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Paper Citation Record · LEDGER

Singular mean-field limits via a multiscale mollification metric

As of 21 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 2 inbound Pith citation observations for arXiv:2607.10686.

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

pith.paper-citation-record.v1
2607.10686 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T09:59:50.839181Z

measured 47 of 47 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:51:33.216051Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T14:51:33.268688Z

Reference resolution

45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation 10154d9b-63b5-4906-b81f-a0ac5c244d68 · outbound

This paper cites Quantitative stochastic homogenization and large-scale regularity , volume 352 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Singular mean-field limits via a multiscale mollification metric Quantitative stochastic homogenization and large-scale regularity , volume 352 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 1

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Observation 758cdec6-0275-4f36-a1f9-3201621f33ae · outbound

This paper cites A duality method for mean-field limits with singular interactions.

Singular mean-field limits via a multiscale mollification metric A duality method for mean-field limits with singular interactions

Reference 2

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:947640e5d0675a9ef415d88b6226de223c7f513c4d7d206519864b30f1cc844c

Observation 1a5048ce-cab7-4b87-8f50-49ed1adeee05 · outbound

This paper cites Stochastic ODE s and stochastic linear PDE s with critical drift: regularity, duality and uniqueness.

Singular mean-field limits via a multiscale mollification metric Stochastic ODE s and stochastic linear PDE s with critical drift: regularity, duality and uniqueness

Reference 3

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Observation 62351310-5397-40d7-a2c4-95ce1311b5b6 · outbound

This paper cites The V lasov dynamics and its fluctuations in the 1/N limit of interacting classical particles.

Singular mean-field limits via a multiscale mollification metric The V lasov dynamics and its fluctuations in the 1/N limit of interacting classical particles

Reference 4

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Observation a406b1de-0562-4fbd-bf8d-b4c514da6ee1 · outbound

This paper cites A new approach to the mean-field limit of vlasov--fokker--planck equations.

Singular mean-field limits via a multiscale mollification metric A new approach to the mean-field limit of vlasov--fokker--planck equations

Reference 5

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:8f260e892d953cec9325b24a95bd228310c77490c47d10351622b5d0ba2c20c5

Observation a812055c-435f-44b8-ae67-8722841c0876 · outbound

This paper cites Mean field limit and quantitative estimates with singular attractive kernels.

Singular mean-field limits via a multiscale mollification metric Mean field limit and quantitative estimates with singular attractive kernels

Reference 6

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Observation 7c1eaac5-d0b4-48a7-9ee3-2de3ead605bb · outbound

This paper cites Berman and Magnus \" O nnheim.

Singular mean-field limits via a multiscale mollification metric Berman and Magnus \" O nnheim

Reference 7

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Observation 867edf18-6f7b-4a23-818f-e3d065f02dac · outbound

This paper cites Carrillo and Young-Pil Choi.

Singular mean-field limits via a multiscale mollification metric Carrillo and Young-Pil Choi

Reference 8

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Observation d573464f-68e3-480f-94d3-a621c717fa27 · outbound

This paper cites Propagation of chaos: a review of models, methods and applications. II. Applications.

Singular mean-field limits via a multiscale mollification metric Propagation of chaos: a review of models, methods and applications. II. Applications

Reference 9

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Observation 12180e33-246d-49eb-9482-5fe8b823cf50 · outbound

This paper cites The attractive log gas: stability, uniqueness, and propagation of chaos.

Singular mean-field limits via a multiscale mollification metric The attractive log gas: stability, uniqueness, and propagation of chaos

Reference 10

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Observation 15eedbba-d7df-47ac-b26d-7a296de184ba · outbound

This paper cites Carrillo, Lucas C.

Singular mean-field limits via a multiscale mollification metric Carrillo, Lucas C

Reference 11

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Observation 9064a0ed-0685-4bf2-ba20-a53e0968738a · outbound

This paper cites Global regularity for critical SQG in bounded domains.

Singular mean-field limits via a multiscale mollification metric Global regularity for critical SQG in bounded domains

Reference 12

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Observation fecbf371-b178-424d-b4af-02ff81024677 · outbound

This paper cites Long time dynamics of forced critical SQG.

Singular mean-field limits via a multiscale mollification metric Long time dynamics of forced critical SQG

Reference 13

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Observation ff747f7a-c953-4f2f-9aa6-82391009fb64 · outbound

This paper cites Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows.

Singular mean-field limits via a multiscale mollification metric Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows

Reference 14

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Observation e7a0834f-3693-4612-8f94-b3e884fb87e8 · outbound

This paper cites Correlation estimates for brownian particles with singular interactions, 2025.

Singular mean-field limits via a multiscale mollification metric Correlation estimates for brownian particles with singular interactions, 2025

Reference 15

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Observation 7c8ce972-d79e-41ad-8713-500ad82fa6a7 · outbound

This paper cites an unresolved cited work.

Singular mean-field limits via a multiscale mollification metric Unresolved cited work

Reference 16

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Observation a45f764a-c43f-4d5c-a886-f5d7662f6e3b · outbound

This paper cites Mean-field limits for some Riesz interaction gradient flows.

