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Paper Citation Record · LEDGER

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials

As of 20 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2603.29989.

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

pith.paper-citation-record.v1
2603.29989 v6

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T05:48:25.209394Z

measured 34 of 34 standing notices

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

measured 0 of 0 inbound itemization

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

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External citation measurements

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Outbound references

Observation b8bb88b8-53b8-4bac-8d01-30c48e2f7662 · outbound

This paper cites Andrews and J.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Andrews and J

Reference 1

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source=pdf_text observed=2026-08-04T05:48:21.795722Z digest=sha256:7c595ac632056ab64ddc2cbdd2635b58555bc22e4409ff90b745d3492b989df3

Observation 730013e3-aa06-4890-9458-af93d8820743 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 2

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source=pdf_text observed=2026-08-04T05:48:21.864744Z digest=sha256:987da6818199475bb404df3c5a59d7a0ece33e8d43d96e6c32d526dfcd48e8bc

Observation fb99765b-2356-455e-b80d-2721f51b5361 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-04T05:48:21.935199Z digest=sha256:21b5f465f8f2d01a481d6cf4e66663811ae09c1e483917b5e348615c437c0a30

Observation 38aab127-107e-49cd-bcd7-73cd2062a305 · outbound

This paper cites Borell,The Brunn-Minkowski inequality in Gauss space, Invent.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Borell,The Brunn-Minkowski inequality in Gauss space, Invent

Reference 4

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source=pdf_text observed=2026-08-04T05:48:21.992341Z digest=sha256:f1acc0d226d34f0d4ed91a3be90b25d5b38162622065c5796d9acaa54a048118

Observation cd2c6d07-be20-4390-8293-b75cf5ca68cf · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-04T05:48:22.032385Z digest=sha256:be870f9a133c8e40684becb3a4abf21175f64a7ce79e5a7e468254ab81a0c65c

Observation 2bb3eb7d-c7f8-4223-81aa-1d071e572a61 · outbound

This paper cites Brascamp and E.H.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Brascamp and E.H

Reference 6

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source=pdf_text observed=2026-08-04T05:48:22.109494Z digest=sha256:666cb840110b0ce8d6555d496e8a1575d7fa0213b188708dca05cbd80c019736

Observation 4339ae27-5470-472e-99ac-1ee6b0fd9db7 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-04T05:48:22.249319Z digest=sha256:13d5ba19c0df80fcd6fb5cb41d3cd8db9ccdf7f676b92c913b0c934fe628a6a9

Observation 3820dcb6-e0d7-495f-b408-62e89aadb50b · outbound

This paper cites Brasco, G.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Brasco, G

Reference 8

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source=pdf_text observed=2026-08-04T05:48:22.378483Z digest=sha256:5a9f55c727b1de4799e2eae2ed1ca1309fc5b548e9defa3f1e61396a54f92379

Observation e34a6d67-f4f1-42a4-8fbc-b293341dd54d · outbound

This paper cites Buccheri, L.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Buccheri, L

Reference 9

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source=pdf_text observed=2026-08-04T05:48:22.481966Z digest=sha256:05f4c982751016b83e4e34b83b95c2cc525626749b89c79b74aa92a1f6f9fced

Observation 2b23cdf0-d825-4dfd-98be-952bdb946200 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-04T05:48:22.639914Z digest=sha256:fe809072756d04c7c540e81f6bf6e23161c3f093db1721aa6c8ef882eb73a1c0

Observation d333cc74-edf6-45f6-90d5-1e42fa35bebe · outbound

This paper cites Carbotti, S.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Carbotti, S

Reference 11

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source=pdf_text observed=2026-08-04T05:48:22.809889Z digest=sha256:12d827dd2883701075e961a57cda71e46c8385f3a57dbca8b3d02e2ce7e1e8ab

Observation a93498c3-dbff-455c-a63e-186c0e7f5af1 · outbound

This paper cites Colesanti,Brunn–Minkowski inequalities for variational functionals and related problems, Adv.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Colesanti,Brunn–Minkowski inequalities for variational functionals and related problems, Adv

Reference 12

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source=pdf_text observed=2026-08-04T05:48:22.987814Z digest=sha256:8637d11d64c75ecdd092726ddb1e11982e6559880977608c7d7fa8f86a810f44

Observation 8364310a-a556-48c5-9884-9c7e4e9e8f37 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-04T05:48:23.049663Z digest=sha256:a71b26e233d56dc27651e77020cf52ded0b329798a08621790eaa5ad58d53211

Observation 49921105-48ce-43f4-8c50-c52a887af1c8 · outbound

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

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction

Reference 14

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source=pdf_text observed=2026-08-04T05:48:23.110972Z digest=sha256:6bf9ccf7fac205b03a0450cddc5d6aba03f456230f88f2c278df972e24569495

Observation f9d809e4-2d45-4d66-b9d3-50764ed26f8f · outbound

This paper cites Colesanti, L.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Colesanti, L

Reference 15

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source=pdf_text observed=2026-08-04T05:48:23.187211Z digest=sha256:cc3359219d0245d472d24b08d32d9f61cca8c07b1ef27cf99b1b5a8476c1946f

Observation 301e0795-cff0-411d-8d69-d5cb2c7388fc · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-04T05:48:23.255434Z digest=sha256:dfa6b83e2a2ed063b46b64d8adedd0e31dd6ee8587699a9755fcc33b89750c70

Observation 70a09419-4977-4934-b549-00189008385b · outbound

This paper cites Engel and R.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Engel and R

Reference 17

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source=pdf_text observed=2026-08-04T05:48:23.387759Z digest=sha256:0c2e2df6401191d94c74fd8127061366a337705333ccb558d410a08e6e080366

