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Paper Citation Record · LEDGER

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 7 inbound Pith citation observations for arXiv:2501.04656.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.04656 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:34:43.920963Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:56:26.221531Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T08:17:45.178501Z

Reference resolution

39 of 39 outbound references displayed

  • verified exact4
  • verified fuzzy32
  • unresolved3
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61b65d37-9300-4c96-ad2c-503cbe856ba0 · outbound

This paper cites Stability of the pr \'e kopa--leindler inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Stability of the pr \'e kopa--leindler inequality

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.638481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.718093Z digest=sha256:5ac17aedde772373754a547399287f336623b3dff4062f3b55f4053bdcb1619a

Observation 70c5970b-61fa-475a-a6f3-cae859ce2890 · outbound

This paper cites o r \"o czky. Stability of some versions of the Pr \'e kopa--Leindler inequality. Monatshefte f \.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities o r \"o czky. Stability of some versions of the Pr \'e kopa--Leindler inequality. Monatshefte f \

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.724550Z digest=sha256:8c9e20d72b36a11627c4b20d608f826a8717a473774d688ada0499e38e81d894

Observation 13580aa7-39a6-4116-a0e9-e0c33cd67410 · outbound

This paper cites Stability of the Pr \'e kopa-Leindler inequality for log-concave functions.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Stability of the Pr \'e kopa-Leindler inequality for log-concave functions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.605084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.729886Z digest=sha256:12fb7d73e286607a7a81636a10608941fc230ac18e902acd3c95ee39b950613a

Observation c2e870a8-91c5-4467-8984-b7da182430ff · outbound

This paper cites Lower bounds for the Pr \'e kopa-Leindler deficit by some distances modulo translations.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Lower bounds for the Pr \'e kopa-Leindler deficit by some distances modulo translations

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.587397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.735759Z digest=sha256:5ecf3c686b43dde26e1d1735ece9fe357bf0b2eb242b62d4a61439b26c34d167

Observation 2c8db365-0af3-4281-9fff-c6f5ffeb8852 · outbound

This paper cites A quantitative stability result for the Pr \'e kopa--Leindler inequality for arbitrary measurable functions.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities A quantitative stability result for the Pr \'e kopa--Leindler inequality for arbitrary measurable functions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.568492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.741107Z digest=sha256:59e09f5892c69e33fd1009df24af9da1c8631780cb683c5cba5352b3b6641b66

Observation 765a6a69-a1f9-4084-ba78-c57e9e73135c · outbound

This paper cites Robustness of the G aussian concentration inequality and the B runn- M inkowski inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Robustness of the G aussian concentration inequality and the B runn- M inkowski inequality

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.549002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.746528Z digest=sha256:38f1d66dfabe46386a013a8cfa7cf16409899d967e501945f2bb480d1f337f0b

Observation 39d8c5b2-d932-4145-a338-74ba86ad9192 · outbound

This paper cites Balogh and Alexandru Kristály.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Balogh and Alexandru Kristály

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.532346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.752645Z digest=sha256:28eb926484e5a77a966f0e24f45d1162886e4dd4a3aa083cc025b168eda1e1f4

Observation 4a403af4-360d-4aa9-aa1c-f09f984ff55e · outbound

This paper cites On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.516248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.757423Z digest=sha256:2bb97033a431c59aa3f8556757ebc107bfe5daa6e96b2168783f55f64fb20f18

Observation 6572df99-806a-4b68-bbe7-005ae2409788 · outbound

This paper cites an unresolved cited work.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T21:34:44.499607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.762433Z digest=sha256:abfcfb9dcff9c1574720b71823d562a61906797a9c052229873a30ff588e2e4e

Observation 14d7d0cb-727a-48a7-8c77-2bd98ccebe08 · outbound

This paper cites Near Equality in the Brunn-Minkowski Inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Near Equality in the Brunn-Minkowski Inequality

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:34:44.079232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.767633Z digest=sha256:94420f0f8a4fd6e5c0cf29232d1e9c7621d1ca03fc3c7c01c0cb1e65a53185e7

Observation 6ad20cff-35f9-42d3-b174-97f993ec564a · outbound

This paper cites Near equality in the two-dimensional Brunn-Minkowski inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Near equality in the two-dimensional Brunn-Minkowski inequality

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:34:44.055925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.773017Z digest=sha256:29622eee98b98cbc3be089eaefae00d55ae1cc01660264212dab71d9134c2d00

