Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:26:51.150642Z
Paper Citation Record · LEDGER
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation
As of 17 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1908.03375.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
41 of 41 outbound references displayed
- verified exact1
- verified fuzzy30
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9e9b0e4e-90e3-47fd-84c9-8d6a39e4efc8 · outbound
This paper cites 11, 2041–2069.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 11, 2041–2069
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.825479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f12bb2e3-db6a-4a6a-b012-16b31812b998 · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.810221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 40b71346-c910-4f59-b4e6-b44e1072ee73 · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.793419Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 43771777-4849-4797-8a06-2cfd839547ac · outbound
This paper cites 2, 247–262.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 2, 247–262
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.777538Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b079668d-7923-47df-b91c-a503bd5d9184 · outbound
This paper cites Carrillo, and Nader Masmoudi, Infinite time aggregation for the critical Patlak-Keller-S egel model in R2, Communications on Pure and Applied Mathematics 61 (2008), no.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Carrillo, and Nader Masmoudi, Infinite time aggregation for the critical Patlak-Keller-S egel model in R2, Communications on Pure and Applied Mathematics 61 (2008), no
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.761665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 1461afad-d1a6-43b1-84a8-d2fd0e662e75 · outbound
This paper cites 44, 1–33.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 44, 1–33
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.745669Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 46261308-013b-4076-bc97-484f5b7a614d · outbound
This paper cites 9, 708–720.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 9, 708–720
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.730876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 70bb9c8f-b7a3-4380-ae11-f75efa0c3e50 · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.715797Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5267fe57-81fe-40d8-a7f9-f80e03f7b6ad · outbound
This paper cites 1, 107–142.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 1, 107–142
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.699837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0a1f2707-2690-4c6c-bd7b-92f99a756cad · outbound
This paper cites 04, 791–823.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 04, 791–823
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.683991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 69f622db-6f5e-4cb4-a74a-5f75cf16293a · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.668220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7c91717e-1256-4b95-8614-3200c930d785 · outbound
This paper cites 6, 3740–3803.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 6, 3740–3803
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.653401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f76a5f48-2f4b-455c-b0a4-3a64691472b7 · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.637201Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f84a3810-225e-4e72-8921-6692eaf33902 · outbound
This paper cites The 2-D stochastic Keller-Segel particle model : existence and uniqueness.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation The 2-D stochastic Keller-Segel particle model : existence and uniqueness
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:26:51.198437Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e433eabc-c5d3-4ed5-a8f5-cd590b7804fd · outbound
This paper cites 3, 573–592.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 3, 573–592
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.622290Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 17d1a774-5ea1-468a-b61b-4bacd55d8cb2 · outbound
This paper cites 3, 1407–1442.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 3, 1407–1442
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.606247Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6977533f-706b-47b6-8110-7d24becab05b · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.591176Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation adcb5d99-3ad9-41f9-8a7b-a517cff3dcca · outbound
This paper cites 9, 611–616.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 9, 611–616
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.576822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d5e7cacc-b524-4d19-80fb-471de8bd2e75 · outbound
This paper cites 2, 175–219.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 2, 175–219
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.561600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e288308e-e17f-47e1-b5b5-2d6f94b0b9a3 · outbound
This paper cites 12, 2909.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 12, 2909
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.546591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 28a7ea22-136d-4875-8c72-faa5dd120bf0 · outbound
This paper cites Fetecau, Hui Huang, and W eiran Sun, Propagation of chaos for the Keller-Segel equation over bou nded domains, Journal of Differential Equations 266 (2019), no.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Fetecau, Hui Huang, and W eiran Sun, Propagation of chaos for the Keller-Segel equation over bou nded domains, Journal of Differential Equations 266 (2019), no
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.532502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 34ec4a7c-33d6-44dd-be8f-7d4bb544a112 · outbound
This paper cites 5, 2807–2861.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 5, 2807–2861
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.517129Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cdbaa67f-767f-4c14-9dfc-25b613a916a3 · outbound
This paper cites 6, 940–960.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 6, 940–960
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.502581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6e82324d-7f68-495d-adbc-7087a5cef22d · outbound
This paper cites 10, 437–479.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 10, 437–479
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.487569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b6057085-57a9-477b-bcf6-a4544bc24b41 · outbound
This paper cites Painter, A user’s guide to PDE models for chemotaxis , Journal of mathematical biology 58 (2009), no.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Painter, A user’s guide to PDE models for chemotaxis , Journal of mathematical biology 58 (2009), no
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.471997Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6ae3f132-0285-4cae-8a6a-c569c0f85ff1 · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.456716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4284388f-d832-4b2b-b845-d2fee15b5c75 · outbound
This paper cites 4, 715–748.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 4, 715–748
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.441728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5ba636aa-35ce-44e9-8584-46a5ad605cac · outbound
This paper cites 7, 1821–1842.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 7, 1821–1842
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.427444Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 41f14944-b316-4108-b952-71d5f3eee7aa · outbound
This paper cites 308, 2719–2744.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 308, 2719–2744
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.412240Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 84432ef3-e2d5-4bee-a00a-8de0f6167edb · outbound
This paper cites 01, 1–29.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 01, 1–29
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.395666Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e62a58a3-c388-40d0-a831-eab36633aef6 · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.379809Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6dbb5aaa-2075-4c60-a4da-2a9770b54187 · outbound
This paper cites 2, 819–824.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 2, 819–824
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.363065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a6d8b3e5-317d-4a88-baf0-d6d28c2b4b7f · outbound
This paper cites 1, 118–152.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 1, 118–152
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.347083Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c4c63e95-7dc6-4309-8599-55682ea1a1a5 · outbound
This paper cites Shreve, Brownian motion and stochastic calculus , Springer Science & Business Media, 1998.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Shreve, Brownian motion and stochastic calculus , Springer Science & Business Media, 1998
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.330146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ca65aff7-6189-4604-9376-bf9a2f087821 · outbound
This paper cites Keller and Lee A.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Keller and Lee A
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.313252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d773cccc-fc92-4ed5-bb39-9cac69568913 · outbound
This paper cites Krylov, An analytic approach to SPDEs , Vol.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Krylov, An analytic approach to SPDEs , Vol
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.298129Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 03bac8f5-6544-4c13-985a-03839ca2efac · outbound
This paper cites Krylov, Itˆ o’s formula for theLp-norm of stochastic W 1 p -valued processes, Probability theory and related fields 147 (2010), no.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Krylov, Itˆ o’s formula for theLp-norm of stochastic W 1 p -valued processes, Probability theory and related fields 147 (2010), no
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.282042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0201ff5c-de84-4ae2-a26e-6fb0a8cb2073 · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.266144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 25608bef-5ffc-4ce0-a674-2edf14eeccb8 · outbound
This paper cites an unresolved cited work.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:26:51.250340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 082f6563-a054-438e-99b7-3d0220f99f9c · outbound
This paper cites 1, 64–95.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation 1, 64–95
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.233849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 322c375d-3f34-4034-a359-ac0a3c49cf8e · outbound
This paper cites Department of Mathematics, Technische Universit ¨at M ¨unchen, Boltzmannstr.
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation Department of Mathematics, Technische Universit ¨at M ¨unchen, Boltzmannstr
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:26:51.215880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.