Paper Citation Record · LEDGER

Statistical estimation of a mean-field FitzHugh-Nagumo model

As of 17 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2501.04257.

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

pith.paper-citation-record.v1
2501.04257 v1

Coverage vector

measured 36 of 36 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T21:48:04.786074Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact1
verified fuzzy31
unresolved4
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 62c1f3c8-b3bc-4213-aa41-15a4a698d5d8 · outbound

This paper cites Stochastic mean-field limit: non- L ipschitz forces & swarming.

Statistical estimation of a mean-field FitzHugh-Nagumo model Stochastic mean-field limit: non- L ipschitz forces & swarming

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.232040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 93804bdf-64e5-4086-a5b3-eaf6a350cb4b · outbound

This paper cites Mean-field description and propagation of chaos in networks of H odgkin- H uxley and F itz H ugh- N agumo neurons.

Statistical estimation of a mean-field FitzHugh-Nagumo model Mean-field description and propagation of chaos in networks of H odgkin- H uxley and F itz H ugh- N agumo neurons

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.219132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5e40be71-f19b-409e-bd65-30c2ca0a06b2 · outbound

This paper cites Trend to equilibrium and particle approximation for a weakly selfconsistent V lasov- F okker- P lanck equation.

Statistical estimation of a mean-field FitzHugh-Nagumo model Trend to equilibrium and particle approximation for a weakly selfconsistent V lasov- F okker- P lanck equation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.206774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4a2fb9a4-63b0-4b2e-9b47-7e5d86cc53e7 · outbound

This paper cites Quantitative concentration inequalities for empirical measures on non-compact spaces.

Statistical estimation of a mean-field FitzHugh-Nagumo model Quantitative concentration inequalities for empirical measures on non-compact spaces

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.194764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 60c48428-d278-40dc-bc4f-9bed52fc66ce · outbound

This paper cites A new approach to the mean-field limit of Vlasov-Fokker-Planck equations.

Statistical estimation of a mean-field FitzHugh-Nagumo model A new approach to the mean-field limit of Vlasov-Fokker-Planck equations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T21:48:04.674628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5932895e-68c9-4bd5-8b7c-1d308898c29c · outbound

This paper cites Concentration inequalities: A nonasymptotic theory of independence.

Statistical estimation of a mean-field FitzHugh-Nagumo model Concentration inequalities: A nonasymptotic theory of independence

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T21:48:04.678488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 412d788c-c919-4aa3-a8a5-ad22f4981621 · outbound

This paper cites Parameter estimation of the F itz H ugh- N agumo model using noisy measurements for membrane potential.

Statistical estimation of a mean-field FitzHugh-Nagumo model Parameter estimation of the F itz H ugh- N agumo model using noisy measurements for membrane potential

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.174585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7c25d2bb-c3e8-43d1-bf7e-166d93e22454 · outbound

This paper cites Well-posedness of the limiting equation of a noisy consensus model in opinion dynamics.

Statistical estimation of a mean-field FitzHugh-Nagumo model Well-posedness of the limiting equation of a noisy consensus model in opinion dynamics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.163452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 851c2747-c7ea-4a5c-91ed-6880938f2f70 · outbound

This paper cites Nonparametric estimation for interacting particle systems: M c K ean- V lasov models.

Statistical estimation of a mean-field FitzHugh-Nagumo model Nonparametric estimation for interacting particle systems: M c K ean- V lasov models

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.151260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8915f5ae-3ed5-49d7-8698-3b47c06efead · outbound

This paper cites Mathematical models of threshold phenomena in the nerve membrane.

Statistical estimation of a mean-field FitzHugh-Nagumo model Mathematical models of threshold phenomena in the nerve membrane

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.139774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 79ae2a88-0b8a-41ab-95a0-394e8b164652 · outbound

This paper cites A H ilbertian approach for fluctuations on the mckean-vlasov model.

Statistical estimation of a mean-field FitzHugh-Nagumo model A H ilbertian approach for fluctuations on the mckean-vlasov model

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.127387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c7a50513-9e32-400c-a3d3-9bcc2041a64b · outbound

This paper cites Systemic risk illustrated.

Statistical estimation of a mean-field FitzHugh-Nagumo model Systemic risk illustrated

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.114869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f2d40ec0-1068-44bd-af0a-6f9d882a55ca · outbound

This paper cites Universal pointwise selection rule in multivariate function estimation.

Statistical estimation of a mean-field FitzHugh-Nagumo model Universal pointwise selection rule in multivariate function estimation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.103554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2336cf53-a5dc-4e7d-a5c3-ac9d84d7547f · outbound

This paper cites Transport Inequalities. A Survey.

Statistical estimation of a mean-field FitzHugh-Nagumo model Transport Inequalities. A Survey

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T21:48:04.705284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48754c07-55ee-4c4f-bc6f-b9a71e04993d · outbound

This paper cites Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality.

Statistical estimation of a mean-field FitzHugh-Nagumo model Bandwidth selection in kernel density estimation: oracle inequalities and adaptive minimax optimality

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.092214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b37571fb-6bd4-424d-91cb-1dbc121d4770 · outbound

This paper cites On adaptive minimax density estimation on R^d.

Statistical estimation of a mean-field FitzHugh-Nagumo model On adaptive minimax density estimation on R^d

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.081570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f3cd9a58-b879-4591-8f30-15ba2f0f0d0d · outbound

This paper cites The kinetic F okker- P lanck equation with mean field interaction.

Statistical estimation of a mean-field FitzHugh-Nagumo model The kinetic F okker- P lanck equation with mean field interaction

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.069452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a70e9f83-5879-44b6-b184-d11eeb64b807 · outbound

This paper cites A quantitative description of membrane current and its application to conduction and excitation in nerve.

