Paper Citation Record · LEDGER

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity

As of 17 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2505.15617.

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

pith.paper-citation-record.v1
2505.15617 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:23:18.091255Z

measured 28 of 28 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

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

verified exact4
verified fuzzy19
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a0dcd14c-3621-4ca9-ba2b-67adb21e9ec3 · outbound

This paper cites Elsevier, 2003.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Elsevier, 2003

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T15:23:15.773667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6b65dd2-1917-4ba0-9319-278f686b657d · outbound

This paper cites John Wiley & Sons, 1999.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity John Wiley & Sons, 1999

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T15:23:15.810784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc6be375-b164-4928-be1a-41754fb89e28 · outbound

This paper cites Springer, 2019.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Springer, 2019

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:22.296775Z

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 c32e7d7a-f749-4643-a84b-615bb6515157 · outbound

This paper cites Fluctuations for mean-field interacting age-dependent Hawkes processes.Electronic Journal of Probability, 22, 2017.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Fluctuations for mean-field interacting age-dependent Hawkes processes.Electronic Journal of Probability, 22, 2017

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:22.114987Z

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 1f9b50a6-40ce-4f16-8d41-4ee52204ce89 · outbound

This paper cites A general age-dependent branching process.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity A general age-dependent branching process

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:21.966610Z

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 9b88ea53-c514-4816-a404-3f56d49ddf25 · outbound

This paper cites John Wiley & Sons, 2009.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity John Wiley & Sons, 2009

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T15:23:16.072206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e08e69f-e4f0-43de-9c8c-0ff8bf428b81 · outbound

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

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity A hilbertian approach for fluctuations on the mckean-vlasov model

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:21.753627Z

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 8197bb5f-e44c-4ba8-a078-9c8cc393a9dd · outbound

This paper cites Epidemic models with varying infectivity.SIAM Journal on Applied Mathematics, 81(5):1893–1930, 2021.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Epidemic models with varying infectivity.SIAM Journal on Applied Mathematics, 81(5):1893–1930, 2021

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:21.558581Z

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 a9ab2108-56a6-4d3d-86db-1c256cef7b7b · outbound

This paper cites Stochastic epidemic models with varying infectivity and waning immunity.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Stochastic epidemic models with varying infectivity and waning immunity

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:23:19.181814Z

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 67ce23ab-058a-4618-a429-245988f84588 · outbound

This paper cites From individual-based epidemic models to McKendrick-von Foerster PDEs: A guide to modeling and inferring COVID-19 dynamics.J.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity From individual-based epidemic models to McKendrick-von Foerster PDEs: A guide to modeling and inferring COVID-19 dynamics.J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:21.403972Z

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 320fd6ca-432f-43c5-a8f2-cdf4c1858abc · outbound

This paper cites Optimal vaccination policy to prevent endemicity: a stochastic model.Journal of Mathematical Biology, 90(1):1–55, 2025.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Optimal vaccination policy to prevent endemicity: a stochastic model.Journal of Mathematical Biology, 90(1):1–55, 2025

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:21.243756Z

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 7d0ea9c7-1d80-4a70-a2c4-4ba50f424c62 · outbound

This paper cites Gu´ erin and A.-B.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Gu´ erin and A.-B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:21.077332Z

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 1eed9dbd-6e44-4cc0-9fca-6645a48e7b13 · outbound

This paper cites A stochastic epidemic model with memory of the last infection and waning immunity.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity A stochastic epidemic model with memory of the last infection and waning immunity

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:23:18.967983Z

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 c24fd884-6ab5-4f8b-a166-92bdeaaab6fa · outbound

This paper cites Weak convergence of sequences of semimartingales with applications to multitype branching processes.Advances in Applied Probability, 18(1):20–65, 1986.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Weak convergence of sequences of semimartingales with applications to multitype branching processes.Advances in Applied Probability, 18(1):20–65, 1986

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:20.856774Z

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 c38c664e-6e82-455b-a16d-9dd38542026c · outbound

