Pith. sign in

Paper Citation Record · LEDGER

Concavity principles for weighted marginals

As of 20 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.

pith.paper-citation-record.v1
2506.16941 v1

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:26:47.171005Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:22:01.916958Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T02:26:26.076204Z

Reference resolution

62 of 62 outbound references displayed

  • verified exact1
  • verified fuzzy53
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a3e8339-b72e-4a21-9521-27ecc306df72 · outbound

This paper cites Entropy and functional forms of the dimensional Brunn–Minkowski inequal- ity in Gauss space.

Concavity principles for weighted marginals Entropy and functional forms of the dimensional Brunn–Minkowski inequal- ity in Gauss space

Reference 1

Resolution
verified exact
raw_fallback, observed 2026-08-15T19:26:47.347604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.874635Z digest=sha256:4c22900fd3d85aedc720fb07c45a3942c7b723cf5542a38b38b1a41afccf45f4

Observation 03fc018a-f9a6-4f77-a17d-25b5c948c0b2 · outbound

This paper cites New Brunn–Minkowski and functional inequalities via convexity of entropy.

Concavity principles for weighted marginals New Brunn–Minkowski and functional inequalities via convexity of entropy

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T19:26:46.880123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:26:46.880123Z digest=sha256:57875d684c084afe400a6416ee254e100e1f24fbe043d5c8ed40c8a30133989b

Observation e2929a80-9ed1-46ea-98f9-37259de4d4ee · outbound

This paper cites Analysis and geometry of Markov diffusion operators, volume 348 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:48.087388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.884610Z digest=sha256:70a9192cf8594578efe6c35e333910e417c68430b0ddc633ac9df4e690d816ce

Observation 75b69ee0-8469-4485-b447-cc0fe79ae863 · outbound

This paper cites Entropy jumps in the presence of a spectral gap.

Concavity principles for weighted marginals Entropy jumps in the presence of a spectral gap

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:48.075016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.890390Z digest=sha256:8327edd98e97f3c44194784d6bd02c78dfa5c2967b2cfb35ad212be532e3f586

Observation 72dbee5f-c37b-4659-8891-b9fcacbc0b25 · outbound

This paper cites Invariances in variance estimates.

Concavity principles for weighted marginals Invariances in variance estimates

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:48.062422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.895547Z digest=sha256:245aa3b2747434116b008e0b9ee68a2aae28730737c1b57ef71cf7232ed230f7

Observation 0c82a634-b5d5-40cc-ac93-8c9f13f9d0c7 · outbound

This paper cites Bobkov and Michel Ledoux.

Concavity principles for weighted marginals Bobkov and Michel Ledoux

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:48.050633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.900739Z digest=sha256:b6a488308e4d9008fffb2bd50223ea442a063707f47f1421ea0de69a73dc703d

Observation 319dbd9a-b0d0-4a65-86f1-9c0339fe7923 · outbound

This paper cites Bobkov and Michel Ledoux.

Concavity principles for weighted marginals Bobkov and Michel Ledoux

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:48.038793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.906020Z digest=sha256:14cd5ba3b72234c6b3affcf7dbed0e1097e815b6973882c7e6ec7f9c3c6694e0

Observation 99dd9d6f-ac8c-454e-be77-305de2fedbf1 · outbound

This paper cites Convex set functions in d-space.

Concavity principles for weighted marginals Convex set functions in d-space

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:48.027079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.911781Z digest=sha256:c76f29d8e517ec386e8423ae352acc0f866f5a3c0043ff1b1ce1aa3cde5aa1f4

Observation 1513ea79-ffb7-4b54-9c72-4c2f09cac404 · outbound

This paper cites Capacitary inequalities of the Brunn-Minkowski type.

Concavity principles for weighted marginals Capacitary inequalities of the Brunn-Minkowski type

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:48.014055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.915936Z digest=sha256:df6ff62300bb3c9be390e893c5ddabb9103347f4fc4d27dc77db17217167a208

Observation e587fc57-efbc-48d1-bcf9-38024c4dab8f · outbound

This paper cites Hitting probabilities of killed Brownian motion: a study on geometric regularity.

Concavity principles for weighted marginals Hitting probabilities of killed Brownian motion: a study on geometric regularity

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:48.002248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.920892Z digest=sha256:3bd047c10ddcdb2276959a0978c63f43fb1b5970ccaf73e7ed25b025d407e93e

Observation 5f9cf340-ea6c-4a20-adeb-67c2dda9b0c5 · outbound

This paper cites Greenian potentials and concavity.

