Paper Citation Record · LEDGER

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow

As of 19 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2411.10439.

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pith.paper-citation-record.v1
2411.10439 v2

Coverage vector

measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T19:43:56.071245Z

measured 34 of 34 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact3
verified fuzzy23
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External citation measurements

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Outbound references

Observation b2e76082-f8d5-487d-950c-d6973295125a · outbound

This paper cites Artstein, B.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Artstein, B

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.481776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2d6c17b4-271c-4938-af5c-af5f1d6d2426 · outbound

This paper cites Ball, Logarithmically concave functions and sections of convex s ets in Rn, Studia Math.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Ball, Logarithmically concave functions and sections of convex s ets in Rn, Studia Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.454571Z

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Observation a0a77f51-48da-4926-aa39-8cf1e6f023bf · outbound

This paper cites Berndtsson, V.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Berndtsson, V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.423272Z

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Observation 4b7a4fc7-697a-4aaa-b992-de84e3991faa · outbound

This paper cites B/suppress locki,On Nazarov’s complex analytic approach to the Mahler conjec ture and the Bourgain-Milman inequality, in: Complex Analysis and Geometry (F.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow B/suppress locki,On Nazarov’s complex analytic approach to the Mahler conjec ture and the Bourgain-Milman inequality, in: Complex Analysis and Geometry (F

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.401806Z

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Observation cd7690be-20b1-4aa1-8cf1-eb807f617a1d · outbound

This paper cites Brascamp, E.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Brascamp, E

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.372934Z

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Observation 164b0550-ccd1-4a06-86ce-5096a305c2e2 · outbound

This paper cites Brazitikos, A.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Brazitikos, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.342606Z

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Observation 4c2331b9-5ff1-4e79-9de6-f8fd7664cf90 · outbound

This paper cites On a Santal\'o point for Nakamura-Tsuji's Laplace transform inequality.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow On a Santal\'o point for Nakamura-Tsuji's Laplace transform inequality

Reference 7

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T19:43:56.425667Z

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Observation ce15f522-c7e5-4daa-b29f-714c05e003a6 · outbound

This paper cites Duality and Heat flow.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Duality and Heat flow

Reference 8

Resolution: metadata mismatch; local_arxiv, observed 2026-08-12T19:43:56.349883Z

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Observation 4ba610ee-2c45-48ae-baca-9a32b61e5589 · outbound

This paper cites an unresolved cited work.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:43:57.308133Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5cf36c21-2009-4eea-8fc7-22656e9dbe49 · outbound

This paper cites Fradelizi, M.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Fradelizi, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.274516Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a1ed13df-c24c-4697-8d48-bd8e397a1e5c · outbound

This paper cites Fradelizi, M.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Fradelizi, M

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.251748Z

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Observation bda67a18-6ffc-4bf6-86e2-7d9218fcab24 · outbound

This paper cites an unresolved cited work.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:43:57.228081Z

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Observation 7acd8644-ae32-4a82-be10-6d5306262e62 · outbound

This paper cites an unresolved cited work.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:43:57.204164Z

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Observation 2c7d5836-e3c8-4050-98dd-ea15a7f84519 · outbound

This paper cites an unresolved cited work.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:43:57.184205Z

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Observation 5c8f1db4-2102-45bc-bf03-ed53b7562f26 · outbound

This paper cites an unresolved cited work.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:43:57.131603Z

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Observation 5c6d37d4-a9cd-4a4e-976c-50977bd1ae19 · outbound

This paper cites Bounds for an integral of the modified Bessel function of the first kind and expressions involving it.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Bounds for an integral of the modified Bessel function of the first kind and expressions involving it

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:43:56.293848Z

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Observation 0b2737e4-7326-4700-965b-3917f60d4751 · outbound

This paper cites Lieberman, Second Order Parabolic Diﬀerential equations , revised edition, World Scientiﬁc, 1996.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Lieberman, Second Order Parabolic Diﬀerential equations , revised edition, World Scientiﬁc, 1996

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.084901Z

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Observation 7935925b-314e-4269-9d59-4dcfbdc9f3dc · outbound

This paper cites Mahler, Ein Minimalproblem f¨ ur konvexe Polygone, Mathematica Zutphen B7 (1939), pp.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Mahler, Ein Minimalproblem f¨ ur konvexe Polygone, Mathematica Zutphen B7 (1939), pp

