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Paper Citation Record · LEDGER

Operator theoretic causality analysis of fluid flows using linearized dynamics

As of 22 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:2506.08118.

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

pith.paper-citation-record.v1
2506.08118 v3

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:26:47.000644Z

measured 58 of 58 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

58 of 58 outbound references displayed

  • verified exact1
  • verified fuzzy55
  • unresolved2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59fc5910-fc4e-46d8-99ae-28d2ac45f4af · outbound

This paper cites , " * write output.state after.block = add.period write newline.

Operator theoretic causality analysis of fluid flows using linearized dynamics , " * write output.state after.block = add.period write newline

Reference 1

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7c032349-ff67-4b1b-9aea-c326a2dcc3a0 · outbound

This paper cites write newline.

Operator theoretic causality analysis of fluid flows using linearized dynamics write newline

Reference 2

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4a89c8b9-b443-469c-a745-3cafee5baf75 · outbound

This paper cites , Cavalieri, A.V.G.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Cavalieri, A.V.G

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 59162146-e742-446b-9171-c32ed0257b6c · outbound

This paper cites & Sameshima, K.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Sameshima, K

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation bfecddd3-92fc-444a-9a73-13f5ccef5a8a · outbound

This paper cites , Encinar, M.P.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Encinar, M.P

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e8af453a-ced1-43cc-b230-9e9f3f20c70e · outbound

This paper cites & Bossomaier, T.R.J.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Bossomaier, T.R.J

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ab813d6e-c48c-46cc-9a9b-87267bba43a5 · outbound

This paper cites & Seth, A.K.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Seth, A.K

Reference 7

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 991feba8-b1cd-49e9-a85c-0e29500308cf · outbound

This paper cites & Seth, A.K.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Seth, A.K

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation ef46002f-b6f6-4f3d-b9f0-3f26022d0945 · outbound

This paper cites 2003 A numerical algorithm to solve A^TX A-X = Q.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2003 A numerical algorithm to solve A^TX A-X = Q

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d38cfe4a-f069-4180-8ef3-8a89028262a1 · outbound

This paper cites & Piersol, A.G.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Piersol, A.G

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 07bd4497-9519-40e9-82d4-1e666b214055 · outbound

This paper cites , Holmes, P.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Holmes, P

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c31cfbf4-2f6d-46b7-9650-9e30f768a926 · outbound

This paper cites John Wiley & Sons, New York.

Operator theoretic causality analysis of fluid flows using linearized dynamics John Wiley & Sons, New York

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.886801Z digest=sha256:8be37ac0cb5820453ba1f6ba413043b4e07e53fa7cb6ec2f0a077c703855a628

Observation 30c006b2-7031-4a22-bd88-b9e39e7c9b7a · outbound

This paper cites , Gallusser, F.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Gallusser, F

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.360178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d432686d-6a87-45b5-9919-063c05221102 · outbound

This paper cites & Goldburg, W.I.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Goldburg, W.I

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation f42fd421-d6db-48b9-9153-d58e558b93a1 · outbound

This paper cites & Jimenez, J.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Jimenez, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.346665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.894153Z digest=sha256:9db4f01aae5fd608395f17544608232e599d3ff90f567d04dfa73a08eb86f2d4

Observation fafe854f-c223-4fef-a991-593725242c7e · outbound

This paper cites , Gaviglio, J.J.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Gaviglio, J.J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.340100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.896516Z digest=sha256:8b75bbfa0c9214bfd0d101a5db0a38971b8620db679b7b80b96ccfffd122858d

Observation 9c55093c-cc62-47c3-929e-b205114ab5d4 · outbound

This paper cites 1969 Investigating causal relations by econometric models and cross-spectral methods.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1969 Investigating causal relations by econometric models and cross-spectral methods

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.332883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.899562Z digest=sha256:3626646768a91aa94b2f45927b8c970b691250c522898f038a9828ace47fc60a

Observation c6b471f3-3661-4530-bd81-eb853782415f · outbound

This paper cites 1986 Excitation of direct resonances in plane P oiseuille flow.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1986 Excitation of direct resonances in plane P oiseuille flow

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.902089Z digest=sha256:3de8dd5b00a66d88441e4a026ae7b69d11647eee98d7255ce71048f16290a5e1

Observation b2430db8-87d6-4b9d-922d-d661e59f8abd · outbound

This paper cites 1965 The environment and disease: association or causation?.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1965 The environment and disease: association or causation?

