-6005-4b18-93a5-2b41e09b9430 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport On the functional Minkowski problem
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d216271-2d1f-4d6f-ac51-5b63a6da19bd · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f02d848f-f384-49d1-bd9b-926d1c4818df · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport The Riesz $\alpha$-energy of log-concave functions and related Minkowski problem
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 68bbda01-1ce9-4f02-9992-0885172b0418 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 054a599a-820b-4ea9-adaa-30765c5eb665 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport EMS Press, Berlin, (2021)
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 64e20eb2-2ae0-4a55-b4ab-552cd850b604 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport B.: Real Analysis: Modern Techniques and Their Applications
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b26d2d97-2cd4-48c2-a4dc-132233725ddb · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d0d022ab-4881-4c6d-acf9-cecec50df4e8 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation eaec1a21-aafd-45c1-ba4d-6548d3665efe · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport J.: The geometry of optimal transportation
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7ef6a831-c41a-4a21-8b44-65f626b4abff · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport J., Hug, D., Weil, W., Xing, S., Ye, D.: General volumes in the Orlicz-Brunn–Minkowski theory and a related Minkowski problem I
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0f91e70e-ec7f-4b5e-9ba4-ee535f6af2de · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f83a8064-4447-4732-9cbd-af5b5bc3344a · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 54ed2104-b0b8-4923-8e80-35ef1000f791 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 46674ae5-1e6d-44a6-8d66-54f43795073e · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e936c503-28d8-4555-8d0d-7d03a5270ca1 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Journal of Convex Analysis
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bc5c1bf5-fdc0-468b-b01a-a71b239932e3 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 85384088-b909-48a2-91d0-beffc899e682 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport D.: Geometry of Log-concave Functions and Measures
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1a2f5b9b-dd4c-41fa-9b38-826d0d654a44 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport S.: On the optimal mapping of distributions
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 91c35c98-0a82-4dd9-b923-882b1226de55 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 01e1fb0e-7634-4196-89c5-25e8f9ada935 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport M.: Floating functions
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3356c1a2-60a2-4b1a-80d5-e54ba055771f · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport M.: The L¨ owner Function of a Log-Concave Function
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 13d66777-3da1-40a3-bbec-5b34206363d2 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1f48668e-7d35-4742-a2c9-808c036877b8 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b067f036-ca51-4d0d-949a-72b7289901ef · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport J.: Polar factorization of maps on Riemannian manifolds
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f731b2ba-b665-46db-a43c-cd898240f297 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Electron
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b5cf5f4c-abfe-4dbd-abaf-1edf42dd3ffa · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport (ed.) Ausgew¨ ahlte Arbeiten zur Zahlentheorie und zur Geometrie: Mit D
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f37b2aee-32de-4cf4-9bed-4996abc927c5 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e197fb18-146f-47ac-acea-c54d744c87c6 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport T.: Convex Analysis
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9d5a7eda-4d4e-4de9-9a2f-f8949b8e1a76 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e8a24578-a47d-4c59-a1d1-2e53d0eec540 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 05bcaf6d-dd44-406d-b168-27bf0866f0b6 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport In: Eldan, R., Klartag, B., Litvak, A., and Milman, E
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9d265807-3c7a-4242-b0ad-6564794d1420 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9ccf0722-74ef-40f6-963c-d61ba2ceff7a · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Birkh¨ auser/Springer, Cham, (2015)
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b34ac6bb-ab5b-4603-8062-0b731e853e18 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 66d035d0-67ce-4879-b558-ff80dd8d9e03 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 80a87603-b2b1-44d3-a591-8eb1a9930f76 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport First variation of functional Wulff shapes
Reference 58
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 70bb6620-f8c3-4dcc-9231-e31fa6228b7a · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport American Mathematical Society, Providence, RI, (2003)
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bba889ec-7ac4-450c-9efd-e0bffe1b33a0 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Springer-Verlag, Berlin, (2009)
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 767f8b0e-4229-41b9-9113-5f37b7da2d45 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 74507792-1dd4-41da-849b-13f0eb473935 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Unresolved cited work
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation dcc4817d-d5b0-45b7-84fe-f29455e2f204 · outbound
A Minkowski problem for $\alpha$-concave functions via optimal transport Springer, Vienna (1989)
Reference 1909
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0905cf9a-f6f3-4787-b3f0-7d098580ce4f · inbound
The Gaussian Minkowski problem for epigraphs of convex functions A Minkowski problem for $\alpha$-concave functions via optimal transport
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.