Singular mean-field limits via a multiscale mollification metric Mean-field limits for some Riesz interaction gradient flows

Reference 17

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Observation 6cf1df66-6ed8-4bdd-b3da-8600e20d7380 · outbound

This paper cites Well-posedness of the transport equation by stochastic perturbation.

Singular mean-field limits via a multiscale mollification metric Well-posedness of the transport equation by stochastic perturbation

Reference 18

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Observation 164fa877-cd7f-4c3c-9a00-547caeee8528 · outbound

This paper cites On the dynamics of large particle systems in the mean field limit.

Singular mean-field limits via a multiscale mollification metric On the dynamics of large particle systems in the mean field limit

Reference 19

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Observation 89c89a9e-fbab-411d-a1d8-eb3ea8fe7981 · outbound

This paper cites Mean-Field Limits in Statistical Dynamics.

Singular mean-field limits via a multiscale mollification metric Mean-Field Limits in Statistical Dynamics

Reference 20

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Observation bead87b1-fd22-4f98-8605-b75ff3db240d · outbound

This paper cites Wasserstein distances for vortices approximation of E uler-type equations.

Singular mean-field limits via a multiscale mollification metric Wasserstein distances for vortices approximation of E uler-type equations

Reference 21

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Observation 8becf068-d4b2-4912-bf37-223812cead9f · outbound

This paper cites Higher-order propagation of chaos in L 2 for interacting diffusions.

Singular mean-field limits via a multiscale mollification metric Higher-order propagation of chaos in L 2 for interacting diffusions

Reference 22

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Observation 400e321d-a076-4855-ad97-a9c748d4f7d6 · outbound

This paper cites A sharp commutator estimate for sub- C oulomb modulated energies.

Singular mean-field limits via a multiscale mollification metric A sharp commutator estimate for sub- C oulomb modulated energies

Reference 23

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Observation b707636f-bcec-4d48-8e79-37ee2daace56 · outbound

This paper cites Another look at regularity in transport-commutator estimates.

Singular mean-field limits via a multiscale mollification metric Another look at regularity in transport-commutator estimates

Reference 24

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Observation 77f3aaef-5cfc-40e4-9e2d-937bd31851ef · outbound

This paper cites N -particles approximation of the V lasov equations with singular potential.

Singular mean-field limits via a multiscale mollification metric N -particles approximation of the V lasov equations with singular potential

Reference 25

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Observation 35b4fcb4-f330-4d9d-bf9d-51cd636317a5 · outbound

This paper cites On K ac's chaos and related problems.

Singular mean-field limits via a multiscale mollification metric On K ac's chaos and related problems

Reference 26

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Observation a0e08f4c-a561-4f21-9b3a-5533851bd88b · outbound

This paper cites A review of the mean field limits for V lasov equations.

Singular mean-field limits via a multiscale mollification metric A review of the mean field limits for V lasov equations

Reference 27

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Observation a6eeb275-ebb9-4361-a9f3-84491c08ab81 · outbound

This paper cites Quantitative estimates of propagation of chaos for stochastic systems with W^ -1, kernels.

Singular mean-field limits via a multiscale mollification metric Quantitative estimates of propagation of chaos for stochastic systems with W^ -1, kernels

Reference 28

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Observation 6ef7f349-958f-4dd6-95aa-cffecf31c097 · outbound

This paper cites an unresolved cited work.

Singular mean-field limits via a multiscale mollification metric Unresolved cited work

Reference 29

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Observation c4804098-290d-4bd6-a1f4-45313c820714 · outbound

This paper cites Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions.

Singular mean-field limits via a multiscale mollification metric Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions

Reference 30

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Observation f6509ac3-974f-4724-ab38-ed6ce6fdb0ec · outbound

This paper cites Sharp uniform-in-time propagation of chaos.

Singular mean-field limits via a multiscale mollification metric Sharp uniform-in-time propagation of chaos

Reference 31

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Observation 49d27945-e222-44e1-a4cc-c6794b3ca260 · outbound

This paper cites A mean field limit for the V lasov- P oisson system.

Singular mean-field limits via a multiscale mollification metric A mean field limit for the V lasov- P oisson system

Reference 32

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Observation 079134df-022d-4a32-8e23-514989593799 · outbound

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Singular mean-field limits via a multiscale mollification metric Unresolved cited work

Reference 33

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Observation 1956dfec-7aa0-45a7-95a4-2f86c292a953 · outbound

This paper cites Mathematical Theory of Incompressible Nonviscous Fluids , volume 96 of Applied Mathematical Sciences.

Singular mean-field limits via a multiscale mollification metric Mathematical Theory of Incompressible Nonviscous Fluids , volume 96 of Applied Mathematical Sciences

Reference 34

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Observation d284d454-0947-4246-a2f6-6b26c8204419 · outbound

This paper cites Mean-field limits of R iesz-type singular flows.

