Paper Citation Record · LEDGER

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions

As of 11 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.22470.

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pith.paper-citation-record.v1
2607.22470 v1

Coverage vector

measured 37 of 37 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T04:52:00.116339Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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Reference resolution

37 of 37 outbound references displayed

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Outbound references

Observation f252d47e-2cc5-44b1-88e5-4a462b55ab45 · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Graphon mean field systems.The Annals of Applied Probability, 33(5):3587–3619, 2023

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:57.256900Z

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Observation 4107df86-dc41-4c48-a646-db469ccc2fb7 · outbound

This paper cites Weakly interacting particle systems on inhomogeneous random graphs.Stochastic Processes and their Applications, 129(6):2174–2206,.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Weakly interacting particle systems on inhomogeneous random graphs.Stochastic Processes and their Applications, 129(6):2174–2206,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:57.339344Z

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Observation c822521e-2ef5-4f52-8a45-a6e0f290354b · outbound

This paper cites The vlasov dynamics and its fluctuations in the 1/n limit of interacting classical particles.Communications in mathematical physics, 56(2):101–113, 1977.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions The vlasov dynamics and its fluctuations in the 1/n limit of interacting classical particles.Communications in mathematical physics, 56(2):101–113, 1977

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:57.420963Z

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Observation 51ed999f-21e7-4cb1-a3c8-989fbcc8f1eb · outbound

This paper cites Walter de Gruyter GmbH & Co KG, 2018.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Walter de Gruyter GmbH & Co KG, 2018

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:57.504099Z

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Observation d6b67409-9474-4ec7-9864-0225b91ddea7 · outbound

This paper cites Some fluctuation results for weakly interacting multi-type particle systems.Stochastic Processes and their Applications, 126(8):2253–2296, 2016.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Some fluctuation results for weakly interacting multi-type particle systems.Stochastic Processes and their Applications, 126(8):2253–2296, 2016

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:57.578615Z

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Observation 693e3263-1380-45b2-96dd-5ad423f9ceb9 · outbound

This paper cites A Law of Large Numbers and Large Deviations for interacting diffusions on Erd\H{o}s-R\'enyi graphs.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions A Law of Large Numbers and Large Deviations for interacting diffusions on Erd\H{o}s-R\'enyi graphs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:57.698228Z

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Observation 1088fb6f-2a03-4754-864d-701232690bd9 · outbound

This paper cites Central limit theorems for global and local empirical measures of diffusions on erd˝ os-r´ enyi graphs.Electronic Journal of Probability, 28:1–63, 2023.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Central limit theorems for global and local empirical measures of diffusions on erd˝ os-r´ enyi graphs.Electronic Journal of Probability, 28:1–63, 2023

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:57.817612Z

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Observation f869efcc-fd61-4a4c-9c0f-d11960e195d8 · outbound

This paper cites Cambridge university press, 2014.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Cambridge university press, 2014

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:57.943712Z

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Observation 52fc79f6-0791-4acf-b3b1-5aee4aea0700 · outbound

This paper cites A note on dynamical models on random graphs and fokker–planck equations.Journal of Statistical Physics, 165(4):785–798, 2016.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions A note on dynamical models on random graphs and fokker–planck equations.Journal of Statistical Physics, 165(4):785–798, 2016

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.020083Z

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Observation a4c5addf-33de-40c1-9d41-d20becd0b391 · outbound

This paper cites Sequential propagation of chaos.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Sequential propagation of chaos

Reference 10

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Observation 027019e6-008e-4aa3-8b71-1dc77aa3142e · outbound

This paper cites John Wiley & Sons, 2011.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions John Wiley & Sons, 2011

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.187130Z

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Observation 3f6e0859-acda-49b2-be88-ed3b0ae5c1aa · outbound

This paper cites A hilbertian approach for fluctuations on the mckean- vlasov model.Stochastic processes and their applications, 71(1):33–53, 1997.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions A hilbertian approach for fluctuations on the mckean- vlasov model.Stochastic processes and their applications, 71(1):33–53, 1997

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.229272Z

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Observation 1df2702c-c275-4f23-bfba-1ae488234514 · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Propagation of chaos for the 2d viscous vortex model.Journal of the European Mathematical Society, 16(7):1423–1466, 2014

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.309484Z

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Observation 2dbdb21d-7fb3-44db-a796-8325c604b800 · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions A review of the mean field limits for vlasov equations.Kinetic & Related Models, 7(4):661, 2014

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.391858Z

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Observation b8a34030-ea70-44d0-ae92-14252e34a890 · outbound

This paper cites Mean-field limit of non-exchangeable systems.Communications on Pure and Applied Mathematics, 78(4):651–741, 2025.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Mean-field limit of non-exchangeable systems.Communications on Pure and Applied Mathematics, 78(4):651–741, 2025

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.436162Z

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Observation d439e1f2-edee-42b2-939b-5475334d4cd2 · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Quantitative estimates of propagation of chaos for stochastic systems withw −1,∞ kernels.Inventiones mathematicae, 214(1):523–591, 2018

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.508730Z

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Observation 5c34c038-270c-4a82-94fc-ac20b4289306 · outbound

This paper cites Shiryaev.Limit Theorems for Stochastic Processes.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Shiryaev.Limit Theorems for Stochastic Processes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.553834Z