Concavity principles for weighted marginals Greenian potentials and concavity

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.990656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.925319Z digest=sha256:c57f8272904fa41a63698afb8a4800e3b1449da66d4edac6287bb51bb488abb6

Observation 3f35edd1-fdec-44b9-9d3b-d35c7dbff10e · outbound

This paper cites Diffusion equations and geometric inequalities.

Concavity principles for weighted marginals Diffusion equations and geometric inequalities

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.978538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.929467Z digest=sha256:9b78db0104265a2e6493a310ac07fdb28a225a7925a74969b89ce7c4256424c6

Observation 71c6954e-8983-40ec-965b-ca3c4f7af95b · outbound

This paper cites B¨ or¨ oczky and Pavlos Kalantzopoulos.

Concavity principles for weighted marginals B¨ or¨ oczky and Pavlos Kalantzopoulos

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.964455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.933769Z digest=sha256:3ce045435e799d0ceca22abb5e1dec06ba39e9e40fa34c831b943f428ba8b19d

Observation eb3a7ade-5fdf-4963-947f-d3f3e8c74baa · outbound

This paper cites B¨ or¨ oczky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang.

Concavity principles for weighted marginals B¨ or¨ oczky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.951001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.939021Z digest=sha256:ab04129e2e9eb0d4bd72a2fb5f295bb0d61785d3611f7106084fe1b6d2b95ab4

Observation 84050625-ae3c-4df3-9cbe-afd67aabf749 · outbound

This paper cites an unresolved cited work.

Concavity principles for weighted marginals Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:47.938527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.943647Z digest=sha256:9cec761e8da120c430d6353724f0923ae96ff4aab2c665f7c44239d944ff4d0c

Observation f8b070ae-caa8-48c0-8888-ac8bd9e5e293 · outbound

This paper cites an unresolved cited work.

Concavity principles for weighted marginals Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:47.925903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.948220Z digest=sha256:f0f2e40e945eac4f78c33c5b8a33dccac997cb40a1b04c6a8679c24aae4852d1

Observation 7cdfe506-387c-4643-86f2-342f521e2711 · outbound

This paper cites Brunn-Minkowski inequalities for variational functionals and related problems.

Concavity principles for weighted marginals Brunn-Minkowski inequalities for variational functionals and related problems

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.909372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.953293Z digest=sha256:906fa2f778df99879ba3c4a4aeb918cf3b1506f1e880d424a46eeda77c9c162c

Observation 9530d844-690e-4e84-a11d-3f8dfa8a3903 · outbound

This paper cites From the Brunn-Minkowski inequality to a class of Poincar´ e-type inequalities.

Concavity principles for weighted marginals From the Brunn-Minkowski inequality to a class of Poincar´ e-type inequalities

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.895911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.957805Z digest=sha256:5efcca9abbab3fa66c5cc213d6bb7417e24917bc4efb988d7959d731839ecce1

Observation 71806142-3865-4d72-8019-13f0e78da54f · outbound

This paper cites The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction.

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

Resolution
unresolved
no resolver link, observed 2026-08-15T19:26:46.963179Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:26:46.963179Z digest=sha256:367511371c19bb784d28dbd892dc6897e50f83cf632ec883e30ab5cc5fa58de9

Observation 365e4019-d826-4fb5-8420-b30099ab6965 · outbound

This paper cites Livshyts, and Arnaud Marsiglietti.

Concavity principles for weighted marginals Livshyts, and Arnaud Marsiglietti

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.882801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.967864Z digest=sha256:4bdea3fcbd14515ee978bba23d06211331fd40f8f614b1f1e7bbafe257461de4

Observation cee806fd-0310-49a7-a784-535824fa01d3 · outbound

This paper cites On Berndtsson’s generalization of Pr´ ekopa’s theorem.Math.

Concavity principles for weighted marginals On Berndtsson’s generalization of Pr´ ekopa’s theorem.Math

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.869551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.972164Z digest=sha256:98392e7bf598722a2bac54ec28d4e7968b61024d54061482132a3be676979e3a

Observation a6197695-a812-4807-ab39-12e28abcedea · outbound

This paper cites The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems.

Concavity principles for weighted marginals The (B) conjecture for the Gaussian measure of dilates of symmetric convex sets and related problems

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.856866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.976504Z digest=sha256:4f39649230993d39ad151bb9148adad92d5433c18799fe9f90ad2f0549e417df

Observation d122f040-9032-4bf1-b6ca-b6fcf810d429 · outbound

This paper cites Interpolations, convexity and geometric inequalities.

