Paper Citation Record · LEDGER

Data-driven approximation of transfer operators for mean-field stochastic differential equations

As of 21 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 1 inbound Pith citation observation for arXiv:2509.09891.

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

pith.paper-citation-record.v1
2509.09891 v1

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T18:37:45.770043Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-16T17:12:07.369080Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T17:13:08.810495Z

Reference resolution

60 of 60 outbound references displayed

verified exact19
verified fuzzy0
unresolved35
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External citation measurements

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Outbound references

Observation 1d4b6c3a-7009-4e9f-b6bb-d768e82e1293 · outbound

This paper cites Giacomin, S.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Giacomin, S

Reference 1

Resolution: verified exact; doi, observed 2026-08-04T18:38:41.749005Z

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Observation cd5d91b4-d41c-4466-bbb1-0f39534b4915 · outbound

This paper cites Baladron, D.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Baladron, D

Reference 2

Resolution: verified exact; doi, observed 2026-08-04T18:38:41.528721Z

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Observation 2c4301f6-7814-4f2c-95d7-743935387ed7 · outbound

This paper cites Primi, A.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Primi, A

Reference 3

Resolution: verified exact; doi, observed 2026-08-04T18:38:41.346811Z

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Observation 304188f5-9e6b-426a-bfb5-4d3e7cc2e40c · outbound

This paper cites Peruani, A.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Peruani, A

Reference 4

Resolution: verified exact; doi, observed 2026-08-04T18:38:41.144389Z

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Observation ff3f9a41-2b4b-4382-b001-0a7c8d05517d · outbound

This paper cites Fiorelli, M.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Fiorelli, M

Reference 5

Resolution: verified exact; doi, observed 2026-08-04T18:38:41.036908Z

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Observation f26cce7e-2e09-42dc-a276-4eba5878c5c4 · outbound

This paper cites Chazelle, Q.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Chazelle, Q

Reference 6

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Observation 477c9df8-7069-4815-8727-39d29bf35da7 · outbound

This paper cites Garnier, G.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Garnier, G

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-04T18:37:45.633641Z

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Observation 8f122b26-328c-4bb7-ba62-22eff3104df1 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 8

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Observation dc88539d-5f7a-49e9-a014-05c5333138ad · outbound

This paper cites Helfmann, N.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Helfmann, N

Reference 9

Resolution: verified exact; doi, observed 2026-08-04T18:38:40.903993Z

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Observation 8eab0cee-75d9-446c-8f41-53d104863e07 · outbound

This paper cites Degond, J.-G.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Degond, J.-G

Reference 10

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Observation 6eeb79c8-79ed-4cfa-8c4e-53cc386e66c5 · outbound

This paper cites Fouque and L.-H.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Fouque and L.-H

Reference 11

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Observation adac3aae-7d18-4f64-924b-60dde534d322 · outbound

This paper cites Garnier, G.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Garnier, G

Reference 12

Resolution: verified exact; doi, observed 2026-08-04T18:38:40.820530Z

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Observation 84b00406-76dc-424b-9135-097c4dc48b43 · outbound

This paper cites Lasry and P.-L.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Lasry and P.-L

Reference 13

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Observation d6036bd3-4a4b-47b7-8c1f-0be2bba14da4 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 14

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Observation ccb1c6f0-d8a1-4d89-8383-df8bd8ddff35 · outbound

This paper cites Naldi, L.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Naldi, L

Reference 15

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Observation bcad48a3-45c2-4329-a145-ceb56aad532b · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 16

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Observation 2880b41d-4f6b-43c9-a6f3-a74c31b310e2 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 17

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Observation 8833814f-32ba-4cb1-bb2c-547c91f90097 · outbound

This paper cites Lasota and M.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Lasota and M

Reference 18

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Observation 7baecbe5-23e4-4d05-b984-233d4975ae65 · outbound

This paper cites Dellnitz and O.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Dellnitz and O

Reference 19

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Observation 02d09f08-0323-4de7-b467-fc69a4fa7d67 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 20

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Observation 94c7048a-b350-4fd5-b54e-59421b692c45 · outbound

This paper cites an unresolved cited work.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.669675Z

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Observation c96cb96e-4d48-489c-992f-ecaebb76a162 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.672308Z

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Observation 5763ae52-5395-4c0c-8ea9-3888714b1856 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.674953Z