Singular mean-field limits via a multiscale mollification metric Mean-field limits of R iesz-type singular flows

Reference 35

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Observation b94a6bdf-a9b0-4fe2-963a-38007fe30ca7 · outbound

This paper cites Large systems of interacting particles and the porous medium equation.

Singular mean-field limits via a multiscale mollification metric Large systems of interacting particles and the porous medium equation

Reference 36

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Observation f57c897c-9af4-42be-9a33-ee85b1b37ce7 · outbound

This paper cites Parabolic equations with singular divergence-free drift vector fields.

Singular mean-field limits via a multiscale mollification metric Parabolic equations with singular divergence-free drift vector fields

Reference 37

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Observation 9fc00472-92db-48cf-aa25-5f261b58d766 · outbound

This paper cites The mean-field approximation for higher-dimensional C oulomb flows in the scaling-critical L^ space.

Singular mean-field limits via a multiscale mollification metric The mean-field approximation for higher-dimensional C oulomb flows in the scaling-critical L^ space

Reference 38

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:01a7855f628a40253f79723d1e92c2f194a8479c4a5be4bec0f3d44c225a5042

Observation fd22d287-282d-43d0-b15a-40ef39e92d85 · outbound

This paper cites Mean-field convergence of point vortices to the incompressible E uler equation with vorticity in L^.

Singular mean-field limits via a multiscale mollification metric Mean-field convergence of point vortices to the incompressible E uler equation with vorticity in L^

Reference 39

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:ec2f9afe47a5cc7d57bcac5076861472b3baae87cc840acb14d91b86455e0773

Observation 2b4d5cec-3997-40ec-8030-ec3f152303f2 · outbound

This paper cites Commutators, mean-field, and supercritical mean-field limits for coulomb/riesz gases, 2026.

Singular mean-field limits via a multiscale mollification metric Commutators, mean-field, and supercritical mean-field limits for coulomb/riesz gases, 2026

Reference 40

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:122198118b38ff73925feb8cd32a18ddd88201d221d22463c4ca774d3fe4c139

Observation 9cde2cd9-86a0-4508-8a9e-ac540e437aff · outbound

This paper cites Sharp commutator estimates of all order for C oulomb and R iesz modulated energies.

Singular mean-field limits via a multiscale mollification metric Sharp commutator estimates of all order for C oulomb and R iesz modulated energies

Reference 41

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:9495865062885957c9db09d1530e147f5c93a6b0732c937ef7300d7f6ca82263

Observation 27bb238b-c75e-4400-80db-f9ba1a6e0fd5 · outbound

This paper cites Mean field limit for Coulomb-type flows.

Singular mean-field limits via a multiscale mollification metric Mean field limit for Coulomb-type flows

Reference 42

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:b65a524e485b6cf25d4aba0f2a9d632e363d3292ed89b5ed6950559211ae0d6a

Observation 0fea30fc-8bf6-48df-ac30-7e74744bc28c · outbound

This paper cites Topics in propagation of chaos.

Singular mean-field limits via a multiscale mollification metric Topics in propagation of chaos

Reference 43

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:1b62b122d76742713887aa0c8d703eea50d5b843c5a519e7dcf1b08e95239251

Observation 3f83e625-5e88-49f5-8499-cc1583854ef1 · outbound

This paper cites Peletier, and Thomas Slangen.

Singular mean-field limits via a multiscale mollification metric Peletier, and Thomas Slangen

Reference 44

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:11ccd747184c5bcd39b9a84ec199d3ef144ef439c942a72abf0ab1d76f212dba

Observation da421c55-3dfa-4b5d-a691-44822245d6ae · outbound

This paper cites Strong well-posedness of a singular SDE for signed Coulomb particles.

Singular mean-field limits via a multiscale mollification metric Strong well-posedness of a singular SDE for signed Coulomb particles

Reference 45

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source=arxiv_source observed=2026-07-14T09:59:50.839181Z digest=sha256:220c24cb5918240433d5131790182cdbda4cef7f76bb3e29140d6a0bc0d85778

Pith citing papers

Observation e72c42b2-98a5-437b-9ecb-cc43ec3ca9f8 · inbound

A Formalization of the Mean-Field Derivation of the Vlasov Equation cites this paper.

A Formalization of the Mean-Field Derivation of the Vlasov Equation Singular mean-field limits via a multiscale mollification metric

Reference 35

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source=pdf_text observed=2026-08-02T07:47:59.993181Z digest=sha256:1c3fcb3104c914c85593b1db862d02367abe70d9d5d60814222b396dcf1d1ba8

Observation c7fe2ac0-16f4-4b7f-9386-02140bb7c0e7 · inbound

Derivation of 2D Vlasov-Poisson for classical particles with Coulomb interactions cites this paper.

Derivation of 2D Vlasov-Poisson for classical particles with Coulomb interactions Singular mean-field limits via a multiscale mollification metric

Reference 21

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source=pdf_text observed=2026-08-15T14:51:33.216051Z digest=sha256:531166f545f876180e791c9a74a5d80c34a42fda10e6cfb44d27ab0e0001138d