Observation a040be11-aacc-4dc2-a59e-66d7fddc89c2 · outbound

This paper cites Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to G aussian concentration and finite range non-local isoperimetry.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Stability for the Brunn-Minkowski and Riesz rearrangement inequalities, with applications to G aussian concentration and finite range non-local isoperimetry

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.482836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.778718Z digest=sha256:9f81640c8df37c215c46846a77e448391416d4a79ecea425b43d90e661ffcd08

Observation 6ce1a41c-6d0f-4384-a2c7-589942eaf6c2 · outbound

This paper cites Crit \`e res de convexit \'e et in \'e galit \'e s int \'e grales.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Crit \`e res de convexit \'e et in \'e galit \'e s int \'e grales

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.465973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.783996Z digest=sha256:1df239aacaa869cd449eda27e4e473f07dcfd1acdfb4e00a5dd5ef6a6c7c0035

Observation 002d9382-4bd5-4f1e-b859-8c9047fa3958 · outbound

This paper cites Dimensionality and the stability of the Brunn--Minkowski inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Dimensionality and the stability of the Brunn--Minkowski inequality

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.448209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.789006Z digest=sha256:7992cc786f5e5e50f36e4f640a5b23c53fef752502f2ff122a4bbec7de48b34d

Observation fc35167c-117d-44c6-bbdf-71653cd764ae · outbound

This paper cites Stability results for the Brunn--Minkowski inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Stability results for the Brunn--Minkowski inequality

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.430852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.793948Z digest=sha256:750f7417c67658db2bc1bd16d70ed5b739a5951a928280e447e04a1bee6b8bbd

Observation 36372483-19a3-4617-92b5-3898c1f9b017 · outbound

This paper cites Quantitative stability for sumsets in R ^n.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Quantitative stability for sumsets in R ^n

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.414653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.798834Z digest=sha256:9b6d0a4ad6ea8bab98a6edd9c686fbbb92a5a64dd3ce97a9fd00ab0129b0734e

Observation 30ca61a4-a6c0-4f33-9d3b-05a610d61530 · outbound

This paper cites Quantitative stability for the Brunn--Minkowski inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Quantitative stability for the Brunn--Minkowski inequality

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.397999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.803665Z digest=sha256:ecd7e4987c022ea3916126465604e87196ab1e0ac8537708597d926bc287c010

Observation 0a7bdbf0-8b8e-4bc5-b617-3602b46745e7 · outbound

This paper cites A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.381422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.808414Z digest=sha256:5749140c91a49800dde45549ae054988ff8253774e94d684723e7533d3d8626c

Observation 914a272a-0a16-44bf-b1a7-d0aed4bf6c5e · outbound

This paper cites The sharp quantitative E uclidean concentration inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities The sharp quantitative E uclidean concentration inequality

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.364399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.813065Z digest=sha256:587d916c4e8d440f004639e62156a937e4e5bf6f0d24a2925d81c09c2d56c19e

Observation 1e845cd6-a9b1-4bd2-9e29-c3f056f542a7 · outbound

This paper cites The sharp quantitative isoperimetric inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities The sharp quantitative isoperimetric inequality

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.348198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.819211Z digest=sha256:b4a71116a7fbfd2610e9c287198a903595f4c1f0177f91bf11094b81c406d8d0

Observation f1214e4a-9ec3-4949-a619-8dc478d2fea8 · outbound

This paper cites A refined B runn- M inkowski inequality for convex sets.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities A refined B runn- M inkowski inequality for convex sets

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.331081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.823774Z digest=sha256:5456e4b3f7b0b099f01d76117f45d80690571a7cb806a83207a4ffe52cab86e0

Observation b7f526c3-422d-487b-ae5f-d0c41ae730df · outbound

This paper cites A mass transportation approach to quantitative isoperimetric inequalities.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities A mass transportation approach to quantitative isoperimetric inequalities

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.313232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.828332Z digest=sha256:1403a14924e08c7f05c38c9a5d1792d30a8f6ef7896468d2ae54881a620c1886

Observation aa1be0c9-75c3-4f75-8d7b-195c76e3d4a0 · outbound

This paper cites A mass transportation approach to quantitative isoperimetric inequalities.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities A mass transportation approach to quantitative isoperimetric inequalities

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.296026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.833303Z digest=sha256:c3935257adbeb85ce4c0fceee864ea7696f238466a59d5f9911e8ec9d7426e09