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Observation 9150ac92-a227-4885-89ce-313b8c11d32e · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.677520Z

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Observation 2498645e-9a8b-4169-ab0f-b32a48fc2ff2 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 25

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Observation 09ac98bb-6d6d-4963-a871-bcdbfcaa10b0 · outbound

This paper cites Mardt, L.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Mardt, L

Reference 26

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Observation 1b5ad1dd-2965-4795-a32d-b02299396930 · outbound

This paper cites Schütte and M.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Schütte and M

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.685516Z

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Observation 5450b88e-b2b4-469d-a911-1c52d688cce2 · outbound

This paper cites Noé and F.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Noé and F

Reference 28

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Observation 23330f81-e851-4ef9-8093-1cdcb792b8cb · outbound

This paper cites Martzel and C.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Martzel and C

Reference 29

Resolution: verified exact; doi, observed 2026-08-04T18:38:40.556578Z

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Observation 7e883784-701d-4471-b444-98ccf9c324e4 · outbound

This paper cites an unresolved cited work.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.692937Z

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Observation 377143fd-970b-4e0f-8510-6fa13ca7bdcd · outbound

This paper cites Bertoli, B.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Bertoli, B

Reference 31

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Observation 54434329-69ea-4f0f-8a2c-b9aec0a16bb5 · outbound

This paper cites Bicego, D.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Bicego, D

Reference 32

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Observation 712a9d6b-5140-455e-a5b2-164689c9e64f · outbound

This paper cites On the stability of the invariant probability measures of McKean-Vlasov equations.

Data-driven approximation of transfer operators for mean-field stochastic differential equations On the stability of the invariant probability measures of McKean-Vlasov equations

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.700501Z

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Observation 79b1639e-e14b-40d0-a80f-4e9ae9a9bef7 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 34

Resolution: verified exact; doi, observed 2026-08-04T18:38:40.440972Z

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Observation 75b6afde-6eb1-4086-9086-bbbdd8e7ffa7 · outbound

This paper cites Della Maestra and M.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Della Maestra and M

Reference 35

Resolution: verified exact; doi, observed 2026-08-04T18:38:40.320721Z

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Observation 906f8a9f-973c-4d6c-a125-d98b7ca8d12a · outbound

This paper cites Sharrock, N.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Sharrock, N

Reference 36

Resolution: verified exact; doi, observed 2026-08-04T18:38:40.200774Z

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Observation 3bc5ae7f-a551-41d1-9714-7e9b37e5fac0 · outbound

This paper cites Della Maestra and M.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Della Maestra and M

Reference 37

Resolution: verified exact; doi, observed 2026-08-04T18:38:40.037316Z

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Observation cfb1f428-6031-4ceb-a091-9c62767463a0 · outbound

This paper cites Crisan and E.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Crisan and E

Reference 38

Resolution: verified exact; doi, observed 2026-08-04T18:38:39.887746Z

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Observation 21082697-7bcc-40e3-9fa2-9ac84bf7f07b · outbound

This paper cites Buckdahn, J.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Buckdahn, J

Reference 39

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Observation 1eb94e04-13a9-40f3-a843-f829b27036a6 · outbound

This paper cites Chen and G.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Chen and G

Reference 40

Resolution: verified exact; doi, observed 2026-08-04T18:38:39.735665Z

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Observation c44c357f-1b7d-4246-9827-0adff7f4801d · outbound

This paper cites Belomestny and J.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Belomestny and J

Reference 41

Resolution: verified exact; doi, observed 2026-08-04T18:38:39.435374Z

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Observation ac2665b3-41b8-440f-9ea5-96a5fee0f01d · outbound

This paper cites Notesonmeanfieldgames, 2013.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Notesonmeanfieldgames, 2013

Reference 42

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Observation 2ba0373a-6b6d-4777-85d0-c6d49399a80a · outbound

This paper cites Buckdahn, J.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Buckdahn, J

Reference 43

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Observation bad862d3-11bd-4848-9e40-988ab2ce0940 · outbound

This paper cites Zhang.Backward Stochastic Differential Equations.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Zhang.Backward Stochastic Differential Equations

Reference 44

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Observation d788e115-d099-4fdd-a0e6-17994720e9b0 · outbound

This paper cites dos Reis, G.

