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Paper Citation Record · LEDGER

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy

As of 12 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 3 inbound Pith citation observations for arXiv:2602.01641.

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

pith.paper-citation-record.v1
2602.01641 v2

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measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T05:42:26.632802Z

measured 35 of 35 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:33:04.202546Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-07-09T05:56:01.215206Z

Reference resolution

32 of 32 outbound references displayed

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Outbound references

Observation 7b891aee-5788-4f21-a246-fb8de47bc396 · outbound

This paper cites John Wiley & Sons, 2016.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy John Wiley & Sons, 2016

Reference 1

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Observation ff66acc6-d90b-49f0-8825-f9ee58f84c16 · outbound

This paper cites New particle repre- sentations for ergodic McKean–Vlasov SDEs.ESAIM: Proceedings and Surveys, 65:145–185, 2019.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy New particle repre- sentations for ergodic McKean–Vlasov SDEs.ESAIM: Proceedings and Surveys, 65:145–185, 2019

Reference 2

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Observation 29ddcdb8-95f0-4e1c-bf2e-f57573901a28 · outbound

This paper cites Springer Science & Business Media, 2008.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Springer Science & Business Media, 2008

Reference 3

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Observation 95772722-3fca-499c-b800-f8a8fdb495e4 · outbound

This paper cites Graphon mean field systems.The Annals of Applied Probability, 33(5):3587–3619, 2023.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Graphon mean field systems.The Annals of Applied Probability, 33(5):3587–3619, 2023

Reference 4

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source=pdf_text observed=2026-08-03T05:42:24.307233Z digest=sha256:8dbe0dda20b3a749a02303cbc17f058489efb9a93314f5031cdb63ca33fd642e

Observation 8e629cf3-9a55-4ee8-a2bb-d48acc9d3292 · outbound

This paper cites Self-interacting diffusions.Probability Theory and Related Fields, 122(1):1–41, 2002.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Self-interacting diffusions.Probability Theory and Related Fields, 122(1):1–41, 2002

Reference 5

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source=pdf_text observed=2026-08-03T05:42:24.383196Z digest=sha256:9b5f629df5eb320caa45c091dd781801855c85e18f167bf3060c18f85106124a

Observation 7ca9e23e-c901-47ee-9d2a-6ce6ef045477 · outbound

This paper cites A stochastic particle method for the McKean–Vlasov and the Burgers equation.Mathematics of Computation, 66(217):157–192, 1997.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy A stochastic particle method for the McKean–Vlasov and the Burgers equation.Mathematics of Computation, 66(217):157–192, 1997

Reference 6

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source=pdf_text observed=2026-08-03T05:42:24.466456Z digest=sha256:39cf627f4e7d1366e3c4324d7f96774a5b905f8478ee359639c5f1ec1f4f1977

Observation ef8a330e-070f-43e5-88c4-4c995ef973eb · outbound

This paper cites Large-scale machine learning with stochastic gradient descent.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Large-scale machine learning with stochastic gradient descent

Reference 7

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source=pdf_text observed=2026-08-03T05:42:24.533233Z digest=sha256:dfa940048632c7f7fdf1d0f4d2860976af8b87a3d88189139d4b88e031ae3908

Observation f5e6961a-c14d-4c55-b32b-5ac90b85fd04 · outbound

This paper cites Mean field limit and quantitative estimates with singular attractive kernels.Duke Mathematical Journal, 172(13):2591–2641, 2023.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Mean field limit and quantitative estimates with singular attractive kernels.Duke Mathematical Journal, 172(13):2591–2641, 2023

Reference 8

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source=pdf_text observed=2026-08-03T05:42:24.635863Z digest=sha256:cee15eab2ef8a9506bb3d7867a1c37789d4f7518eb8af0cb5be085ca57f5be71