Concavity principles for weighted marginals Interpolations, convexity and geometric inequalities

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.844681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.981212Z digest=sha256:c47d9a639b6d28db7d60e5c2131de53d49acf058e7fa7cd8e39b6b35e3d73a2d

Observation 7b4ed1f1-ddbb-4bd3-9e13-bf31802451b3 · outbound

This paper cites Several results regarding the (B)-conjecture.

Concavity principles for weighted marginals Several results regarding the (B)-conjecture

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.832640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.985321Z digest=sha256:bd096c5c9f0b2ba4ededabb45ba6db370ca37f962397e103231310358e11df5b

Observation e15b8304-67d6-47c4-a7b5-6894cd2496c4 · outbound

This paper cites Improved log-concavity for rotationally invariant measures of sym- metric convex sets.

Concavity principles for weighted marginals Improved log-concavity for rotationally invariant measures of sym- metric convex sets

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.819965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.989662Z digest=sha256:2811727415a3fc6870ed439aadc465c977e55993240b218908a3900b76e6de82

Observation 37d01658-3ad4-47f9-abc1-bd8beb6b16f6 · outbound

This paper cites ¨Uber eine Klasse superadditiver Mengenfunktionale von Brunn-Minkowski-Lusternikschem Typus.

Concavity principles for weighted marginals ¨Uber eine Klasse superadditiver Mengenfunktionale von Brunn-Minkowski-Lusternikschem Typus

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.807136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.994063Z digest=sha256:4d8ca02259517b35cc9d72a36053ad51798b951ccde42cc3c283a99398193574

Observation 32ac50df-8167-4562-bd2b-9be54658d222 · outbound

This paper cites The dimensional Brunn-Minkowski inequality in Gauss space.

Concavity principles for weighted marginals The dimensional Brunn-Minkowski inequality in Gauss space

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.792215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:46.998674Z digest=sha256:76c84bf9aa5a7f9cdedc0b86d88ba07594d105e73f89c9d882ce9525738762ba

Observation e89332de-9589-4762-a3c5-e949942ea233 · outbound

This paper cites an unresolved cited work.

Concavity principles for weighted marginals Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:47.779149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.003657Z digest=sha256:2eea4afe50ef6406b4c03285e970bb67f5b7a35298d4dc6c18e97e38a0253cb8

Observation 574d6caf-a96f-43d6-a627-dff293363180 · outbound

This paper cites Gardner and Artem Zvavitch.

Concavity principles for weighted marginals Gardner and Artem Zvavitch

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.766499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.010050Z digest=sha256:b7dcf54347a47052c14828d53bdd7fec59e93550318ded6c07f50e2d4f9c7310

Observation 9e818689-17fb-4236-b85b-26a8e4465953 · outbound

This paper cites Trudinger.

Concavity principles for weighted marginals Trudinger

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.754065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.015761Z digest=sha256:1cee5e0b14bee38396355875f1bde558ee85ab4af3b3b76420ca5841844fe374

Observation 1f369093-8da9-4ba5-9579-f23a939a4526 · outbound

This paper cites On the measure of sum-sets.

Concavity principles for weighted marginals On the measure of sum-sets

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.742065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.023926Z digest=sha256:e7fcba3ce318d57795727eb26f0faeee9d73d2a6946cf717d3b9458672a3ad87

Observation abe6bc37-db28-47a9-b218-0396763c09f6 · outbound

This paper cites Livshyts.

Concavity principles for weighted marginals Livshyts

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.730619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.029373Z digest=sha256:db8c4af98070e0f638b06255eae2d6e19d888c1d5cd2bb6d53a897df892d4069

Observation e98b3fb4-0271-4b7b-85f2-8491190b5eca · outbound

This paper cites Grundz¨ uge einer allgemeinen Theorie der linearen Integralgleichungen.

Concavity principles for weighted marginals Grundz¨ uge einer allgemeinen Theorie der linearen Integralgleichungen

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.718112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.034016Z digest=sha256:b60b2d2cee01ec3a92d59a90502171ed46b79730bdac32944d492ef3e876ee46

Observation 03940131-ba77-44a6-890b-71f4e2ba49bd · outbound

This paper cites Acta Math., 113:89–152, 1965.