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Observation bc90b08a-9392-4991-aefd-34a96e7430d0 · outbound

This paper cites Courier Dover Publications, 2017.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Courier Dover Publications, 2017

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.672210Z

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Observation d6b24dff-9be5-4aee-9875-9af79967b136 · outbound

This paper cites Weak and strong solutions of general stochastic models.Electronic Commu- nications in Probability, 19, 2014.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Weak and strong solutions of general stochastic models.Electronic Commu- nications in Probability, 19, 2014

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.753899Z

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Observation d997cd34-c45e-4bf9-a4e5-ab85bdd4c825 · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Hierarchies, entropy, and quantitative propagation of chaos for mean field diffusions.Probability and mathematical physics, 4(2):377–432, 2023

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.796927Z

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Observation 5e953dfa-3174-4baf-a7b3-6e3aa1d70beb · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Quantitative propagation of chaos for non-exchangeable diffusions via first-passage percolation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.841160Z

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Observation e7e2ce5a-d7ba-477f-b774-58fe1f68e753 · outbound

This paper cites On the fluctuations about the vlasov limit for n-particle systems with mean- field interactions.Journal of Statistical Physics, 136(4):643–665, 2009.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions On the fluctuations about the vlasov limit for n-particle systems with mean- field interactions.Journal of Statistical Physics, 136(4):643–665, 2009

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.885980Z

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Observation 6f2574b1-e32c-4952-824f-55d87ee4d54a · outbound

This paper cites Springer, 2015.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Springer, 2015

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:58.960993Z

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Observation a0101729-5b2d-4d3f-81d4-f6c250461cff · outbound

This paper cites Transition from gaussian to non-gaussian fluctuations for mean-field diffusions in spatial interaction.The Annals of Applied Probability, 26(6):3840–3909, 2016.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Transition from gaussian to non-gaussian fluctuations for mean-field diffusions in spatial interaction.The Annals of Applied Probability, 26(6):3840–3909, 2016

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:59.006182Z

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Observation 6c7c721f-0cfd-4d03-a4a9-8ccf27de30b8 · outbound

This paper cites an unresolved cited work.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:59.085992Z

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Observation 13702990-a2b7-44eb-bec2-772770393518 · outbound

This paper cites Fluctuations in the kinetic theory of gases.Communications on pure and applied mathematics, 28(4):435–455, 1975.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Fluctuations in the kinetic theory of gases.Communications on pure and applied mathematics, 28(4):435–455, 1975

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:59.130976Z

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Observation d53dca77-2f86-469d-b2c6-717f28460253 · outbound

This paper cites Asymptotic behaviour of some interacting particle systems; mckean-vlasov and boltzmann models.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Asymptotic behaviour of some interacting particle systems; mckean-vlasov and boltzmann models

Reference 27

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Observation 5a0f6d23-cd5f-4776-8e90-76b0ac5250f4 · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Mean field limit for coulomb-type flows.Duke Mathematical Journal, 169(15):2887–2935, 2020

Reference 28

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Observation a837bc8a-1d36-41c8-a937-053855f19e74 · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Universal Central Limit Theorem for non-exchangeable interacting diffusions

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:59.331184Z

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Observation 49885799-b914-445f-98d9-1766bd5dbe75 · outbound

This paper cites Topics in propagation of chaos.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Topics in propagation of chaos

Reference 30

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Observation 68f5f1e4-b42f-4792-9f99-d55fd13493f2 · outbound

This paper cites Limit theorems for certain diffusion processes with interaction.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Limit theorems for certain diffusion processes with interaction

Reference 31

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Observation 2476cd31-2d30-434f-aa04-0ccf6dbdbfbf · outbound

This paper cites Central limit theorem for a simple diffusion model of interacting particles.Hiroshima Mathematical Journal, 11(2):415–423, 1981.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Central limit theorem for a simple diffusion model of interacting particles.Hiroshima Mathematical Journal, 11(2):415–423, 1981

Reference 32

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Observation d5da18e6-5e70-4962-8e20-d284ab55ed52 · outbound

This paper cites Birkh¨ auser, Basel, 1992.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Birkh¨ auser, Basel, 1992

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:59.712371Z

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Observation c68060b6-ffa0-4b72-a645-c97f3f46971d · outbound

This paper cites Cambridge University Press, 2018.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Cambridge University Press, 2018

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T04:51:59.772338Z

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

This paper cites Quantitative Convergence for Sequential Interacting Diffusions via Incremental Relative Entropy.

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

Reference 35

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Observation 7533bfb2-5951-47b6-8e66-d5b2f721cb21 · outbound

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

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Gaussian fluctuations for interacting par- ticle systems with singular kernels.Archive for Rational Mechanics and Analysis, 247(5):101, 2023

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T04:52:00.052038Z

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Observation cd321150-ea25-4b90-8fc1-94aaf5b655a2 · outbound

This paper cites Stochastic volterra equations in banach spaces and stochastic partial differ- ential equation.Journal of Functional Analysis, 258(4):1361–1425, 2010.

A Logarithmic Fluctuation Hierarchy for Sequential Interacting Diffusions Stochastic volterra equations in banach spaces and stochastic partial differ- ential equation.Journal of Functional Analysis, 258(4):1361–1425, 2010

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-01T04:52:00.116339Z

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