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Paper Citation Record · LEDGER

Operator theoretic causality analysis of fluid flows using linearized dynamics

As of 8 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 2026-08-08T06:32:00.761636+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
  • parse uncertain0
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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
unresolved
no resolver link, observed 2026-08-07T05:26:46.858515Z

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 2026-08-08T06:32:00.761636+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

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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
raw_fallback, observed 2026-08-07T05:26:47.400845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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
raw_fallback, observed 2026-08-07T05:26:47.394128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.876417Z digest=sha256:7a8aa9fbadc27648f4b54aa16cb42f8c37479122a26af4912d6234cb96cc8c29

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
raw_fallback, observed 2026-08-07T05:26:47.387204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.879184Z digest=sha256:f68b00642f9927748e8a06ea2cf7c7b23fde6d045c6d4a99b1b85971e7a96668

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.884151Z digest=sha256:ba66242629d7d947a6aaf8e205c30e27482cd4644c668836683a4e91bd94cbf5

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
raw_fallback, observed 2026-08-07T05:26:47.366936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.886801Z digest=sha256:ea89df4befb9072f26134b58e27742b7637515e98c43de4dd8ce16179a3818f1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.889237Z digest=sha256:bba402f7effdc16c6d6307bc7339894da9947c6a8a1ffc93ce807f52059bc004

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
raw_fallback, observed 2026-08-07T05:26:47.353368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.891724Z digest=sha256:36fa01288a1630bfb500a4c8000aefb5ee6315014e1a90ad2bcda20e7187a511

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.894153Z digest=sha256:3254391910f7b399dca2cdfe71336641a1da765814df31155bcff5de0e5608f2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.896516Z digest=sha256:52b5684d64fede382a1be988447571bfef53d43217057eea04306a71f216ab85

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.899562Z digest=sha256:2893c3caf5d7f4dc6572c073d92e6fcfc43d0062c430116ce51443e9180b0866

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
raw_fallback, observed 2026-08-07T05:26:47.325692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.902089Z digest=sha256:a157e69580d2bed9db5c8828d047ec4e38987303c4911f35f5fcbd7e4975ef67

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.904469Z digest=sha256:3efb2eb14f1c32a87dd2247f7c53d46148b7c04c5420d79d98c7fe5814bc43b9

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.906937Z digest=sha256:3e7e9260765101eedad0667774adca266a484db201e59314ad47fc6521e4264c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.909256Z digest=sha256:44cfb05a1c2754f7e4b7e4e7f4c0e18a3d0b357ab1f895d5d49f5e9013cc837e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.911680Z digest=sha256:cce78cac127fc454c889c2b4708503f628a261d8f6e0da15d2e65277c8d819dd

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.914094Z digest=sha256:f2ee78ed7536189dfc29abb4c4652e54ce2fc79f32cc104f66bbafcc1ab61825

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.916514Z digest=sha256:d9092d87e5c2334fe1d315afadd0fcedb327e8fcf2925ae029a1a82cccb89df8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.918855Z digest=sha256:b3b6607ecd87ca308a8d045a3dc1738290c481d995d41ce06af8e4f318ebd556

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.921243Z digest=sha256:1e18c6fe5e17ac43c1e8dc30b84acfb0897c1836b8951b59e7e3bad48c2ba337

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.923584Z digest=sha256:6ee20b4de1f1521b7c8f404112f645d9b1c8ae08d233eed4f2b5ef55c7f54daf

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.926910Z digest=sha256:9624fc817f4b098c7a4cf86b7d2baba0df0f1a507aa873782b35e324e545e8d7

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.929312Z digest=sha256:0acfd8e0c172a45f714267e53b8a5c3428d6f3d7e6e62387a79ef073273afa47

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.931552Z digest=sha256:b80f92c041879226a830d36a7d8c9fe962bef8f57c9dae534f01de98edade789