Concavity principles for weighted marginals Acta Math., 113:89–152, 1965

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.706239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.038173Z digest=sha256:dcc250d60cb0028bd5c2cd81143725a4f3be1ce2f6cb0bde4fc720c039f15904

Observation 2d74fffe-3927-4dcf-9337-12db48f9888e · outbound

This paper cites Birkh¨ auser Boston, Inc., Boston, MA, 1994.

Concavity principles for weighted marginals Birkh¨ auser Boston, Inc., Boston, MA, 1994

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.694599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.042656Z digest=sha256:1d55fe7f5c1de1ed1309c421f8b6bcfb06a676515edef822fb1f74b4bf7500e3

Observation 781c152c-39e1-4855-9af2-32e09202fe9d · outbound

This paper cites Kolesnikov, and Galyna V.

Concavity principles for weighted marginals Kolesnikov, and Galyna V

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.681636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.047841Z digest=sha256:887f9fee8a47a2e76ebec2e02363a05bb99ca4f1050c1a6b3a411c5fa233f4d0

Observation 989de705-329f-454c-83d4-dde9f204dbb7 · outbound

This paper cites Ivaki and Emanuel Milman.

Concavity principles for weighted marginals Ivaki and Emanuel Milman

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.670512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.052355Z digest=sha256:601d2f2547198f464463368a0d57a23f96b08380cd5213a6f79c66d13cf7cc9f

Observation 3b9b8135-7c34-46b8-aaaa-ef7f13377642 · outbound

This paper cites Kolesnikov and Galyna V.

Concavity principles for weighted marginals Kolesnikov and Galyna V

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.659313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.057273Z digest=sha256:5756d533b3e55ae71b5fb63961b5bb6951280dc7e3346b91a33de06533d60968

Observation 1d733881-0d0b-40ba-b185-3d87a0463fe0 · outbound

This paper cites Kolesnikov and Galyna V.

Concavity principles for weighted marginals Kolesnikov and Galyna V

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.647890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.061759Z digest=sha256:1c603db430844036b321fce01c0e13770157c031b5aeb1569c54385b4e8691b0

Observation e0a9bd02-1835-4b14-9bbd-50a39d5d1f6f · outbound

This paper cites Kolesnikov and Emanuel Milman.

Concavity principles for weighted marginals Kolesnikov and Emanuel Milman

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.635083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.066039Z digest=sha256:9c4ffd938bbaef5f4adc2c9377126cbafb15e7b06e64be520053439bb44c4119

Observation c2f162b3-56e7-4f2e-a2bd-654bb306a002 · outbound

This paper cites Kolesnikov and Emanuel Milman.

Concavity principles for weighted marginals Kolesnikov and Emanuel Milman

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.621287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.070984Z digest=sha256:69e62cf18f832ba0d9f9d1de63e714a35d418788f06b4e172bb99e0c5e066ede

Observation 9c6093a0-ace2-4e1e-9c8a-d42593446b0f · outbound

This paper cites Kolesnikov and Emanuel Milman.

Concavity principles for weighted marginals Kolesnikov and Emanuel Milman

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.606284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.075720Z digest=sha256:e6f02fa9ee291ff4f865abb09704c9d1352b2ae0f2519a5ae6f43da7f436293f

Observation 3e2f110f-c56d-4be0-a097-85bff3beba7f · outbound

This paper cites On some inequalities for Gaussian measures.

Concavity principles for weighted marginals On some inequalities for Gaussian measures

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.592693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.083879Z digest=sha256:e9a7bbf10aa86fb1f7f22dd1916d4866291d803edf2348f77919f88247b8d459

Observation 8fafcd8f-14e5-426b-a07d-b765a46e784e · outbound

This paper cites On a certain converse of H¨ older’s inequality.

Concavity principles for weighted marginals On a certain converse of H¨ older’s inequality

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.577689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.088736Z digest=sha256:7eae3691174e3d54be848bb2eb38a0f1acbd6a7b287e1fa709a3ead5a6f28512

Observation 8486b843-d4c0-4fa0-94c1-30484b05d09c · outbound

This paper cites an unresolved cited work.

Concavity principles for weighted marginals Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:47.564542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.094305Z digest=sha256:4eb58772d51d100973a3c36097a06f49da61cb4dd4a5a5479214adf8e3a0ea68

Observation caeef930-8bec-4ddc-8df5-d4d35bd20333 · outbound

This paper cites On the Brunn-Minkowski inequal- ity for general measures with applications to new isoperimetric-type inequalities.