Data-driven approximation of transfer operators for mean-field stochastic differential equations dos Reis, G

Reference 45

Resolution: verified exact; doi, observed 2026-08-04T18:38:39.185739Z

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Observation ff156094-29eb-49fd-941e-20abf36abee5 · outbound

This paper cites Number 1 in Grundlehren der mathematischen Wissenschaften.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Number 1 in Grundlehren der mathematischen Wissenschaften

Reference 46

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Observation 353410c0-8774-461c-a837-237a04669db0 · outbound

This paper cites Dynamicalsystemsandcomplexnetworks: AKoopman operator perspective.Journal of Physics: Complexity, 5(4):041001, 2024.doi:10.1088/ 2632-072X/ad9e60.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Dynamicalsystemsandcomplexnetworks: AKoopman operator perspective.Journal of Physics: Complexity, 5(4):041001, 2024.doi:10.1088/ 2632-072X/ad9e60

Reference 47

Resolution: malformed identifier; no resolver link, observed 2026-08-04T18:37:45.737085Z

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Observation c4d02702-171a-48df-9d4d-ba7b879d180f · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.739569Z

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Observation 24db6bcf-78cd-45db-ab24-34fb92032cdc · outbound

This paper cites Data-driven approximation of Koopman operators and generators: Convergence rates and error bounds.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Data-driven approximation of Koopman operators and generators: Convergence rates and error bounds

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.742032Z

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Observation a3f0cc9a-5634-430d-8253-fc75ae34040d · outbound

This paper cites Schütte, S.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Schütte, S

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.744882Z

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Observation 6b0f038c-7b3d-454f-990f-5c43445cc383 · outbound

This paper cites Korda and I.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Korda and I

Reference 51

Resolution: malformed identifier; no resolver link, observed 2026-08-04T18:37:45.747298Z

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Observation 470da306-cfe9-456b-a217-55545e1a6060 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.749768Z

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Observation 7716a587-e496-4814-b040-6e220c9fd4c1 · outbound

This paper cites Kato.Perturbation theory for linear operators.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Kato.Perturbation theory for linear operators

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.752284Z

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Observation beb735c0-e3e3-430c-9d44-ade77588c954 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.754730Z

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Observation fffd936a-1393-486f-86b9-966f7875260a · outbound

This paper cites Angeli, J.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Angeli, J

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.757368Z

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Observation e928a4be-2635-4082-bd2d-7d46a8d4a6df · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 56

Resolution: verified exact; doi, observed 2026-08-04T18:38:38.840160Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 87342c28-3320-434b-bb0a-4152038b5abe · outbound

This paper cites Marjanovic, M.

Data-driven approximation of transfer operators for mean-field stochastic differential equations Marjanovic, M

Reference 57

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Observation 718ec59d-339b-4e0d-bdaa-edd2553badda · outbound

This paper cites ReproducingkernelHilbertspaces in the mean field limit.Kinetic and Related Models, American Institute of Mathematical Sciences, 16(6):850–870, 2023.doi:10.3934/krm.2023010.

Data-driven approximation of transfer operators for mean-field stochastic differential equations ReproducingkernelHilbertspaces in the mean field limit.Kinetic and Related Models, American Institute of Mathematical Sciences, 16(6):850–870, 2023.doi:10.3934/krm.2023010

Reference 58

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Observation 5beaa48f-0ebc-4b86-a130-c781649b0178 · outbound

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Data-driven approximation of transfer operators for mean-field stochastic differential equations Unresolved cited work

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-04T18:37:45.767167Z

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Observation 5083f2d9-73ad-465f-85cf-6f50a4785d51 · outbound

This paper cites sup t∈[0,T]} W2(µt,ˆµt)2 # =E.

Data-driven approximation of transfer operators for mean-field stochastic differential equations sup t∈[0,T]} W2(µt,ˆµt)2 # =E

Reference 60

Resolution: verified exact; doi, observed 2026-08-04T18:38:38.528176Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation f5fff0e5-a709-451b-84b9-9666e1b9b549 · inbound

Data-driven Reduction of Transfer Operators for Particle Clustering Dynamics cites this paper.

Data-driven Reduction of Transfer Operators for Particle Clustering Dynamics Data-driven approximation of transfer operators for mean-field stochastic differential equations

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-16T17:13:08.814023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.