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Paper Citation Record · LEDGER

Koopman operator theory: fundamentals, control, and applications

As of 15 August 2026, this Paper Citation Record lists 100 of 202 outbound references and 1 inbound Pith citation observation for arXiv:2607.01819.

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

pith.paper-citation-record.v1
2607.01819 v1

Coverage vector

measured 100 of 202 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T08:05:16.851267Z

measured 101 of 101 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T04:49:03.001111Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

100 of 202 outbound references displayed

  • verified exact7
  • verified fuzzy88
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5080f7ea-9127-4b50-944e-34887d6c3e4b · outbound

This paper cites Isidori,Nonlinear Control Systems: An Introduction.

Koopman operator theory: fundamentals, control, and applications Isidori,Nonlinear Control Systems: An Introduction

Reference 1

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation d8232662-e521-4368-b7b7-a16038996949 · outbound

This paper cites Krstic, P.

Koopman operator theory: fundamentals, control, and applications Krstic, P

Reference 2

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source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:627478e95e9da59b5841f6b4829600a8cc8340521e43d6849875c71b6a42b666

Observation 2c46c508-5b0d-42c0-a373-d6dd9f6a83d2 · outbound

This paper cites an unresolved cited work.

Koopman operator theory: fundamentals, control, and applications Unresolved cited work

Reference 3

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Observation 14892f41-4ebe-48b3-9b1d-c3ba76ba4444 · outbound

This paper cites Blanchini and S.

Koopman operator theory: fundamentals, control, and applications Blanchini and S

Reference 4

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source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ecddb5736a90583700158d9bd2d87fc2782f89f27bc9fd3938eb21e9808d6e28

Observation 0c9e8ce4-a8f7-4600-b611-06fa2113b695 · outbound

This paper cites A Koopman Operator-based Prediction Algorithm and its Application to COVID- 19 Pandemic and Influenza Cases,.

Koopman operator theory: fundamentals, control, and applications A Koopman Operator-based Prediction Algorithm and its Application to COVID- 19 Pandemic and Influenza Cases,

Reference 5

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source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ab528f3487b5b2423c82a032e24d93bee3d19d17f5ff519a5395c305d8afe63c

Observation 31a440e2-7093-4131-a1b9-4d24c4ef7432 · outbound

This paper cites A Tour of Reinforcement Learning: The View from Continuous Control,.

Koopman operator theory: fundamentals, control, and applications A Tour of Reinforcement Learning: The View from Continuous Control,

Reference 6

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source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:2233474618b7d24475f33f38ccf2704b6d3e729e20ce7b9eb6f491ffbdee420a

Observation 22f1e8a8-ba40-46ca-ac94-d9ab99fe180f · outbound

This paper cites Analysis of Gain Scheduled Control for Nonlinear Plants,.

Koopman operator theory: fundamentals, control, and applications Analysis of Gain Scheduled Control for Nonlinear Plants,

Reference 7

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:fd5ecf400b552191054074a85fdb3e6847e89a6623f904d5a387958567d3b156

Observation 3523179a-82e2-4888-91aa-b2bdee2f4b94 · outbound

This paper cites Comparison of Systems with Complex Behavior,.

Koopman operator theory: fundamentals, control, and applications Comparison of Systems with Complex Behavior,

Reference 8

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:4ee763528ce526726c671ef20d2867062c98086b2c8e705ff26b1730ffda1537

Observation 8bcbf0cb-82b2-48d9-8036-39fa5cb45f93 · outbound

This paper cites Spectral Properties of Dynamical Systems, Model Reduc- tion and Decompositions,.

Koopman operator theory: fundamentals, control, and applications Spectral Properties of Dynamical Systems, Model Reduc- tion and Decompositions,

Reference 9

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:747b0f4724917607cdf2e2aa85238baef666456580e6efbd2050d395a43cc21b

Observation d43f0748-fd17-487a-b076-14094db1fcc2 · outbound

This paper cites Spectral Analysis of Nonlinear Flows,.