Concavity principles for weighted marginals On the Brunn-Minkowski inequal- ity for general measures with applications to new isoperimetric-type inequalities

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.552717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.099522Z digest=sha256:855a2f483d42ea2c6c9adbbb4d2109e0a350cc2e7aa84d17498c2316ddfa8585

Observation 5a9ef1e6-30bc-4e76-90e2-7e7d89319fc7 · outbound

This paper cites Livshyts.

Concavity principles for weighted marginals Livshyts

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.540431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.104464Z digest=sha256:56c1165a17816a6672658122cf9a1a169c9b2bb711ec27119419d2ada092fbc0

Observation 60b6cb24-16a2-42ff-9796-e34dfe7c3205 · outbound

This paper cites Livshyts.

Concavity principles for weighted marginals Livshyts

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.529230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.109380Z digest=sha256:50fb14c7ebdce338a91d378b6fd83061967b77775cfdb26ff8d75752f4b86d41

Observation 962a1e84-724b-4ac4-bb14-2d440d34f806 · outbound

This paper cites Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians.

Concavity principles for weighted marginals Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.517310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.113702Z digest=sha256:e0746da071e3945b257fb9ee582978016eb297a71c5b58097328a6ac2c85b09d

Observation 14f5aae8-8c2f-4520-8c6a-ff939aa21921 · outbound

This paper cites On the improvement of concavity of convex measures.

Concavity principles for weighted marginals On the improvement of concavity of convex measures

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.503920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.118010Z digest=sha256:c128806ba9fbb004b5ebadfd652c1dcf4af7e9c0b531b82603dddd8d2400b928

Observation 909feccd-191f-433f-87b3-5bb3ebfc3a23 · outbound

This paper cites Some deviation inequalities.

Concavity principles for weighted marginals Some deviation inequalities

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.489803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.122544Z digest=sha256:6412985e7994625f1888f7e520b4853cc8a4b9c9a26616b89eab8d9dcad1dfe2

Observation f16e4660-22c3-49e1-9c74-f7a39901c4af · outbound

This paper cites Centro-Affine Differential Geometry and the Log-Minkowski Problem.

Concavity principles for weighted marginals Centro-Affine Differential Geometry and the Log-Minkowski Problem

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-15T19:26:47.128580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:26:47.128580Z digest=sha256:dd0669d581a3ec8cc4bf85a4591838b2b0e0a1467134dbbd463ff8eb62793f1e

Observation 705d4786-75f5-4264-a6f7-f6c3b1214fb8 · outbound

This paper cites A note on a Brunn-Minkowski inequality for the Gaussian measure.

Concavity principles for weighted marginals A note on a Brunn-Minkowski inequality for the Gaussian measure

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.477374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.133378Z digest=sha256:31bd56ab3a0616f28b2f9a73ec358945a3481eec470ca306e5ae332a6d5ebaaf

Observation 8e5f70c7-213c-4b83-9c59-17a281230e86 · outbound

This paper cites Dimensional variance inequalities of Brascamp-Lieb type and a local approach to dimensional Pr´ ekopa’s theorem.J.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.462533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.137579Z digest=sha256:35f4af7dfc930cbf7f3f8e81a4a8dcbf670a57a346adea77eeb852f8658e0a15

Observation e12e392d-1c6f-4492-a959-0a368574aa4e · outbound

This paper cites A local proof of the dimensional Pr´ ekopa’s theorem.

Concavity principles for weighted marginals A local proof of the dimensional Pr´ ekopa’s theorem

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.450859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.141989Z digest=sha256:102980e082cf2b15ab275486a50250c7a8d3929c487e1fa98c2d77bc88a23d10

Observation 41dbc8ce-43e6-4689-aa9a-f00bd62177ec · outbound

This paper cites Logarithmic concave measures with application to stochastic programming.

Concavity principles for weighted marginals Logarithmic concave measures with application to stochastic programming

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.439041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.145953Z digest=sha256:80975bf134b594626acd941a9fe1ec5273694540a84c04e5947935c048007b65

Observation d07c418f-2d01-4460-b398-0b8c001cd271 · outbound

This paper cites On logarithmic concave measures and functions.Acta Sci.

Concavity principles for weighted marginals On logarithmic concave measures and functions.Acta Sci

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.427586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.150039Z digest=sha256:d6b4433c1246113fcb34449177d5e783b3dfdf3084ce7e1e0b6ff3cc86b0d40d

Observation 031fa56b-2df4-48d1-a690-6ef5c7d41175 · outbound

This paper cites an unresolved cited work.

