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Paper Citation Record · LEDGER

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials

As of 8 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2607.13825.

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

pith.paper-citation-record.v1
2607.13825 v1

Coverage vector

measured 54 of 54 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T03:46:28.208570Z

measured 54 of 54 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

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

Source: cited_works

Reference resolution

54 of 54 outbound references displayed

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Outbound references

Observation c99caef6-e733-4071-b37e-279a2e45daba · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 1

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Observation fa433ce4-1a43-422e-a75e-1fcbc0a8ad3e · outbound

This paper cites Alexandre.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Alexandre

Reference 2

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Observation 51623fbc-8d95-464f-a750-31e78fc147c5 · outbound

This paper cites Alexandre, L.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Alexandre, L

Reference 3

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This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 4

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Observation ccf24fa1-dd64-4fbc-ab6d-e4b3f0b3ae4b · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 5

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Observation f3c5d77c-215c-452b-8a54-71ffac08c606 · outbound

This paper cites Boltzmann.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Boltzmann

Reference 6

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Observation 88649b49-dea2-45a8-82c4-0b31fc33dc52 · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 7

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Observation ee8acb73-ad76-4346-a55c-a97dc987e0bb · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 8

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Observation d3d7f02a-31b7-4b40-a0b3-553498546821 · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 9

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Observation 37250771-d7e1-4a11-ac9d-89ec195c9ab0 · outbound

This paper cites From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy

Reference 10

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Observation 69554145-577e-478a-9e36-488ea22a5048 · outbound

This paper cites Cercignani.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Cercignani

Reference 11

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Observation db33f2e6-3fc9-4628-b66c-d8fc212c676f · outbound

This paper cites Cortez and J.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Cortez and J

Reference 12

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Observation 1d35899b-f3bc-4fae-9ab2-0658d9219404 · outbound

This paper cites Cortez and J.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Cortez and J

Reference 13

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Observation 62ace91a-dcb5-4cee-8d22-8164651a0b8e · outbound

This paper cites Desvillettes.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Desvillettes

Reference 14

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Observation f415359c-b636-41a2-808e-eb210870ec31 · outbound

This paper cites Desvillettes, C.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Desvillettes, C

Reference 15

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Observation 5367f2e1-c354-41ae-87c4-aba66fa259cb · outbound

This paper cites Desvillettes and C.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Desvillettes and C

Reference 16

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This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 17

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Observation 7e9b7515-e0a1-4320-b20e-1b967ce8e0b9 · outbound

This paper cites Kac's Program for the Landau Equation.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Kac's Program for the Landau Equation

Reference 18

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Observation 7cf04418-faa5-4b69-9d1e-a91cc021dcb0 · outbound

This paper cites Fournier.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier

Reference 19

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Observation daa92c7b-425a-4fe0-92b5-3dc444f2ebc8 · outbound

This paper cites Fournier and H.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier and H

Reference 20

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Observation e3eeb746-b351-45fd-82a7-e14c8346bb37 · outbound

This paper cites Fournier and A.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier and A

Reference 21

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Observation 569ddf92-d16c-40a6-8683-6cdb8aa6ce86 · outbound

This paper cites Fournier and A.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier and A

Reference 22

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Observation 78a94c09-31e9-4af7-b9fe-495ed98d80aa · outbound

This paper cites Fournier and M.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier and M

Reference 23

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This paper cites Fournier, M.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier, M

Reference 24

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Observation 8e55f6ed-9894-467c-a102-7dc11ccbbd74 · outbound

This paper cites Fournier and S.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier and S

Reference 25

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Observation 92f337c2-48be-464b-b12d-94d6da216c0c · outbound

This paper cites Fournier and S.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier and S

Reference 26

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Observation f2b4c1a0-77be-49bf-85cc-7197b0331ea0 · outbound

This paper cites Fournier and S.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier and S

Reference 27

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Observation 98d0825f-ae6d-4cf8-b5a2-00d0272be73a · outbound