Observation 0bcc0c33-db1e-423a-bd48-f542da1be738 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-04T05:48:23.453925Z digest=sha256:051b012285ea6bbea9dc5a2a2713a48810098cb4dca6568e384d8056d7d1e5a6

Observation d3ffe759-21e3-4a43-8117-ba5f2e5e627b · outbound

This paper cites Eskenazis and G.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Eskenazis and G

Reference 19

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source=pdf_text observed=2026-08-04T05:48:23.575598Z digest=sha256:a07ff1f8b0161251480f9abefaceeae1cfae0f1cad98a4b1193f38797fdf9581

Observation 051bc00a-1c2a-4f7d-8c90-0ddfabc40698 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 20

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source=pdf_text observed=2026-08-04T05:48:23.703952Z digest=sha256:70065b79a307482f103223b6ac5a953204c272e6f9aaad54ba0047bc5f80dd1a

Observation 9357d93e-c4c5-4d82-9110-6f9f19830c0c · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-04T05:48:23.882882Z digest=sha256:f281ee2409811fa88604bd3ad2aa4ae11bda3fcffc117df0ca522cdd8c6f51ea

Observation 9d208be6-7931-4d35-bcab-b1ca84976048 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 22

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source=pdf_text observed=2026-08-04T05:48:23.951136Z digest=sha256:bcbb22e79f2c3aa7dc28c0adc927db32e4ed12f695fe91b2bbc99a50b7c3a65f

Observation f39d0141-d835-4e5d-aa62-0a5832c032f8 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-04T05:48:24.094407Z digest=sha256:0d98a87c2c1fe20cc5109e76ce9721b18aea2d501cccb13231dad31553eff73e

Observation 3801bbce-2cca-4145-8602-fb0af1a7420d · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-04T05:48:24.140602Z digest=sha256:3d1c171951a19e6a0bdf826e1807b11ab35fa394adbb42340667d314f313a2d9

Observation ca925ade-64d8-48cb-a0c5-16c9291c3007 · outbound

This paper cites Leindler,On a certain converse of Hölder’s inequality, Acta Sci.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Leindler,On a certain converse of Hölder’s inequality, Acta Sci

Reference 25

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source=pdf_text observed=2026-08-04T05:48:24.200085Z digest=sha256:657929294d536a4673c09f73a06b06dc5d792e266347afd9b2c412d77669afd3

Observation d90bd6d6-aeab-466d-8e9c-126199651c4e · outbound

This paper cites Maz′ya and M.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Maz′ya and M

Reference 26

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source=pdf_text observed=2026-08-04T05:48:24.237415Z digest=sha256:32dd856362b57fdaaab3eba43004078dbeef77b30387b6a7bdbc715c38bc9854

Observation 6a2d66bb-bae7-4cd6-9808-0f285e289530 · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-04T05:48:24.324601Z digest=sha256:607fb72f52fe4984b8130a9ed22c2e478aa9f2769f99ea835d5eb0ae14afb1cc

Observation 76a54230-ab7a-4cd4-a6ed-bec2ac4bc1e5 · outbound

This paper cites Prékopa,Logarithmic concave measures with application to stochastic programming, Acta Sci.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Prékopa,Logarithmic concave measures with application to stochastic programming, Acta Sci

Reference 28

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source=pdf_text observed=2026-08-04T05:48:24.423535Z digest=sha256:1700ca91fc8ff64a8421606f817f8032ec36447888148d549d293bce91ae8423

Observation 50a4d386-29a6-431d-8136-a1fbb8e9270c · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 29

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source=pdf_text observed=2026-08-04T05:48:24.527083Z digest=sha256:9946902eecdd2fa5576706e3910e62c831f6bae485f794919f98e57306474aa3

Observation 7b4939f4-f536-40dd-9a2e-71317408f11e · outbound

This paper cites Qin,The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies, Proc.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Qin,The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies, Proc

Reference 30

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source=pdf_text observed=2026-08-04T05:48:24.649959Z digest=sha256:e34aa89aa7eec5ba1f1daf4d699008641b282512f22030606bbb42e96a943116

Observation 4e3703cf-c4ee-4280-a8dd-7367aa200e10 · outbound

This paper cites Reed and B.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Reed and B

Reference 31

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source=pdf_text observed=2026-08-04T05:48:24.739928Z digest=sha256:dc8beb3f6346241b6e8fb38f5a9608944449a7347eca2278bcc9df80425287ae

Observation bdd7ddc4-8b8b-41f4-9fba-1536cde3c22b · outbound

This paper cites an unresolved cited work.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Unresolved cited work

Reference 32

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source=pdf_text observed=2026-08-04T05:48:24.915464Z digest=sha256:1bc1dd70be8272ff746cfc5da3d9f04dcb87ef905253916dd89699feb8a96749

Observation f9ef9fb7-4a7c-4517-81bc-3c56e562a9f8 · outbound

This paper cites Simon,Functional integration and quantum physics, Pure and Applied Mathematics, vol.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials Simon,Functional integration and quantum physics, Pure and Applied Mathematics, vol

Reference 33

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source=pdf_text observed=2026-08-04T05:48:25.080013Z digest=sha256:6067dc5f1b0c897be2e3d865c1193565a483aad3cd7e346c1ec44524dc660cfd

Observation 4d901fb0-2ab5-4a5c-a79d-5d61e14d56ed · outbound

This paper cites E. De Giorgi.

A Brunn-Minkowski inequality for Schr\"odinger operators with Kato class potentials E. De Giorgi

Reference 34

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source=pdf_text observed=2026-08-04T05:48:25.209394Z digest=sha256:04c53549bed161883fab982e0a0999d972dcb7a1eca894c040caa1451f7d357c

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