Koopman operator theory: fundamentals, control, and applications Spectral Analysis of Nonlinear Flows,

Reference 10

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source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c2b1576d6e27d7cc8e1b96942bb7bb531e3249587c7b98a1978ae18625769982

Observation 984837d0-422d-4c4a-93cd-da6ed141c5fc · outbound

This paper cites An Overview of Koopman-based Control: From Error Bounds to Closed-Loop Guarantees,.

Koopman operator theory: fundamentals, control, and applications An Overview of Koopman-based Control: From Error Bounds to Closed-Loop Guarantees,

Reference 11

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source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d3cda8ff33f0bfb4aff01700bc1767b557162d1dae20daaf9daf8bad32e33d2e

Observation aa7ae7b5-fb19-4146-baf5-c757479fdd5f · outbound

This paper cites Global Stability Analysis using the Eigenfunctions of the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Global Stability Analysis using the Eigenfunctions of the Koopman Operator,

Reference 12

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:4eade37eb2fd81b9ffb44a2edd593236178c71fd031f30526b87d9b1bca084a2

Observation 0ecb8dfc-5d17-4134-b7f6-6cb15c4fd616 · outbound

This paper cites Koopman Kernel Regression,.

Koopman operator theory: fundamentals, control, and applications Koopman Kernel Regression,

Reference 13

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:2cff209fe5b8a0529c8bdb888a96920e27e00631a2fab106bba8352e18ab78f4

Observation 2f5dc3be-2b78-42f2-b380-97cd2175afe7 · outbound

This paper cites Koopman Operator Dynamical Models: Learning, Analysis and Control,.

Koopman operator theory: fundamentals, control, and applications Koopman Operator Dynamical Models: Learning, Analysis and Control,

Reference 14

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:f61a6e1c6fa76acdbdc9c188cdd69a09e769d51b58a8949b4cd40bfffd3ed10b

Observation 3e66008f-5a06-42c5-b237-db435289c32d · outbound

This paper cites Modern Koopman Theory for Dynamical Systems,.

Koopman operator theory: fundamentals, control, and applications Modern Koopman Theory for Dynamical Systems,

Reference 15

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:f189d7fc4ff02bfcb169d18ffefcd61ca60fcb039a63ef93059ba903b8b7a3d1

Observation b8a98fc8-da4b-4a23-a9e4-f57f1ddb28b9 · outbound

This paper cites Mauroy, Y.

Koopman operator theory: fundamentals, control, and applications Mauroy, Y

Reference 16

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:95d588e866d22dd6e73162a4e9b80e61c84bbcb240d8667402af9d485ace5ee2

Observation 71564e0d-1477-4fb2-984a-7803fc161a50 · outbound

This paper cites SafEDMD: A Koopman-based Data-Driven Controller Design Framework for Nonlinear Dynamical Systems,.

Koopman operator theory: fundamentals, control, and applications SafEDMD: A Koopman-based Data-Driven Controller Design Framework for Nonlinear Dynamical Systems,

Reference 17

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c17ef35d6182dbf79756100994bd8aee7cb500212033429179de80ec0e237f56

Observation 39d2224b-5e43-4bb9-a7f4-eb41627381a2 · outbound

This paper cites Koopman Operators in Robot Learning,.

Koopman operator theory: fundamentals, control, and applications Koopman Operators in Robot Learning,

Reference 18

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:7bb7ffa68a254bab3375dbc08f4a459c9ff757338e5c64555e29fe674cdc9457

Observation c3338670-6c9e-4eaa-b32c-64640d362e10 · outbound

This paper cites L∞-Error Bounds for Approximations of the Koopman Operator by Kernel Extended Dynamic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications L∞-Error Bounds for Approximations of the Koopman Operator by Kernel Extended Dynamic Mode Decomposition,

Reference 19

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:e72d80e68dc5e02ee68e62c52d66336eb2ad514f19bfd6fabc547518f4ebc82d

Observation dabe755c-c2fc-4468-b0d1-70aa55d45939 · outbound

This paper cites Bernard Osgood Koopman, 1900–1981,.