Observation a2ce1852-94c8-444b-905d-9811c27f8033 · outbound

This paper cites Improved stability versions of the Pr\'ekopa-Leindler inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Improved stability versions of the Pr\'ekopa-Leindler inequality

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:34:44.030852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.838199Z digest=sha256:439f8a3eb769983940f527776f5136eeec66fd95614a2d528f32285581b0f88e

Observation 5c7d8d3f-7d2b-4151-9d06-585ae6166e67 · outbound

This paper cites Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-10T21:34:43.849117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T21:34:43.849117Z digest=sha256:e7e5a83861d79862f712350bf53519496ba0a2a074300b07ba1529597d88a474

Observation ef662626-6c4c-47c6-b845-5e847de934f9 · outbound

This paper cites The Brunn-Minkowski inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities The Brunn-Minkowski inequality

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.280489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.853994Z digest=sha256:30c1c5c0cea1dec70bd1d3265c7346cbbc9c2785d99e28711c76f692985cc8c6

Observation 3324cac8-c7fb-4d26-bd9b-59a199ed3fec · outbound

This paper cites Quantitative Borell-Brascamp-Lieb inequalities for power concave functions.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Quantitative Borell-Brascamp-Lieb inequalities for power concave functions

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.263979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.859421Z digest=sha256:ad91b7d0fd3863854472e061f9a2bfa5e7175b6af01bcd88521217a8424e6ef2

Observation 7d80ac2b-b509-4dbc-a85c-8fbbd503dcb5 · outbound

This paper cites Locality in Sumsets.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Locality in Sumsets

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-10T21:34:43.969405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.864560Z digest=sha256:daff119a9839ff049999be5ecdae4f1411521a4f2c3bfa84bc0104401edbf371

Observation 40c1ccf0-f186-46cf-a00f-312d170b394d · outbound

This paper cites The sharp doubling threshold for approximate convexity.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities The sharp doubling threshold for approximate convexity

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.247475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.869848Z digest=sha256:533b9160153d764d8a24a9f50e7e78b94d9f9cfe7b924251b88e8bb1878dfcc3

Observation 553b20f2-8b81-4caa-947a-3e8b1c77469f · outbound

This paper cites Sharp stability of Brunn--Minkowski for homothetic regions.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Sharp stability of Brunn--Minkowski for homothetic regions

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.230297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.874640Z digest=sha256:4107692a61bef7ed9df38ac9ff8584bfabd7ba895dcde8b5051400fde5234795

Observation 3eb52643-1a3c-4a20-bfc3-e40813950d98 · outbound

This paper cites Sharp L^1 I nequalities for S up- C onvolution.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Sharp L^1 I nequalities for S up- C onvolution

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.213736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.879481Z digest=sha256:6c1f1a6303fcea4733902ca08e1ea553223090ea090f160df05b3b9c74173c96

Observation e8ba02a1-e5de-4a62-a5d3-e454e733936c · outbound

This paper cites Sharp quantitative stability of the planar Brunn--Minkowski inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Sharp quantitative stability of the planar Brunn--Minkowski inequality

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.196759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.884613Z digest=sha256:09d73e8c29a00f181c67f6e844acebc9661fd9b3b9eaac71e6408f0d2d91f40f

Observation 347d7f2f-488e-46a6-b491-eaa92cd65035 · outbound

This paper cites Ein beweis des fixpunktsatzes f \"u r n -dimensionale simplexe (in G erman).

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Ein beweis des fixpunktsatzes f \"u r n -dimensionale simplexe (in G erman)

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.179855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.889463Z digest=sha256:886de4b60c7cd1f707d4be2e0a8ab5afb7eb32133d9f0cdb24761f89ae534f0d

Observation f2a1a342-7f74-40bd-8149-9416df017275 · outbound

This paper cites Stability for Borell-Brascamp-Lieb inequalities.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Stability for Borell-Brascamp-Lieb inequalities

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.162983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.894151Z digest=sha256:7238e297136017ad66c1e21129bc242a832c45304423fc18b63ef460aa717ab6

Observation 1bc22f89-23c7-4a7b-8da5-e74ac26db303 · outbound

This paper cites Diameter of sets and measure of sumsets.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Diameter of sets and measure of sumsets

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.146982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.899645Z digest=sha256:12f6919b6e81025211222d2fd1313702c9e4e1e81b4b7f65ca62f452b8dc6d7f

Observation bc3802db-5c57-4bed-b4e8-dbebfc381353 · outbound

This paper cites The Brunn--Minkowski inequality and nonconvex sets.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities The Brunn--Minkowski inequality and nonconvex sets