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.904469Z digest=sha256:731f58452a5d1dfd053c0182e00c3788b4c11ff1c1de03fc357ba6b474d41973

Observation 1f1a31c9-eeb2-4c6e-b928-0d61fca5b634 · outbound

This paper cites , Lumley, J.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Lumley, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.310628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.906937Z digest=sha256:fa48216d91220fffcf7149a272f3600ff1e6cf644226122acf197436fdfc2937

Observation 01e0ae79-9517-4d88-bc41-007cd450687c · outbound

This paper cites & Rowley, C.W.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Rowley, C.W

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.304076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.909256Z digest=sha256:86522e82a8b838e7c119f65c22127245b02ac30be55beef4bf67a2ae5e3a321e

Observation 255f8a23-bdb7-40d1-8d5e-3a143b48464f · outbound

This paper cites & Rubin, D.B.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Rubin, D.B

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.296709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.911680Z digest=sha256:65d0d993b4687604fbb085f1c8946d6063c8c5ddaa7ec99afb6cdf9b81c5ab6f

Observation 2420ae6a-83c2-45a5-99dc-00e9fc5f0c74 · outbound

This paper cites 1927 La diffusion de la lumi\'ere par les atomes.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1927 La diffusion de la lumi\'ere par les atomes

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.289802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.914094Z digest=sha256:990ef00cf3b478a3bcc549de3c6d317cdfff3e5aed1b736940ee7a33325ff865

Observation 98e1997c-4066-43ff-b646-a1fd754ba039 · outbound

This paper cites 1926 On the theory of dispersion of x-rays.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1926 On the theory of dispersion of x-rays

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.282659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.916514Z digest=sha256:ef1cf9f8500433afd0814c520ea0e8de3714a1dc6ee24515ae1740701f545476

Observation 83569959-68cc-45ab-8fa0-5987c674d3c7 · outbound

This paper cites 1975 Wave breakdown and turbulence.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1975 Wave breakdown and turbulence

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.275422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.918855Z digest=sha256:f840159499eb2b5b927e753c8e695ef75165f9ab2191dc85b017e66e47d86165

Observation be17c06e-a8b6-4611-aa77-600b4428f8e6 · outbound

This paper cites 1973 Causation.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1973 Causation

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.268223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.921243Z digest=sha256:6302341e23fbb3bfdef7bc4c931b0d879d6c221ce79d9abdd7935ab543ebeff3

Observation 2778b64c-6d16-4be0-826a-e4c7d42da863 · outbound

This paper cites , Atzori, M.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Atzori, M

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.261542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.923584Z digest=sha256:68a9e87d962c71331fd84c88c1a375f9fd1cdfdac40b30c40beee50c4abacca2

Observation 08c48ca5-2f75-4b87-9230-4b7790a34ef9 · outbound

This paper cites & Arranz, G.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Arranz, G

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.254619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.926910Z digest=sha256:7a101f9a1ad910954bd672280cbacede3f4b8fd68eb67fe2b4ee3fad681fc347

Observation 2e822d78-039c-4e92-9bdb-824c3b923cc0 · outbound

This paper cites , Bae, H.J.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Bae, H.J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.245999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 2762f3bd-b147-496e-8b41-0c4664ab5da1 · outbound

This paper cites , Constantinou, N.C.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Constantinou, N.C

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.237831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.931552Z digest=sha256:9b73b61eae507f8934fcebe10daf459046722a498f2aeb19908ebc1aafffee74

Observation abff2cbe-a099-4238-834c-789fa10b456d · outbound

This paper cites , Darden, L.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Darden, L

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.230837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.933853Z digest=sha256:4f15f24bbb270a58e065e2f54fcb67ab33af5ebf12b31a2ebd97657eb9c45fb1

Observation a0c8fd52-4beb-4a4f-bf48-b09e6cee26f4 · outbound

This paper cites , Arranz, G.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Arranz, G

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.222032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.936453Z digest=sha256:a34fe902519a32f6e38153a361d37d5aefc837773164257b3a9b8d5634e67625

Observation 007d55b4-8140-4d28-8b4e-ba4e374a7f1b · outbound

This paper cites , L \'o pez, E.