Statistical estimation of a mean-field FitzHugh-Nagumo model A quantitative description of membrane current and its application to conduction and excitation in nerve

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.054718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 17c4e998-b2cd-4c48-83e6-f054b1f178d1 · outbound

This paper cites Markov chain monte carlo approach to parameter estimation in the F itz H ugh-nagumo model.

Statistical estimation of a mean-field FitzHugh-Nagumo model Markov chain monte carlo approach to parameter estimation in the F itz H ugh-nagumo model

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.042825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ff4e531e-f172-4460-8d8b-70f3df1ddb45 · outbound

This paper cites Explicit parametrix and local limit theorems for some degenerate diffusion processes.

Statistical estimation of a mean-field FitzHugh-Nagumo model Explicit parametrix and local limit theorems for some degenerate diffusion processes

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.031259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f3c43e2b-5a93-4fc4-8188-09cc8aa96123 · outbound

This paper cites On a strong form of propagation of chaos for M c K ean- V lasov equations.

Statistical estimation of a mean-field FitzHugh-Nagumo model On a strong form of propagation of chaos for M c K ean- V lasov equations

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.018534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b0ea4ab4-89e4-40e9-a4a5-7ad008f205a4 · outbound

This paper cites Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model.

Statistical estimation of a mean-field FitzHugh-Nagumo model Periodicity induced by noise and interaction in the kinetic mean-field FitzHugh-Nagumo model

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:48:04.826544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3685c4a1-7b65-4380-877d-dace0c76d934 · outbound

This paper cites Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction: A slow-fast dynamics approach.

Statistical estimation of a mean-field FitzHugh-Nagumo model Emergence of oscillatory behaviors for excitable systems with noise and mean-field interaction: A slow-fast dynamics approach

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:05.007863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3727d722-a89d-4d33-82a9-1132ce023c95 · outbound

This paper cites Stochastic differential equations and applications.

Statistical estimation of a mean-field FitzHugh-Nagumo model Stochastic differential equations and applications

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T21:48:04.741084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cb3502e-e8c9-49ad-96d1-4d828ad78ce2 · outbound

This paper cites A non-local model for a swarm.

Statistical estimation of a mean-field FitzHugh-Nagumo model A non-local model for a swarm

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.990403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a68d9149-6283-400e-9877-eeeb6e8e8d4e · outbound

This paper cites A class of M arkov processes associated with nonlinear parabolic equations.

Statistical estimation of a mean-field FitzHugh-Nagumo model A class of M arkov processes associated with nonlinear parabolic equations

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.977973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 37264dac-5610-48e9-8b1c-fb152d096295 · outbound

This paper cites On a kinetic F itzhugh-- N agumo model of neuronal network.

Statistical estimation of a mean-field FitzHugh-Nagumo model On a kinetic F itzhugh-- N agumo model of neuronal network

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.964984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8871d4bb-a4c0-4d93-a506-c59c8377b11f · outbound

This paper cites An active pulse transmission line simulating nerve axon.

Statistical estimation of a mean-field FitzHugh-Nagumo model An active pulse transmission line simulating nerve axon

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.953103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8ba11a47-3ea4-4d2d-a8b0-5710b0f298a4 · outbound

This paper cites Stochastic Integration and Differential Equations , volume 21.

Statistical estimation of a mean-field FitzHugh-Nagumo model Stochastic Integration and Differential Equations , volume 21

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.942509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ef215c6e-a278-43bc-87a1-170538a10be8 · outbound

This paper cites Parameter estimation with dense and convolutional neural networks applied to the F itz H ugh-- N agumo ode.

Statistical estimation of a mean-field FitzHugh-Nagumo model Parameter estimation with dense and convolutional neural networks applied to the F itz H ugh-- N agumo ode

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.931308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9963f3d3-5507-4eb0-bb83-b8d037611689 · outbound

This paper cites The FitzHugh-Nagumo model: bifurcation and dynamics , volume 10.

Statistical estimation of a mean-field FitzHugh-Nagumo model The FitzHugh-Nagumo model: bifurcation and dynamics , volume 10

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.920575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 388aad9e-3e97-462d-930a-1b4ea343a370 · outbound

This paper cites Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated.

Statistical estimation of a mean-field FitzHugh-Nagumo model Nonlinear reflecting diffusion process, and the propagation of chaos and fluctuations associated

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.908594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 975428cf-cf45-418e-8c08-c79bc7c62283 · outbound

This paper cites Topics in propagation of chaos.

Statistical estimation of a mean-field FitzHugh-Nagumo model Topics in propagation of chaos

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.897036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ed88abfd-81c0-4dfe-9be2-edea4396d59d · outbound

This paper cites Central limit theorem for a simple diffusion model of interacting particles.

Statistical estimation of a mean-field FitzHugh-Nagumo model Central limit theorem for a simple diffusion model of interacting particles

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.886096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8703f1d3-659b-45b1-ad25-f82cbab1f67b · outbound

This paper cites Introduction to Nonparametric Estimation.

Statistical estimation of a mean-field FitzHugh-Nagumo model Introduction to Nonparametric Estimation

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.873686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 68caa2a6-88dc-4c6f-a473-bf21d73aee26 · outbound

This paper cites Large and moderate deviations and exponential convergence for stochastic damping H amiltonian systems.

Statistical estimation of a mean-field FitzHugh-Nagumo model Large and moderate deviations and exponential convergence for stochastic damping H amiltonian systems

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:48:04.861768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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