Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:26:47.171005Z
Paper Citation Record · LEDGER
As of 19 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 6 inbound Pith citation observations for arXiv:2506.16941.
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 2026-08-15T19:26:47.171005Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T07:22:01.916958Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T02:26:26.076204Z
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4a3e8339-b72e-4a21-9521-27ecc306df72 · outbound
Concavity principles for weighted marginals Entropy and functional forms of the dimensional Brunn–Minkowski inequal- ity in Gauss space
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 03fc018a-f9a6-4f77-a17d-25b5c948c0b2 · outbound
Concavity principles for weighted marginals New Brunn–Minkowski and functional inequalities via convexity of entropy
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2929a80-9ed1-46ea-98f9-37259de4d4ee · outbound
Concavity principles for weighted marginals Analysis and geometry of Markov diffusion operators, volume 348 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 75b69ee0-8469-4485-b447-cc0fe79ae863 · outbound
Concavity principles for weighted marginals Entropy jumps in the presence of a spectral gap
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 72dbee5f-c37b-4659-8891-b9fcacbc0b25 · outbound
Concavity principles for weighted marginals Invariances in variance estimates
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0c82a634-b5d5-40cc-ac93-8c9f13f9d0c7 · outbound
Concavity principles for weighted marginals Bobkov and Michel Ledoux
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 319dbd9a-b0d0-4a65-86f1-9c0339fe7923 · outbound
Concavity principles for weighted marginals Bobkov and Michel Ledoux
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 99dd9d6f-ac8c-454e-be77-305de2fedbf1 · outbound
Concavity principles for weighted marginals Convex set functions in d-space
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1513ea79-ffb7-4b54-9c72-4c2f09cac404 · outbound
Concavity principles for weighted marginals Capacitary inequalities of the Brunn-Minkowski type
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e587fc57-efbc-48d1-bcf9-38024c4dab8f · outbound
Concavity principles for weighted marginals Hitting probabilities of killed Brownian motion: a study on geometric regularity
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5f9cf340-ea6c-4a20-adeb-67c2dda9b0c5 · outbound
Concavity principles for weighted marginals Greenian potentials and concavity
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3f35edd1-fdec-44b9-9d3b-d35c7dbff10e · outbound
Concavity principles for weighted marginals Diffusion equations and geometric inequalities
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 71c6954e-8983-40ec-965b-ca3c4f7af95b · outbound
Concavity principles for weighted marginals B¨ or¨ oczky and Pavlos Kalantzopoulos
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation eb3a7ade-5fdf-4963-947f-d3f3e8c74baa · outbound
Concavity principles for weighted marginals B¨ or¨ oczky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 84050625-ae3c-4df3-9cbe-afd67aabf749 · outbound
Concavity principles for weighted marginals Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f8b070ae-caa8-48c0-8888-ac8bd9e5e293 · outbound
Concavity principles for weighted marginals Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7cdfe506-387c-4643-86f2-342f521e2711 · outbound
Concavity principles for weighted marginals Brunn-Minkowski inequalities for variational functionals and related problems
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9530d844-690e-4e84-a11d-3f8dfa8a3903 · outbound
Concavity principles for weighted marginals From the Brunn-Minkowski inequality to a class of Poincar´ e-type inequalities
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 71806142-3865-4d72-8019-13f0e78da54f · outbound
Concavity principles for weighted marginals The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 365e4019-d826-4fb5-8420-b30099ab6965 · outbound
Concavity principles for weighted marginals Livshyts, and Arnaud Marsiglietti
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cee806fd-0310-49a7-a784-535824fa01d3 · outbound
Concavity principles for weighted marginals On Berndtsson’s generalization of Pr´ ekopa’s theorem.Math
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a6197695-a812-4807-ab39-12e28abcedea · outbound
Concavity principles for weighted marginals The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d122f040-9032-4bf1-b6ca-b6fcf810d429 · outbound
Concavity principles for weighted marginals Interpolations, convexity and geometric inequalities
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7b4ed1f1-ddbb-4bd3-9e13-bf31802451b3 · outbound
Concavity principles for weighted marginals Several results regarding the (B)-conjecture
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e15b8304-67d6-47c4-a7b5-6894cd2496c4 · outbound
Concavity principles for weighted marginals Improved log-concavity for rotationally invariant measures of sym- metric convex sets
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 37d01658-3ad4-47f9-abc1-bd8beb6b16f6 · outbound
Concavity principles for weighted marginals ¨Uber eine Klasse superadditiver Mengenfunktionale von Brunn-Minkowski-Lusternikschem Typus
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 32ac50df-8167-4562-bd2b-9be54658d222 · outbound
Concavity principles for weighted marginals The dimensional Brunn-Minkowski inequality in Gauss space
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e89332de-9589-4762-a3c5-e949942ea233 · outbound
Concavity principles for weighted marginals Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 574d6caf-a96f-43d6-a627-dff293363180 · outbound
Concavity principles for weighted marginals Gardner and Artem Zvavitch
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9e818689-17fb-4236-b85b-26a8e4465953 · outbound
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1f369093-8da9-4ba5-9579-f23a939a4526 · outbound
Concavity principles for weighted marginals On the measure of sum-sets
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation abe6bc37-db28-47a9-b218-0396763c09f6 · outbound
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e98b3fb4-0271-4b7b-85f2-8491190b5eca · outbound
Concavity principles for weighted marginals Grundz¨ uge einer allgemeinen Theorie der linearen Integralgleichungen
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 03940131-ba77-44a6-890b-71f4e2ba49bd · outbound