Operator theoretic causality analysis of fluid flows using linearized dynamics , L \'o pez, E

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.215424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.938870Z digest=sha256:5eb114d42be1cb5cfcf5943e0710967ab55c4d6acde36ff557e1d74584f4ac96

Observation 5d46a878-981d-40e1-ac77-c9d0076adbec · outbound

This paper cites , Rezaeiravesh, S.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Rezaeiravesh, S

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.207511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.941068Z digest=sha256:e995070a0cc4aa3d21ce344dc3957e54d177e4024553f21c7043d01f806a75a9

Observation ff0ab399-5b0e-40bb-ad7a-89ba32067cb1 · outbound

This paper cites 1990 Causality, feedback and directed information.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1990 Causality, feedback and directed information

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.200491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.943565Z digest=sha256:fd23367456122960f7988d182c44587639c8c97e094c1f361e040df766ad2a94

Observation 138fe803-07c8-40b1-9aa0-1ab3d96f7a68 · outbound

This paper cites & Sharma, A.S.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Sharma, A.S

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.192903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.946020Z digest=sha256:88d76406e010d7f5a02e2f4c046ef15d653f5994c53f5ab61d1c1ba6a40f65aa

Observation 46048c8b-6779-4d71-8785-2856ee057807 · outbound

This paper cites 1981 Principal component analysis in linear systems: Controllability, observability, and model reduction.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1981 Principal component analysis in linear systems: Controllability, observability, and model reduction

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.186242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.948669Z digest=sha256:ea42ab067942ccadf32b2ff4223ebdbdba3cd2b7a3678241dfb3b5a50f3b715b

Observation e55b420b-6084-4b18-8c39-ee1d3177449e · outbound

This paper cites Cambridge University Press.

Operator theoretic causality analysis of fluid flows using linearized dynamics Cambridge University Press

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.179269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.951359Z digest=sha256:83ed387e58827c0c71d3d0567856ff0ae69f9c2b5b80b88495cebeaa28751509

Observation 181fd5b1-58ea-4c0a-ba1c-cbeeba009350 · outbound

This paper cites 2014 Probabilistic reasoning in intelligent systems: networks of plausible inference\/.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2014 Probabilistic reasoning in intelligent systems: networks of plausible inference\/

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.171750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.953948Z digest=sha256:22e65c85e9c06ee0173816bdf97d33d19c05142c724c6208606b3379292c5278

Observation 94635bf2-f779-4df4-9443-28303357e6c5 · outbound

This paper cites 2005 Model reduction for fluids using balanced proper orthogonal decomposition.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2005 Model reduction for fluids using balanced proper orthogonal decomposition

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.163892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.956244Z digest=sha256:7d118ce2245452f8592d1ef51971d9f616e824b8fdae5e0cac3134f2f2ecf97c

Observation 0a1addb5-7758-4b04-aec3-3cb632d42392 · outbound

This paper cites & Dawson, S.T.M.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Dawson, S.T.M

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.157167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.958610Z digest=sha256:27363d5749243362d6b3286954b483b4cd7ab9c1f0df4f187713ffdc6909c781

Observation 97a9f6f4-356c-46f2-a38f-1157331d6878 · outbound

This paper cites 1974 Estimating causal effects of treatments in randomized and nonrandomized studies.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1974 Estimating causal effects of treatments in randomized and nonrandomized studies

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.150687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.960874Z digest=sha256:044c0d4ecceedf5c6c935beb3a74a165d17c0bfb4a6cbc49e0d6935eb45d67d1

Observation a376779a-0290-4472-87a1-1553133f4097 · outbound

This paper cites 2016 Information flow and causality as rigorous notions ab initio.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2016 Information flow and causality as rigorous notions ab initio

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.143484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.963258Z digest=sha256:0a17eac9044e348a0cc3e1431911d3edbafe4136f1ae227d7a87bb6f4176ec98

Observation 159c1f24-31fb-4bd5-bb70-5ba5bc475bb2 · outbound

This paper cites 2005 Information transfer between dynamical system components.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2005 Information transfer between dynamical system components

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.136758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.965716Z digest=sha256:058d325ad180d3ff3822d1efb3253345793587c16e260f33cb63aaa461e5701d

Observation 47802709-5eeb-40a9-90bc-d8365a2aceb7 · outbound

This paper cites & Lozano-Dur \'a n, A.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Lozano-Dur \'a n, A

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.128516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.968033Z digest=sha256:988ac3259e00bab6c4f425bd6b78107d57760c963a69f9bdc687e2fd81d04957

Observation 8ca94f2b-95c7-4bdb-a4d7-5915d577c65b · outbound

This paper cites 2010 Dynamic mode decomposition of numerical and experimental data.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2010 Dynamic mode decomposition of numerical and experimental data

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.121176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.970534Z digest=sha256:0a0b0ca88e8dc6e7066bcd0a2f8827287eeb35d96bdf8290c70acc357b3e3182

