Paper Citation Record · LEDGER

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential

As of 19 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2509.01266.

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

pith.paper-citation-record.v1
2509.01266 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:48:47.904998Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-09T05:46:03.247086Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T05:56:01.203828Z

Reference resolution

22 of 22 outbound references displayed

verified exact2
verified fuzzy10
unresolved9
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36c35a3d-b8d0-4e7b-bdf7-eb82da73ddab · outbound

This paper cites 2, 141–177.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential 2, 141–177

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:51.525029Z

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 f824efa0-b8dd-49af-ad7d-846f0039abe0 · outbound

This paper cites Schilling, Convolution inequalities for Besov and Triebel-Lizorkin spaces, and applications to convolution semigroups , Studia Math.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Schilling, Convolution inequalities for Besov and Triebel-Lizorkin spaces, and applications to convolution semigroups , Studia Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:50.050698Z

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 b7d3530c-3ea7-4200-9fd9-1c7973733c73 · outbound

This paper cites Kurtz and Jie Xiong, A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems , Communications in Mathematical Sciences 2 (2004), no.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Kurtz and Jie Xiong, A stochastic evolution equation arising from the fluctuations of a class of interacting particle systems , Communications in Mathematical Sciences 2 (2004), no

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:49.870241Z

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 b0b5ad73-4833-45f5-8d7f-3608a771441e · outbound

This paper cites an unresolved cited work.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:49.239162Z

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 fee2e84b-b253-430a-b68b-0734f6d4eb88 · outbound

This paper cites an unresolved cited work.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:50.184632Z

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 9e84f008-dbda-471f-af14-b642da261a64 · outbound

This paper cites an unresolved cited work.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:51.375838Z

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 d5800250-101b-4dfa-af36-c847d50e98db · outbound

This paper cites Dobruˇ sin, Vlasov equations , Funktsional.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Dobruˇ sin, Vlasov equations , Funktsional

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:50.476146Z

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 c0d2f6a7-fcae-41b7-95fa-404435096ab6 · outbound

This paper cites Malham´ e, and Peter E.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Malham´ e, and Peter E

Reference 328

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:50.343200Z

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 8fee63a2-609f-4715-a0d8-359415886cd1 · outbound

This paper cites an unresolved cited work.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Unresolved cited work

Reference 358

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:49.763331Z

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 3f494165-3053-4b4e-aba5-a53e405d6590 · outbound

This paper cites Dawson, Measure-valued markov processes, ´Ecole d’´Et´ e de Probabilit´ es de Saint-Flour XXI— 1991, Lecture Notes in Math., vol.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Dawson, Measure-valued markov processes, ´Ecole d’´Et´ e de Probabilit´ es de Saint-Flour XXI— 1991, Lecture Notes in Math., vol

Reference 1969

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:50.708750Z

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 43d21511-5026-4a5d-ae91-1fca4213cf0b · outbound

This paper cites 1464, Springer, Berlin, 1991, pp.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential 1464, Springer, Berlin, 1991, pp

Reference 1985

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:49.037553Z

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 9114933f-9733-493e-ba2a-c14960ac00c2 · outbound

This paper cites Quantitative particle approximations of stochastic 2D Navier-Stokes equation.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Quantitative particle approximations of stochastic 2D Navier-Stokes equation

Reference 1987

Resolution: unresolved; no resolver link, observed 2026-08-05T12:48:47.616680Z

Source-reported events for the cited work

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Observation df5cf6b6-b84d-4182-ab43-6838bdfa1f9c · outbound

This paper cites Fluctuation behaviour for interacting particle systems with common noise.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Fluctuation behaviour for interacting particle systems with common noise

Reference 1994

Resolution: unresolved; no resolver link, observed 2026-08-05T12:48:47.520593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99038003-8da3-4a71-a14f-679d9ce33cc7 · outbound

This paper cites an unresolved cited work.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Unresolved cited work

Reference 2006

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:48.814980Z

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 717fdd0e-5595-4696-9bcb-7a1e45c8b3a9 · outbound

This paper cites Uniform-in-time estimates on corrections to mean field for interacting Brownian particles.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Uniform-in-time estimates on corrections to mean field for interacting Brownian particles

Reference 2011

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:48:48.658916Z

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 9acf3e77-88e6-4d03-bce9-5f311d767331 · outbound

This paper cites Central limit theorem over non-linear functionals of empirical measures: beyond the iid setting.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Central limit theorem over non-linear functionals of empirical measures: beyond the iid setting

Reference 2014

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:48:48.356483Z

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 aaec73d5-4196-47ed-a291-cc1114f0e2a6 · outbound

This paper cites an unresolved cited work.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Unresolved cited work

Reference 2015

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:49.515703Z

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 2bd7e0cb-55df-422c-ac24-71cf1ba9765b · outbound

This paper cites Pr¨ omel, Hegselmann-Krause model with environmental noise , Trans.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Pr¨ omel, Hegselmann-Krause model with environmental noise , Trans

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:50.980079Z

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 74be05a8-5b60-4b29-8685-9f3420a954aa · outbound

This paper cites an unresolved cited work.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential Unresolved cited work

Reference 2021

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:48:50.604232Z

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 a0cb2dc8-8d19-42a7-9a2b-e508cd4ebab3 · outbound

This paper cites 553, Springer, Vienna, 2014, pp.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential 553, Springer, Vienna, 2014, pp

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:51.186232Z

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 a24ebc1a-db2f-428c-a695-07052e50ba16 · outbound

This paper cites A quantitative central limit theorem for the simple symmetric exclusion process.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential A quantitative central limit theorem for the simple symmetric exclusion process

Reference 2023

Resolution: metadata mismatch; local_arxiv, observed 2026-08-05T12:48:48.143775Z

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 e974e8dc-ab19-4d8b-86c5-d8d18412ee8d · outbound

This paper cites 3, 1929 –.

Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential 3, 1929 –

Reference 4555

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:48:50.824241Z

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.

Pith citing papers

Observation 66e8959c-9381-455b-89df-4ea24ce432d4 · inbound

Universal Central Limit Theorem for non-exchangeable interacting diffusions cites this paper.

Universal Central Limit Theorem for non-exchangeable interacting diffusions Convergence rate for Fluctuations of mean field interacting diffusion and application to 2D viscous Vortex model and Coulomb potential

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:56:01.205895Z

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.