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.933853Z digest=sha256:0ac4b87b7a1e80a0070013a2387fd1e4dcb01cc3dff47281e5d0943f604fd4cb

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.936453Z digest=sha256:af439fe3abeb7352cd9ec633eb107729765fead38561b2dba70b0401f52c54fa

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.938870Z digest=sha256:19d7227d47ca3e09f8fd3687c5508f7ad1bc46ddc09e1283339481e9b071f296

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.941068Z digest=sha256:9518bdce205c4128ddeb3fbb23e8681c4b473fb2d94359a687eb1b72f339a700

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.943565Z digest=sha256:ef9d81d8e6ab5a47487c2c125bb38189c3e46629a2868e874a510baa5a0ae5a1

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.946020Z digest=sha256:7c90d350872c02543e353f66c7dbbff0463fd49687f6fdc78fd790d703c2e24b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.948669Z digest=sha256:9f4f795d7c26fec51d2622cdcff20741b5e8dbb50700cbe2b52bddf56cc6286f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.951359Z digest=sha256:326dcc4feb217b24a051d6df3f69e6b32f0dbeb62e71b7081589f2fd87bcb65c

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.953948Z digest=sha256:4e647068a2ebbb66955ef45517d203e44336781654b36655081a3fb58827f6ed

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.956244Z digest=sha256:0ebbe973d24da40e57b63e09dceb115d75d73bdbce4227a5c41f4cf8273cf89f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.958610Z digest=sha256:5d5cc9317dabd2946ff75a251f9dcbb9352361b7868f4b74410edaa8eee52beb

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.960874Z digest=sha256:3580354b92ede42f93bd92cc61cb4a3fc2136abb45103314dd32c6e9f29d03f7

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.963258Z digest=sha256:f3457cb289187d9e847063d972e237f2e04963b625e236882af404c902b180bf

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.965716Z digest=sha256:58fea22335bc6a5ae311a99275a37c2d3180a4e1cde1e27c6c256d6b4cc1b80d

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.968033Z digest=sha256:60cc62931876d14d3710038b03324d8fcdb309628b7c90ae5d528baef145e7df

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.970534Z digest=sha256:f00570ecb7070400e0dad0766f223585556549fd422007411fe0fc1682a76430

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.972797Z digest=sha256:01f40b736765999c927d7bc9101ab53981b9a2e49a7619b6ef02c030702b2f8f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.975175Z digest=sha256:c9c86b7ed0b771d6e6d09072dd46a473947bf29a4c3f9e331d2bf81a42ff544b

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.977608Z digest=sha256:b55a745f02897824929f37c152708a4956976ed6697588e1a539e60160bebcc2

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.979929Z digest=sha256:99b14977f8acd0a23a2932b4db8343a620f663a5542d74c158dbb8ac5a33fb61

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.982724Z digest=sha256:0927e84aa7ff789d4a929ceaec75ee7809a75bae914142275b1ab790b0aa2aa4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.985257Z digest=sha256:a67047d517dae43a1cb6767cbd30c8d9a185057cea6d8417a2a36c91ae4052fb

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.988101Z digest=sha256:3a6ecb83e7ec26d8cf54530b06ca1cb8959b0093733ce8f6741cc63d8862476e

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.990494Z digest=sha256:5d910130246c8a0718ccc0b579da65b5e0b6c5a299d6552be907441c59fab12f

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.992692Z digest=sha256:47f36dddf8818b5617598657431b149789c8190450a49d97ff3976c33c66e350

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.995172Z digest=sha256:acc283caaa4946b0e345c73e783a195bb150adb89c2be5ba7a540bd556250443

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:46.998270Z digest=sha256:4ff1f4ac02638cf32795f955e2c23b0973359eebcc4cdc8d5c21baedc63fc3c6

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T05:26:47.000644Z digest=sha256:4c14dde801828ae738663ce5538881b2be43131e49ce8fcd20f016cbdfe843c3

Pith citing papers

No inbound Pith citation observations are available.