Observation ef604bcb-f057-4990-84a1-ae931fb13c89 · outbound

This paper cites & Hussain, F.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Hussain, F

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.113969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.972797Z digest=sha256:c1a002be57e701502eec960307ce6c675ccf6cc5b11119600a5e0f3aac805fbb

Observation 39cf3cb1-5e8c-44d8-8699-5a492604719f · outbound

This paper cites 2000 Measuring information transfer.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2000 Measuring information transfer

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.105608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.975175Z digest=sha256:b874b8b517bf98e24a74751c310ab270536f6278b44d0e346b898c509730d80c

Observation 1f2d35e4-6989-4ecb-a454-850ca1c882d6 · outbound

This paper cites 2020 Causality and passivity: From electromagnetism and network theory to metamaterials.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2020 Causality and passivity: From electromagnetism and network theory to metamaterials

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.097452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.977608Z digest=sha256:f6cdad73f7d468ab6d3c08366924137ba451eca23806424fd2e6e3bfb753b6a9

Observation 2a350154-e826-416a-889a-5eacd3902e8e · outbound

This paper cites , May, R.

Operator theoretic causality analysis of fluid flows using linearized dynamics , May, R

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.090588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.979929Z digest=sha256:85b8930722a2445b47be0ddbd3973cf7e2d3905a70d437fb37855abc9b4cb3c6

Observation 8750cfd2-dcfe-4074-8fc2-68aae27a0ae5 · outbound

This paper cites 1973 A probabilistic theory of causality.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1973 A probabilistic theory of causality

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.083485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.982724Z digest=sha256:99613d4f389d07b8c8cbdd2dc23061b2f738f24dccac0e022db6b37dee18c8b9

Observation bb3a0100-a654-494e-a983-75500ebf5854 · outbound

This paper cites Modal Analysis of Fluid Flows: An Overview.

Operator theoretic causality analysis of fluid flows using linearized dynamics Modal Analysis of Fluid Flows: An Overview

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:26:47.026487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.985257Z digest=sha256:ee8bd7984e7aa0d3d340402fe7ecda7903d5b5233047bd0bac15dc7677687eef

Observation 3feca344-66e6-4f67-8621-9a58417582e2 · outbound

This paper cites 1941 On the calculus of relations.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1941 On the calculus of relations

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.076388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.988101Z digest=sha256:2f8d36bd4cc2084fc0b1207924edf55fb89b6911ce8968c28cc562bf95bcb7b0

Observation ead52454-0e0c-4e15-ae11-9a5a6ed8910b · outbound

This paper cites , Lozano-Dur \'a n, A.

Operator theoretic causality analysis of fluid flows using linearized dynamics , Lozano-Dur \'a n, A

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.068606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.990494Z digest=sha256:f6cb5018d72cad636fb8d1261b33b7830377697015f1be47fd61a45bc52e41ab

Observation 378b947d-970d-4f9c-8e9c-e7300cfcb8e2 · outbound

This paper cites Journal of Computational Dynamics 1 (2), 391--421.

Operator theoretic causality analysis of fluid flows using linearized dynamics Journal of Computational Dynamics 1 (2), 391--421

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.060273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.992692Z digest=sha256:e477ff586be220099f9662f23f5c1cc413867611d8749db59d8e9f1a100a7373

Observation 4e28e37b-be74-4c4d-a6ff-3cc8600caa27 · outbound

This paper cites 1962 A theorem on B oolean matrices.

Operator theoretic causality analysis of fluid flows using linearized dynamics 1962 A theorem on B oolean matrices

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.052358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.995172Z digest=sha256:0d990a945d21f261d451e5b50323f576029f37b28827c90a3fdfdbcfafb77e9f

Observation 20f1198e-71bb-422c-b577-c845ad286c99 · outbound

This paper cites 2001 Introduction to graph theory.

Operator theoretic causality analysis of fluid flows using linearized dynamics 2001 Introduction to graph theory

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.043620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.998270Z digest=sha256:a16e4e492c6f28099e355674a4ba642813703bd43a1522be49a0f3b85e499c58

Observation d23da3c5-ddd5-4531-95da-a876cae376a7 · outbound

This paper cites & Peraire, J.

Operator theoretic causality analysis of fluid flows using linearized dynamics & Peraire, J

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:47.035550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-07T05:26:47.000644Z digest=sha256:2aabef69128253f00f6c691bdfcd3f88c539eae055703ca2870379804cd8c251

Pith citing papers

No inbound Pith citation observations are available.