Observation 0c23e252-80d6-4842-8fd3-6de6b06eea21 · outbound

This paper cites Sequentially interacting Markov chain Monte Carlo methods.The Annals of Statistics, 38(6):3387–3411, 2010.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Sequentially interacting Markov chain Monte Carlo methods.The Annals of Statistics, 38(6):3387–3411, 2010

Reference 9

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source=pdf_text observed=2026-08-03T05:42:24.707012Z digest=sha256:fe4ea18d9c4ef48491e3312fa7db5b903eb1f0dcfe4ddfbdd2b78249a7ef50ba

Observation 73f28881-b957-4b1e-ac85-5c0e61cea7d8 · outbound

This paper cites Interacting Markov chain Monte Carlo methods for solving nonlinear measure-valued equations.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Interacting Markov chain Monte Carlo methods for solving nonlinear measure-valued equations

Reference 10

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source=pdf_text observed=2026-08-03T05:42:24.776584Z digest=sha256:641b95350bae3f83b85692ccc925e2b2655529b9584243faab17d195b104f102

Observation ddd99903-92fd-4717-9c98-726e04d6c0e4 · outbound

This paper cites Sequential propagation of chaos.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Sequential propagation of chaos

Reference 11

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source=pdf_text observed=2026-08-03T05:42:24.847286Z digest=sha256:eb8a9acec401a50cc3695fb248721e9ccc817649512152699bd7f366f74db0a8

Observation 4b2218af-885c-47b3-95cd-d47f17b0ca69 · outbound

This paper cites John Wiley & Sons, 2011.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy John Wiley & Sons, 2011

Reference 12

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source=pdf_text observed=2026-08-03T05:42:24.926959Z digest=sha256:0cf2c23421c1ab89e0d9be0e5876f74c3cd8fa1292a42e1b521e5922c18b10cc

Observation c9f338b4-749a-4495-ab0e-136d2dcbc4f1 · outbound

This paper cites Propagation of chaos for the 2d viscous vortex model.Journal of the European Mathematical Society, 16(7):1423–1466, 2014.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Propagation of chaos for the 2d viscous vortex model.Journal of the European Mathematical Society, 16(7):1423–1466, 2014

Reference 13

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source=pdf_text observed=2026-08-03T05:42:25.025980Z digest=sha256:fc77c6c519dce66ac1660218a848602f59aec28be4e76c66ca8235fd4e4f7b3e

Observation bd5c1415-4ff0-49c0-ab6c-8a795fc7dd05 · outbound

This paper cites Uniform in time propagation of chaos for the 2d vortex model and other singular stochastic systems.Journal of the European Mathematical Society, pages 1–28, 2024.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Uniform in time propagation of chaos for the 2d vortex model and other singular stochastic systems.Journal of the European Mathematical Society, pages 1–28, 2024

Reference 14

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source=pdf_text observed=2026-08-03T05:42:25.126498Z digest=sha256:b3ccae673c816426684d024f1a250664e223890455adc6e758a8110782df68fc

Observation 295ca3ef-5d61-4173-a8d8-9fadbbe34a72 · outbound

This paper cites Strong convergence of propagation of chaos for mckean–vlasov sdes with singular interactions.SIAM Journal on Mathematical Analysis, 56(2):2661–2713, 2024.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Strong convergence of propagation of chaos for mckean–vlasov sdes with singular interactions.SIAM Journal on Mathematical Analysis, 56(2):2661–2713, 2024

Reference 15

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source=pdf_text observed=2026-08-03T05:42:25.199486Z digest=sha256:fdd75d45a2a5136b14d60fcb67262ffb9aacdd9c1b4f738d2461a4c1be235da4

Observation c0e4aa6b-d16d-4663-9672-e270751633b6 · outbound

This paper cites Cambridge university press, 1952.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Cambridge university press, 1952

Reference 16

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source=pdf_text observed=2026-08-03T05:42:25.262640Z digest=sha256:3d28e943656848aab22c0feca8eb31f87014af0da9e170c3244bd4f4d61bc4cc

