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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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.718093Z digest=sha256:cc28b712055d0ac515bf36c390607ac7f17b5818d2d12ccf6ee60df029808644

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
raw_fallback, observed 2026-08-10T21:34:44.622101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.724550Z digest=sha256:2cac51b1afe9cd88127ca05059832d28fb80f78974d6eb202490e877d5ceb203

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.729886Z digest=sha256:c766f6b8e2f9638ad8649b403c375510dbbcffbeabfc938dbda2e809bfe8db23

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.735759Z digest=sha256:bea51d233dc11fba2799ce670c5e240fa8eb90c6f8361f8781e86a2e2ec9c47a

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.741107Z digest=sha256:9568456b55b478516f217050ff49f9e2ec34f4457e6fcf888013f3f95dff7a9c

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.746528Z digest=sha256:d0c7589afbd55d8cd839db0961a303df8668d89018dd15e6cafe5300984a276f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.752645Z digest=sha256:61d6aa295dce124074c5c2da6a791293ffac9935bef16db79190f139c17b973f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.757423Z digest=sha256:cb5be7090627df018166f82fbe9ddd68858295766743248909b83f4af62a16b6

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.762433Z digest=sha256:21f7df968ded2d17de8cde2ab9ec3e2f2df256aa25ebb28a722d12bf36872f21

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.767633Z digest=sha256:cb609c4c9c9c1a2332538e59d81b630ad71ca55fdb7fc2448e85f6db5dfb47f7

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.773017Z digest=sha256:51d4d9de95586b95935f74ac4ac0593a1bcc1c3dd17063d61353c616ae45ebc2

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.778718Z digest=sha256:4a5a9431744e88eeeea08e676796703d514b6870869402ed0b4a0a1e55b18d94

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.783996Z digest=sha256:6bc3ebda60a9a49bb281b0e96decad6e579b9bcb37c1113fe4388f697957e3af

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.789006Z digest=sha256:5e30292abf4922c59ebfff0882aaca74b36b46dd6bb3c6b735369b203d207921

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.793948Z digest=sha256:7691dc66e73ae0b983c1553ca6bf68f58e5e70b26debc7a1f7b7983158f8b552

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.798834Z digest=sha256:c33a2cd9360126aef7a98cfeb756fdc60d859a0190685674b4343608974ab4a3

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.803665Z digest=sha256:60c53cc72398c1f80e539c504ebe0c607efc4fee96b1f7a202d3ee015312fb07

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.808414Z digest=sha256:a809a680a562353475d4bdf0b8a3fcf187139ab876c41ed193c97653e9720c29

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.813065Z digest=sha256:d34a630d54421fa340ca65c30aa7786a5c760892effd7670464214ace047b72e

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.819211Z digest=sha256:6fcfaafe11e0b6bd84691c8e11957d61ff33090dc1343932969ba46639705e94

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.823774Z digest=sha256:f2e5348d071557bc01f69cf32a78cd8ff1c34e6ed960fff06225d13403569372

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.828332Z digest=sha256:7d82d8779eedb08e13bc52db747d169baa57df201e37f984fab965fa29ee5cd5

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.833303Z digest=sha256:0ccc2ee878b594e23f31b5b81b107e3cb9d3feb3bb04ad9bb451395b69e1d179

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.838199Z digest=sha256:2fe8a4106c6d9ac151b08c8e8be2d2a3c07e6f5ec0eebe6617aa299481362c19

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.853994Z digest=sha256:151316a09345a27331582b533ac93a062578b330b6ed0feb130cb52feb54a1ae

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.859421Z digest=sha256:136c6b827a72b6016d649b8fd95d0b0d14b2248cf5d3036f900e5b43377839f7

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.864560Z digest=sha256:2165f784cd8f76501bebe737291adbd623c3cf929ce55e15d18431ee26293d94

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.869848Z digest=sha256:6892a46ec9857e0f1ee1a10c574c4e9f4a22f8548bdcbfef48568bc925c9e58f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.874640Z digest=sha256:b9be3ba080185de9d1199a55f75c65845eeadaa6b9d7f8cf1755ec4c7ba1f83e

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.879481Z digest=sha256:9a3d7b46404f9ca7eb5614557fe546b6259ff57543d939bc94ecf5f1ee8e3448

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
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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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.884613Z digest=sha256:8f52d65e5c70389415e48a3363d3e9d7de785a5b88110eda00f9a5d4820ecf8d

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.889463Z digest=sha256:18402820328dbb2530ccbcbf882fd8e5e8fa8f70e1b8df533700fa1f2620b8af

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.894151Z digest=sha256:188c7d0bde13711f10e560dcf93d4376e5b9ef5f82f56b8e8a27837aa55d2c5e

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.899645Z digest=sha256:5425bcce31c927531aa0364614fc231a2cc7cebd31bd0279a297da698554c305

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.904661Z digest=sha256:fe1e0780cc24e3c27347160e06a4a4ba7016962a435ba38efe2dd68e3f9ddd08

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.909725Z digest=sha256:ba72a2f03c782697160e33b253e0a5c66b08e96adfac86f446f8e91b9e204d8a

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-10T21:34:43.915591Z digest=sha256:a08d8fa5e7b4ce79e18899e0943fe5e8064c986374e2337f8f1067c94cc1cac6

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-19T04:22:16.177343Z digest=sha256:2d22f706e1c5252d1cf4656bed6ab3dd057e54a59550398f9b5ba6dbe186bf03

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-06-27T10:55:38.303291Z digest=sha256:b430d4822f3998295023863b966bc67a0e50302acbd18f1045c763bc9a228197

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