Koopman operator theory: fundamentals, control, and applications Bernard Osgood Koopman, 1900–1981,

Reference 20

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source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:3d2948cd70519a3328c3f15a848128f1f49c677872ac8fe41a3421928fd42a47

Observation 976d7493-f9d7-49be-be04-1d22e9320ca2 · outbound

This paper cites Hamiltonian Systems and Transformation in Hilbert Space,.

Koopman operator theory: fundamentals, control, and applications Hamiltonian Systems and Transformation in Hilbert Space,

Reference 21

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source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:3a63b4280068512b42e207a5d4a1089d11cf9c7066b0b7e9ec8ae7205e10c8f3

Observation f17176cf-36ef-4a40-80ed-9dcfc8fd6a42 · outbound

This paper cites Dynamical Systems of Contin- uous Spectra,.

Koopman operator theory: fundamentals, control, and applications Dynamical Systems of Contin- uous Spectra,

Reference 22

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c834e4d353e3d3ec7b6d0322fd641c4a3760bc409cfb0351aaec79d2fee96f2c

Observation 55c1f703-4580-4598-aeb9-3044a95097d4 · outbound

This paper cites Comparison of Systems with Complex Behavior: Spectral Methods,.

Koopman operator theory: fundamentals, control, and applications Comparison of Systems with Complex Behavior: Spectral Methods,

Reference 23

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:7c8e42e78310b7118b51db6592fac069bbd1087e9730c90542e5638c085fcd9c

Observation ebe126ed-a7ce-4787-9b48-bea2d6e4dcf4 · outbound

This paper cites Koopman Operator Spectrum for Random Dynamical Systems,.

Koopman operator theory: fundamentals, control, and applications Koopman Operator Spectrum for Random Dynamical Systems,

Reference 24

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:a40fdeaae27f1e94233a22dbb20750841ca8f91f31f7fefe77de58755cc083fc

Observation 904451f0-e599-4591-9174-87120661a541 · outbound

This paper cites On Robust Computation of Koopman Operator and Prediction in Random Dynamical Systems,.

Koopman operator theory: fundamentals, control, and applications On Robust Computation of Koopman Operator and Prediction in Random Dynamical Systems,

Reference 25

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:12e3e42e4aec0ac3dc48c1f3531906cc2fb42af13716d39528f588833e713fec

Observation 572b98b2-a487-473b-acdd-138e4b9dcc6d · outbound

This paper cites Robust Approximation of the Stochastic Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Robust Approximation of the Stochastic Koopman Operator,

Reference 26

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:e948b0c697c3cfe7eed56a27806a1c3d3079a08899b51bd3f45cb5d84564b0e5

Observation 40ed5845-2cf9-4e84-9dd3-3106b7087c44 · outbound

This paper cites Koopman for stochastic dynamics: error bounds for kernel extended dynamic mode decomposition.

Koopman operator theory: fundamentals, control, and applications Koopman for stochastic dynamics: error bounds for kernel extended dynamic mode decomposition

Reference 27

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local_arxiv, observed 2026-07-03T08:07:44.943972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:bdbae3c60564ee02cf42b84bf698db6fe7b4aaf3e115ba10d4f388f225a6e0a8

Observation f32c1a2d-4a5a-4c13-92b5-c09dda8ac67b · outbound

This paper cites Variational Koopman Models: Slow Collective Variables and Molecular Kinetics from Short Off-Equilibrium Simulations,.

Koopman operator theory: fundamentals, control, and applications Variational Koopman Models: Slow Collective Variables and Molecular Kinetics from Short Off-Equilibrium Simulations,

Reference 28

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:b79028e5b505eef26a61db8c705be1626da9f91b1b232c2d3f8714d0f7bb3e4b

Observation 51264b56-a63c-4697-a086-139123ec5127 · outbound

This paper cites Data- Driven Characterization and Acceleration of Metastable Dynamics Using Koopman Operators,.