Observation 32fdc035-18a3-412c-aa62-55f66b3cd99a · outbound

This paper cites A review of the mean field limits for vlasov equations.Kinetic & Related Models, 7(4):661, 2014.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy A review of the mean field limits for vlasov equations.Kinetic & Related Models, 7(4):661, 2014

Reference 17

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source=pdf_text observed=2026-08-03T05:42:25.363518Z digest=sha256:2a13aef49fa965bc11ee29934f7d474dcc3a56f067c27b3855053cd1c58deffa

Observation c937fc60-5e1d-4950-8a76-facd81e4156d · outbound

This paper cites Quantitative estimates of propagation of chaos for stochastic systems withw −1,∞ kernels.Inventiones mathematicae, 214(1):523–591, 2018.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Quantitative estimates of propagation of chaos for stochastic systems withw −1,∞ kernels.Inventiones mathematicae, 214(1):523–591, 2018

Reference 18

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source=pdf_text observed=2026-08-03T05:42:25.466373Z digest=sha256:2caceb577ba2135d95dc7bb0ec6b2b771afe096394373a8fbdffca05699a180f

Observation ecdb0526-e20a-44fc-8ec8-19a14242c27a · outbound

This paper cites The mean-field limit of sparse networks of integrate- and-fire neurons.Annales de l’Institut Henri Poincar´ e C, 2025.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy The mean-field limit of sparse networks of integrate- and-fire neurons.Annales de l’Institut Henri Poincar´ e C, 2025

Reference 19

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source=pdf_text observed=2026-08-03T05:42:25.552890Z digest=sha256:b56e3189ef0588b88a8166209bb4ea96947108f3280822968d01174efbc9e751

Observation ae6ecd19-f927-4e3f-8367-97c7a23d90c8 · outbound

This paper cites Random Batch Methods (RBM) for interacting particle systems.Journal of Computational Physics, 400:108877, 2020.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Random Batch Methods (RBM) for interacting particle systems.Journal of Computational Physics, 400:108877, 2020

Reference 20

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source=pdf_text observed=2026-08-03T05:42:25.628673Z digest=sha256:463a0d42d6ed0e2efac6e5f81b6533e926cc7d5c6842d5eba779c74072cda937

Observation f59a3c71-057d-4001-9d8a-f5c3906dd337 · outbound

This paper cites Strong solutions of stochastic equations with singular time dependent drift.Probability theory and related fields, 131(2):154–196, 2005.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Strong solutions of stochastic equations with singular time dependent drift.Probability theory and related fields, 131(2):154–196, 2005

Reference 21

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Observation f1012128-5dde-4efb-b719-6a680a6a9039 · outbound

This paper cites Springer, 2003.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Springer, 2003

Reference 22

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source=pdf_text observed=2026-08-03T05:42:25.830582Z digest=sha256:c72e69689b8386325d6cee25f07feae58b3b557d675e2a07400a5f58de242ce5

Observation dcb315a5-7fe1-4913-be96-74a45340e015 · outbound

This paper cites Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions.Probability and mathematical physics, 4(2):377–432, 2023.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions.Probability and mathematical physics, 4(2):377–432, 2023

Reference 23

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Observation d4854aef-f811-4dec-842b-76538c6b27ee · outbound

This paper cites Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation

Reference 24

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Observation 331f6270-74dd-448a-a8ec-d054f2f848ef · outbound

This paper cites an unresolved cited work.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-03T05:42:26.067469Z digest=sha256:3db98e6b49b114d8114e3b21e4ef1a111fefc8e62437294a9d51e517ccaac402

Observation 26b58668-b30e-4d14-9608-7cea0d161a22 · outbound

This paper cites A stochastic approximation method.The annals of mathematical statistics, pages 400–407, 1951.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy A stochastic approximation method.The annals of mathematical statistics, pages 400–407, 1951

Reference 26

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source=pdf_text observed=2026-08-03T05:42:26.137440Z digest=sha256:487a54b83acd0e5114a068a6e7143efafa153bf3f99f3e66840e96dcd0861629