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.050794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9a064059-908e-477d-a36d-31e5f5782519 · outbound

This paper cites Mahler, Ein ¨Ubertragungsprinzip f¨ ur konvexe K¨ orper, ˇCasopis Pˇ est.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Mahler, Ein ¨Ubertragungsprinzip f¨ ur konvexe K¨ orper, ˇCasopis Pˇ est

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:57.029234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 603a47a6-0fb5-4496-9a08-e9a58ce05ecd · outbound

This paper cites Mahler, Lectures on the geometry of numbers , University of Colorado, 1950.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Mahler, Lectures on the geometry of numbers , University of Colorado, 1950

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.984782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5398a4b1-d64f-472d-bd6d-27965c88f302 · outbound

This paper cites Mastrantonis, Lp-Legendre transforms and Mahler integrals: Asymptotics of the ex- tremizers, in preparation, 2024.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Mastrantonis, Lp-Legendre transforms and Mahler integrals: Asymptotics of the ex- tremizers, in preparation, 2024

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.948609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b61ac8c-2145-474c-91e1-9c58fd83a147 · outbound

This paper cites Mastrantonis, A Santal´ o inequality for theLp-polar body, preprint, 2024, to appear in Contemp.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Mastrantonis, A Santal´ o inequality for theLp-polar body, preprint, 2024, to appear in Contemp

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.914451Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 26be12c6-5d02-4ede-b504-306d1cd2ec02 · outbound

This paper cites Mastrantonis, Y.A.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Mastrantonis, Y.A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.876654Z

Source-reported events for the cited work

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Observation 50d0e0b0-542c-406c-96a7-8bfcf168ae5c · outbound

This paper cites Mastrantonis, Y.A.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Mastrantonis, Y.A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.830987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1ea8cdee-2b62-4fc8-b650-481c6dc867b7 · outbound

This paper cites Hypercontractivity beyond Nelson's time and its applications to Blaschke--Santal\'{o} inequality and inverse Santal\'{o} inequality.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Hypercontractivity beyond Nelson's time and its applications to Blaschke--Santal\'{o} inequality and inverse Santal\'{o} inequality

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:43:56.212278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd4abaf0-b38f-404a-b951-56d7591e29da · outbound

This paper cites The functional volume product under heat flow.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow The functional volume product under heat flow

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-12T19:43:56.158235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f17dbac2-4134-4af4-810e-18bebb29699c · outbound

This paper cites Olver, D.W.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Olver, D.W

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.796179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a4d2c43b-0500-493c-a9c7-48c747749369 · outbound

This paper cites Pr´ ekopa, On logarithmic concave measures and functions , Acta Sci.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Pr´ ekopa, On logarithmic concave measures and functions , Acta Sci

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.740997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a22b53f6-cb31-4e31-a64f-43313b5479d1 · outbound

This paper cites an unresolved cited work.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T19:43:56.705738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 06a5a2f3-5a00-4a5f-ba4f-d2417a61fe30 · outbound

This paper cites Rubinstein, Convex meets complex, preprint, 2024, arxiv: 2410:23500.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Rubinstein, Convex meets complex, preprint, 2024, arxiv: 2410:23500

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.671998Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 01c75a73-10ff-4c07-a1ba-1e07105cde3e · outbound

This paper cites Santal´ o, Un invariante aﬁn para los cuerpos convexos del espacio de n dimensiones, Portugal.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Santal´ o, Un invariante aﬁn para los cuerpos convexos del espacio de n dimensiones, Portugal

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.605281Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2caa7699-e61a-450b-97e7-20823a24a4d6 · outbound

This paper cites Tao, Open question: the Mahler conjecture on convex bodies, https://terrytao.wordpress.com/2007/03.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Tao, Open question: the Mahler conjecture on convex bodies, https://terrytao.wordpress.com/2007/03

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.574516Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c8a0c338-8ef5-4857-817b-11e0f8b420d6 · outbound

This paper cites Temme, Asymptotic methods for integrals , World Scientiﬁc, 2015.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Temme, Asymptotic methods for integrals , World Scientiﬁc, 2015

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.507670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c02a206a-81ef-4247-92cc-648d57b9d9f6 · outbound

This paper cites Watson, A Treatise on the Theory of Bessel Functions , second edition, Cambridge Univ.

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow Watson, A Treatise on the Theory of Bessel Functions , second edition, Cambridge Univ

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T19:43:56.464768Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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