This paper cites Spatial sir epidemic model with varying infectivity without movement of individuals: Law of large numbers.arXiv preprint arXiv:2412.01673, 2024.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Spatial sir epidemic model with varying infectivity without movement of individuals: Law of large numbers.arXiv preprint arXiv:2412.01673, 2024

Reference 15

Resolution: verified exact; raw_fallback, observed 2026-08-07T15:23:18.641160Z

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 bbbeaa73-0a2b-43bd-ad7a-868b72b89fcf · outbound

This paper cites McKendrick.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity McKendrick

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:20.723323Z

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 dc12917a-eceb-42db-9a93-17fc60d5c99e · outbound

This paper cites McKendrick.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity McKendrick

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:20.479084Z

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 2c4de6d7-45b7-411f-8b65-3584b1131df5 · outbound

This paper cites McKendrick.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity McKendrick

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:20.352328Z

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 c361e9fe-d1ee-4a6b-9343-d40a2144f623 · outbound

This paper cites Springer, 2006.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Springer, 2006

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:20.236537Z

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 d04c2295-ee43-4038-a6b5-abafa027ee1b · outbound

This paper cites Functional central limit theorems for epidemic models with varying infectivity.Stochastics, pages 1–48, 2022.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Functional central limit theorems for epidemic models with varying infectivity.Stochastics, pages 1–48, 2022

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:20.104001Z

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 50b357e8-b361-4b00-a4d0-bffee4cf6e9a · outbound

This paper cites Functional limit theorems for non-markovian epidemic models.The Annals of Applied Probability, 32(3):1615–1665, 2022.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Functional limit theorems for non-markovian epidemic models.The Annals of Applied Probability, 32(3):1615–1665, 2022

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:19.984837Z

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 9b749ef2-9755-4038-807e-88beecad4441 · outbound

This paper cites Functional law of large numbers and pdes for epidemic models with infection-age dependent infectivity.Applied Mathematics & Optimization, 87(3):50, 2023.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Functional law of large numbers and pdes for epidemic models with infection-age dependent infectivity.Applied Mathematics & Optimization, 87(3):50, 2023

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:19.890548Z

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 1ca8507e-dce5-458d-ba82-7c24b2839984 · outbound

This paper cites SPDE for stochastic SIR epidemic models with infection-age dependent infectivity.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity SPDE for stochastic SIR epidemic models with infection-age dependent infectivity

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:23:18.299519Z

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 987086ea-f1c0-41aa-b12f-5127f2c6ad7c · outbound

This paper cites Stochastic heterogeneous SIR model with infection-age dependent infectivity on large random graphs.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Stochastic heterogeneous SIR model with infection-age dependent infectivity on large random graphs

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T15:23:17.674803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c57068b-62e1-4db3-8619-8bedcbf70584 · outbound

This paper cites PhD thesis, Universit´ e de Nanterre-Paris X, 2006.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity PhD thesis, Universit´ e de Nanterre-Paris X, 2006

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:19.765831Z

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 76a2b68f-dbe6-4fab-93aa-f73a839b882d · outbound

This paper cites Springer Science & Business Media, 2012.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Springer Science & Business Media, 2012

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T15:23:17.838148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb4d56cd-4315-4204-8f8c-1b83da0e5bd5 · outbound

This paper cites Weighted norm inequality in the variable Lebesgue spaces for Bergman Projector on the unit ball ofC n.PhD thesis, Aix-Marseille Universit´ e, 2024.

Functional Central Limit Theorem and SPDE for epidemic model with memory of the last infection and waning immunity Weighted norm inequality in the variable Lebesgue spaces for Bergman Projector on the unit ball ofC n.PhD thesis, Aix-Marseille Universit´ e, 2024

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:19.649288Z

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 55ea6a58-8482-4929-9ecc-0ba5517fb862 · outbound

This paper cites Functional central limit theorems for epidemic models with varying infectivity and waning immunity.ESAIM: Probability and Statistics, 29:45–112, 2025.

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:23:19.434798Z

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.

Pith citing papers

No inbound Pith citation observations are available.