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.129894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.904661Z digest=sha256:b6557a23466bfd08478312d9911d5304b5bfe98d87549c90e634ccd94ab57eb4

Observation 913901cc-e473-4e6d-9c73-f3af6cf798c9 · outbound

This paper cites Additive combinatorics and geometry of numbers.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Additive combinatorics and geometry of numbers

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.113034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.909725Z digest=sha256:2f9544b9b8d88c88b5451ce809372acdc5559538fbfb672e87b9048a9756c6bf

Observation a9273cbd-226d-4d5b-9c77-81c312ef680c · outbound

This paper cites Convex bodies: the Brunn--Minkowski theory , volume 151.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Convex bodies: the Brunn--Minkowski theory , volume 151

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T21:34:44.096097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.915591Z digest=sha256:c95eb96edbba20dff7b499541b25b8eeb90f61b7861d57bff06597d26f5d6099

Observation 4f5a4fdf-cdca-475c-ba90-d8889d2feed2 · outbound

This paper cites Sharp quantitative stability of the Brunn-Minkowski inequality.

Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities Sharp quantitative stability of the Brunn-Minkowski inequality

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-10T21:34:43.920963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T21:34:43.920963Z digest=sha256:b7d32c8553c025e725aeb36a370e9f1a04057c2ae26a80a6f2d7f1184141066a

Pith citing papers

Observation 5bcdcf06-be3d-4a8e-a3c3-34eccab9b544 · inbound

Equality in Liakopoulos's generalized dual Loomis-Whitney inequality via Barthe's Reverse Brascamp-Lieb inequality cites this paper.

Equality in Liakopoulos's generalized dual Loomis-Whitney inequality via Barthe's Reverse Brascamp-Lieb inequality Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 32

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:22:58.488118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-19T04:22:16.177343Z digest=sha256:d4a9399a109e6aa89c9cda37979f06978259255114bc5f402cc363d1ab515d4e

Observation 3723153b-a842-43e6-b064-0fcafe5f5b67 · inbound

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities cites this paper.

Sharp stability in hypercontractivity estimates and logarithmic Sobolev inequalities Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-15T16:56:26.221531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:56:26.221531Z digest=sha256:3d9246e0a105e0c1a0563809082d6ba741df4bed786880f6867b778ffe058b6a

Observation ec031df7-e288-4074-b50b-aa068db2c4ab · inbound

Quantitative stability for the Brascamp-Lieb inequality and moment measures cites this paper.

Quantitative stability for the Brascamp-Lieb inequality and moment measures Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-03T19:55:14.400939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T19:55:14.400939Z digest=sha256:aacd03176cf670b4960a244f70388f111f629fafa32eb6b0f9ea4b08bc4f4d27

Observation e6d1f648-34dd-4702-b7ed-829c76fb95e1 · inbound

On Ball's conjectured Santal\'o type inequality cites this paper.

On Ball's conjectured Santal\'o type inequality Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-02T21:33:39.898214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:33:39.898214Z digest=sha256:d5aee251f6366da79e66854a6c1fc0207ad3b46105c4de4fef767afebff48064

Observation 9456c252-b603-4c27-920e-51d23ea8fb8b · inbound

The sharp threshold for Hausdorff convexification under Minkowski addition cites this paper.

The sharp threshold for Hausdorff convexification under Minkowski addition Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 8

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T08:17:45.179925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-06-27T10:55:38.303291Z digest=sha256:9e9b5a9841b8c31dfeb52d8edb21db53f897dced545e98ba66a7a3013be2e852

Observation d48142a1-83c0-43c2-a933-3871c5d1f7ae · inbound

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions cites this paper.

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-30T12:57:39.522710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T12:57:39.522710Z digest=sha256:89672cb06a70b7644e40fc3f41d564a2e261dc9c8629445913e510378e6fb4cb

Observation b6db2c7c-7bda-422d-8294-cd1f9e8829f8 · inbound

Quantitative stability for Bakry--\'Emery log-Sobolev and Talagrand inequalities cites this paper.

Quantitative stability for Bakry--\'Emery log-Sobolev and Talagrand inequalities Sharp Quantitative Stability for the Pr\'ekopa-Leindler and Borell-Brascamp-Lieb Inequalities

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-12T00:46:47.479000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:46:47.479000Z digest=sha256:4167bd6cff634e1ce966b9a09f82344ebddf57eb3cc760a50f79da0cb75ab677