This paper cites Fournier and C.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fournier and C

Reference 28

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This paper cites Graham and S.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Graham and S

Reference 29

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Observation 13520425-4a5b-4d99-83ee-b241cefa85ad · outbound

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Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 30

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Observation 036e2ed6-28d1-4c18-91c0-ca304d225049 · outbound

This paper cites Guillen and L.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Guillen and L

Reference 31

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Observation 8a608b35-dd7c-4160-8463-ecd037df5e75 · outbound

This paper cites From Kac particles to the Landau equation with hard potentials: BBGKY hierarchy method.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials From Kac particles to the Landau equation with hard potentials: BBGKY hierarchy method

Reference 32

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Observation 82f7a1d0-da64-43b1-b95e-54483dae043c · outbound

This paper cites Hauray and S.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Hauray and S

Reference 33

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Observation fa0abdda-3a7a-41eb-810c-2faf3624a450 · outbound

This paper cites Heydecker.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Heydecker

Reference 34

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Observation a88e9172-bb2e-4f1f-b2ab-1a254a164f01 · outbound

This paper cites Imbert, L.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Imbert, L

Reference 35

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Observation 1637fb0d-8ff9-4b54-adcf-3024601aac69 · outbound

This paper cites Jacod, A.N.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Jacod, A.N

Reference 36

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Observation cbc0d524-688f-492f-85bf-531c7a2eb7d7 · outbound

This paper cites Jakubowski.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Jakubowski

Reference 37

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Observation 5c2458b9-210f-4898-8ff4-4253f78067ce · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 38

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Observation 387ee0bb-dcc4-4845-afd5-3169ae447d04 · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 39

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Observation aa3837dc-bf85-40eb-b9aa-a9be8ac88870 · outbound

This paper cites Rate of convergence of the Kac particle system for the Boltzmann equation with hard potentials.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Rate of convergence of the Kac particle system for the Boltzmann equation with hard potentials

Reference 40

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Observation 7c61110a-5903-4e40-b088-3785aebe67cf · outbound

This paper cites Rougerie.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Rougerie

Reference 41

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Observation 7b40552d-ef9b-40ba-acea-0fed3bfb3879 · outbound

This paper cites Silvestre.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Silvestre

Reference 42

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Observation e46b1530-4258-445c-a18d-3f5e456c385f · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 43

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Observation 2d4573ad-efe2-46c1-bfaa-3ee7a0ae65ac · outbound

This paper cites Mischler and C.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Mischler and C

Reference 44

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Observation cb02ef87-2fd8-4d17-a07c-e5d25b1b6176 · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 45

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Observation 07d1d025-f779-43b7-bde4-80c8e4bec2f5 · outbound

This paper cites Derivation of the Boltzmann equation with moderately soft potentials from a perturbed Nanbu particles system.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Derivation of the Boltzmann equation with moderately soft potentials from a perturbed Nanbu particles system

Reference 46

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Observation 48d0c302-8bf1-48ff-8b3e-593da7805f7b · outbound

This paper cites Sznitman.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Sznitman

Reference 47

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Observation 1b3b468a-9455-47f0-bc49-dbb662b65ec1 · outbound

This paper cites Sznitman.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Sznitman

Reference 48

Resolution
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This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 49

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Observation 7caf55ec-cc82-4e66-bdc1-d63c8498369c · outbound

This paper cites Propagation of chaos for the Boltzmann equation with very soft potentials.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Propagation of chaos for the Boltzmann equation with very soft potentials

Reference 50

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This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 51

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This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 52

Resolution
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This paper cites Fisher Information in Kinetic Theory.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Fisher Information in Kinetic Theory

Reference 54

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Observation 0d7728f2-b8bc-40b9-a0a0-353804ae5971 · outbound

This paper cites an unresolved cited work.

Quantitative propagation of chaos for the Boltzmann equation with moderately soft potentials Unresolved cited work

Reference 55

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