Concavity principles for weighted marginals Acta Math., 113:89–152, 1965
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2d74fffe-3927-4dcf-9337-12db48f9888e · outbound
Concavity principles for weighted marginals Birkh¨ auser Boston, Inc., Boston, MA, 1994
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 781c152c-39e1-4855-9af2-32e09202fe9d · outbound
Concavity principles for weighted marginals Kolesnikov, and Galyna V
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 989de705-329f-454c-83d4-dde9f204dbb7 · outbound
Concavity principles for weighted marginals Ivaki and Emanuel Milman
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3b9b8135-7c34-46b8-aaaa-ef7f13377642 · outbound
Concavity principles for weighted marginals Kolesnikov and Galyna V
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1d733881-0d0b-40ba-b185-3d87a0463fe0 · outbound
Concavity principles for weighted marginals Kolesnikov and Galyna V
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e0a9bd02-1835-4b14-9bbd-50a39d5d1f6f · outbound
Concavity principles for weighted marginals Kolesnikov and Emanuel Milman
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c2f162b3-56e7-4f2e-a2bd-654bb306a002 · outbound
Concavity principles for weighted marginals Kolesnikov and Emanuel Milman
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9c6093a0-ace2-4e1e-9c8a-d42593446b0f · outbound
Concavity principles for weighted marginals Kolesnikov and Emanuel Milman
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 3e2f110f-c56d-4be0-a097-85bff3beba7f · outbound
Concavity principles for weighted marginals On some inequalities for Gaussian measures
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8fafcd8f-14e5-426b-a07d-b765a46e784e · outbound
Concavity principles for weighted marginals On a certain converse of H¨ older’s inequality
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8486b843-d4c0-4fa0-94c1-30484b05d09c · outbound
Concavity principles for weighted marginals Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation caeef930-8bec-4ddc-8df5-d4d35bd20333 · outbound
Concavity principles for weighted marginals On the Brunn-Minkowski inequal- ity for general measures with applications to new isoperimetric-type inequalities
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5a9ef1e6-30bc-4e76-90e2-7e7d89319fc7 · outbound
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 60b6cb24-16a2-42ff-9796-e34dfe7c3205 · outbound
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 962a1e84-724b-4ac4-bb14-2d440d34f806 · outbound
Concavity principles for weighted marginals Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 14f5aae8-8c2f-4520-8c6a-ff939aa21921 · outbound
Concavity principles for weighted marginals On the improvement of concavity of convex measures
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 909feccd-191f-433f-87b3-5bb3ebfc3a23 · outbound
Concavity principles for weighted marginals Some deviation inequalities
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f16e4660-22c3-49e1-9c74-f7a39901c4af · outbound
Concavity principles for weighted marginals Centro-Affine Differential Geometry and the Log-Minkowski Problem
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 705d4786-75f5-4264-a6f7-f6c3b1214fb8 · outbound
Concavity principles for weighted marginals A note on a Brunn-Minkowski inequality for the Gaussian measure
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8e5f70c7-213c-4b83-9c59-17a281230e86 · outbound
Concavity principles for weighted marginals Dimensional variance inequalities of Brascamp-Lieb type and a local approach to dimensional Pr´ ekopa’s theorem.J
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e12e392d-1c6f-4492-a959-0a368574aa4e · outbound
Concavity principles for weighted marginals A local proof of the dimensional Pr´ ekopa’s theorem
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 41dbc8ce-43e6-4689-aa9a-f00bd62177ec · outbound
Concavity principles for weighted marginals Logarithmic concave measures with application to stochastic programming
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d07c418f-2d01-4460-b398-0b8c001cd271 · outbound
Concavity principles for weighted marginals On logarithmic concave measures and functions.Acta Sci
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 031fa56b-2df4-48d1-a690-6ef5c7d41175 · outbound
Concavity principles for weighted marginals Unresolved cited work
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e64762ce-1a92-4c62-b6dd-bc36a1681ad8 · outbound
Concavity principles for weighted marginals On convexity of measures
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c27bfeb2-5aac-4f38-af9e-2c323d263b24 · outbound
Concavity principles for weighted marginals On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measures
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 15bfad10-2afd-4e2b-8c80-56321dae4bfd · outbound
Concavity principles for weighted marginals Combination and mean width rearrangements of solutions to elliptic equations in convex sets
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0045ce84-dfc8-454b-acfc-b6704cc15586 · outbound
Concavity principles for weighted marginals More on logarithmic sums of convex bodies
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d326ea18-a9b5-4eee-8ac8-1eaaf6a1fdd7 · inbound
Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures Concavity principles for weighted marginals
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8fc7d628-5eab-4d68-8c5b-4233f9c5cf5b · inbound
Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures Concavity principles for weighted marginals
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9053fec2-a803-4880-b028-858d75d4f68c · inbound
$L_p$ Brunn-Minkowski inequality for weighted dual quermassintegrals Concavity principles for weighted marginals
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation edc32c59-7273-4911-8ccf-13bf780fff55 · inbound
$L_p$ Brunn-Minkowski inequality for weighted dual quermassintegrals Concavity principles for weighted marginals
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18ffee69-74f9-4695-9554-177ecdb1878f · inbound
Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Concavity principles for weighted marginals
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd0e6126-879d-4e91-9654-b9755c8b3277 · inbound
The Faber-Krahn position of convex bodies and Gaussian measure inequalities Concavity principles for weighted marginals
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.