Concavity principles for weighted marginals Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:26:47.414532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.154530Z digest=sha256:5564748b472636d3445c66d4bca6721eb0f5c061416c7013cf337f4239c999f1

Observation e64762ce-1a92-4c62-b6dd-bc36a1681ad8 · outbound

This paper cites On convexity of measures.

Concavity principles for weighted marginals On convexity of measures

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.400743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.158714Z digest=sha256:bf4ab0435f9deab05a4564ee847178dabbd632aba693d1ee1761a9d7c8abd4ba

Observation c27bfeb2-5aac-4f38-af9e-2c323d263b24 · outbound

This paper cites On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measures.

Concavity principles for weighted marginals On Lp-Brunn-Minkowski type and Lp-isoperimetric type inequalities for measures

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.388368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.162831Z digest=sha256:e66b0901c608541d12f7e53c5fddaad3cc73cbea2231131c66b3d53121522434

Observation 15bfad10-2afd-4e2b-8c80-56321dae4bfd · outbound

This paper cites Combination and mean width rearrangements of solutions to elliptic equations in convex sets.

Concavity principles for weighted marginals Combination and mean width rearrangements of solutions to elliptic equations in convex sets

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.375561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.167080Z digest=sha256:03aac72fcd814bd567f701e45182402a89fc05938ccdc20cf12d372a75d7e66c

Observation 0045ce84-dfc8-454b-acfc-b6704cc15586 · outbound

This paper cites More on logarithmic sums of convex bodies.

Concavity principles for weighted marginals More on logarithmic sums of convex bodies

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:26:47.363218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-15T19:26:47.171005Z digest=sha256:230bb74d4e8771170cb4bf5483f9f77f7a550a982a3fcb66077e8e50da2b954c

Pith citing papers

Observation d326ea18-a9b5-4eee-8ac8-1eaaf6a1fdd7 · inbound

Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures cites this paper.

Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures Concavity principles for weighted marginals

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-11T23:01:19.492451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-08T01:54:26.371870Z digest=sha256:800ad7a9038d0824016abb1784593bba98a92f7023364ce6d053607fcdbe49e5

Observation 8fc7d628-5eab-4d68-8c5b-4233f9c5cf5b · inbound

Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures cites this paper.

Functional perimeter and the dimensional Brunn-Minkowski inequality for log-concave measures Concavity principles for weighted marginals

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-07-01T00:35:10.370739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-01T00:28:55.545873Z digest=sha256:4f65a38ae2c51a8d011e58a80c0e2c1f1a7ab7bc0a14ef9de2159e28e2fcd2fe

Observation 9053fec2-a803-4880-b028-858d75d4f68c · inbound

$L_p$ Brunn-Minkowski inequality for weighted dual quermassintegrals cites this paper.

$L_p$ Brunn-Minkowski inequality for weighted dual quermassintegrals Concavity principles for weighted marginals

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-02T02:26:26.077573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-02T02:17:18.367827Z digest=sha256:0b0f22cc08433c19542c85e7d0922460fe46d58a105f1bc7fe00477133b39062

Observation edc32c59-7273-4911-8ccf-13bf780fff55 · inbound

$L_p$ Brunn-Minkowski inequality for weighted dual quermassintegrals cites this paper.

$L_p$ Brunn-Minkowski inequality for weighted dual quermassintegrals Concavity principles for weighted marginals

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-12T09:27:39.693979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T09:27:39.693979Z digest=sha256:680ae46af8924b0b40f4b900647f0f1328d530f5e59f9d7a431d8d26b5d60368

Observation 18ffee69-74f9-4695-9554-177ecdb1878f · inbound

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics cites this paper.

Sharp Poincar\'e Interpolation Along Wasserstein Geodesics Concavity principles for weighted marginals

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-14T09:23:43.819884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T09:23:43.819884Z digest=sha256:f9d11ab9642efaf254fc923c50902d15f2d401e2b827473d1d906a6eab9a6a45

Observation dd0e6126-879d-4e91-9654-b9755c8b3277 · inbound

The Faber-Krahn position of convex bodies and Gaussian measure inequalities cites this paper.

The Faber-Krahn position of convex bodies and Gaussian measure inequalities Concavity principles for weighted marginals

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-01T07:22:01.916958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:22:01.916958Z digest=sha256:530eaf8dd0ff09f323d3a6d07494a402f587bd886ffd64c931b62a60bf219f7d