Observation 3c1c26ca-a623-4925-a570-794eaff25077 · outbound

This paper cites Mean field limit for coulomb-type flows.Duke Mathematical Journal, 169(15):2887–2935, 2020.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Mean field limit for coulomb-type flows.Duke Mathematical Journal, 169(15):2887–2935, 2020

Reference 27

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source=pdf_text observed=2026-08-03T05:42:26.217423Z digest=sha256:51640532c4b3d5bac0e98b1a54463d6b4422a0cce82606bcf4a0918f451115d5

Observation dac45a85-df3e-4546-b7aa-dfde17735ab0 · outbound

This paper cites Topics in propagation of chaos.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Topics in propagation of chaos

Reference 28

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source=pdf_text observed=2026-08-03T05:42:26.297917Z digest=sha256:e713a25f9f12563e4045937e6c2e0900fc8500ddc06d0d4082cb77d9c458f38f

Observation c458a4cc-d9a3-4d0c-9d00-ec883597aa65 · outbound

This paper cites Theory of function spaces.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Theory of function spaces

Reference 29

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source=pdf_text observed=2026-08-03T05:42:26.386156Z digest=sha256:79512c56f89bd0f3dd6a88d54e2fd7c3045cdfe6b9e814e76eed750cc5004ea3

Observation f6fef176-63a1-4c52-836e-ae3b5a1b6332 · outbound

This paper cites Mean-field limit of non-exchangeable interacting diffusions with singular kernels.To appear in SIAM J.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Mean-field limit of non-exchangeable interacting diffusions with singular kernels.To appear in SIAM J

Reference 30

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source=pdf_text observed=2026-08-03T05:42:26.461817Z digest=sha256:a0d4eae7413b764782c8d71e7f45878b5140febd27466a29edc3c032a9c53055

Observation b1968465-7749-4c9a-879c-a0c9becec835 · outbound

This paper cites Gaussian fluctuations for interacting par- ticle systems with singular kernels.Archive for Rational Mechanics and Analysis, 247(5):101, 2023.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Gaussian fluctuations for interacting par- ticle systems with singular kernels.Archive for Rational Mechanics and Analysis, 247(5):101, 2023

Reference 31

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source=pdf_text observed=2026-08-03T05:42:26.548577Z digest=sha256:1f513cd794c16cc3fe1bc0a236356e856095722ca6b02f748d42822d18972e50

Observation e1e92905-4957-478b-a381-2237ea205334 · outbound

This paper cites Non-exchangeable mean-field theory for adaptive weights: propagation of chaos and graphon sampling lemma.arXiv preprint arXiv:2506.13587, 2025.

Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy Non-exchangeable mean-field theory for adaptive weights: propagation of chaos and graphon sampling lemma.arXiv preprint arXiv:2506.13587, 2025

Reference 32

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Pith citing papers

Observation c437cea3-d486-46e6-9718-fda0e300b7c2 · inbound

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

Universal Central Limit Theorem for non-exchangeable interacting diffusions Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy

Reference 84

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arxiv_id, observed 2026-07-24T02:22:58.225415Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-09T05:46:03.247086Z digest=sha256:2ce5a6bb65e0e98c0f9a948b839bdef9bd7394df1f80503be62e3e1976584a74

Observation 25e999aa-cb5c-49e5-ae40-e7379114c583 · inbound

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels cites this paper.

Quantitative Propagation of Chaos and Fluctuations for Kinetic McKean--Vlasov SDEs with Singular Interaction Kernels Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy

Reference 47

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source=arxiv_source observed=2026-08-02T05:33:04.202546Z digest=sha256:03b1c8bfb9472400c45a147a73d118fb21676569a9058391f6b24ddfe257bbce

Observation 51b3335d-817e-441d-b728-9d42faa21ca0 · inbound

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions cites this paper.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy

Reference 35

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unresolved
no resolver link, observed 2026-08-01T04:51:59.880042Z

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