Koopman operator theory: fundamentals, control, and applications Data- Driven Characterization and Acceleration of Metastable Dynamics Using Koopman Operators,

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:3ba5243d103ad9e8c2234df5ff660756d282053509f97f3f5a15c19b68706a71

Observation c3ba9eb4-d184-48c9-9666-247f39ebc6c6 · outbound

This paper cites Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry.,.

Koopman operator theory: fundamentals, control, and applications Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry.,

Reference 30

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:96550169d1b92c85fdfab644810373b9acd88b005c5361240fc388b00b2b575d

Observation 95fb9bed-1341-4bfc-83be-31c8b5d6b32a · outbound

This paper cites Yosida,Functional Analysis.

Koopman operator theory: fundamentals, control, and applications Yosida,Functional Analysis

Reference 31

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:4b6daef7a0e97e75b981b95fa852b83fca053b0b6bda26db24ab7e55a248cc50

Observation a9da9f04-062a-41ad-a642-e16f1346fda1 · outbound

This paper cites Mezi ´c,Koopman Operators: Spectra, Function Spaces, and Rep- resentations, pp.

Koopman operator theory: fundamentals, control, and applications Mezi ´c,Koopman Operators: Spectra, Function Spaces, and Rep- resentations, pp

Reference 32

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raw_fallback, observed 2026-07-05T11:10:56.516899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c0200e3aa651987a3b317d8239ff181a47910c3b6677ada465f217c464e69dfd

Observation 15080626-6dcf-4a51-8651-7324ec2f5cf2 · outbound

This paper cites Koopman Framework for Global Stability Analysis,.

Koopman operator theory: fundamentals, control, and applications Koopman Framework for Global Stability Analysis,

Reference 33

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raw_fallback, observed 2026-07-05T11:10:56.552481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:cae6ca23882f8d9929c646c40da67a9a0be112e85a5f7a710f52c9757e1c0d8a

Observation f103391e-28bf-44cc-b1d1-843e0fa3a014 · outbound

This paper cites A Spectral Operator-Theoretic Framework for Global Stability,.

Koopman operator theory: fundamentals, control, and applications A Spectral Operator-Theoretic Framework for Global Stability,

Reference 34

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raw_fallback, observed 2026-07-05T11:10:56.574728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:70ba3dad8b4d837a083cc125dbdb64dd021d3399ec4ca984dd9934acbe8592b3

Observation 1d5f24c6-394c-44cf-a7ae-fbc10923468f · outbound

This paper cites Modeling Nonlinear Control Systems via Koopman Control Family: Universal Forms and Subspace Invariance Proximity,.

Koopman operator theory: fundamentals, control, and applications Modeling Nonlinear Control Systems via Koopman Control Family: Universal Forms and Subspace Invariance Proximity,

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.484033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ac67e11ab60099f296ec3d294fd32ffcd64a9245c49c96ba6211697c4a2a99fa

Observation bcaefcbf-530b-4b79-9f6b-7d1e78638509 · outbound

This paper cites Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models.

Koopman operator theory: fundamentals, control, and applications Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:44.941065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:0f07b894aa2eba576d1794ffa5961931049914337f65890ac979642a1593d3e0

Observation 5d2df252-2ce2-4b49-b042-f2da331d4ac2 · outbound

This paper cites Essai sur la g ´eom´etrie `andimensions,.

Koopman operator theory: fundamentals, control, and applications Essai sur la g ´eom´etrie `andimensions,

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.470287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:00d3a6ca4bf902601e9bd75ffa915c9276ff4620eb48b84697e199b8a533fcbd

Observation 01a0980d-5e24-455b-b4d4-e3c128dc1c79 · outbound

This paper cites Relations between Two Sets of Variates,.

Koopman operator theory: fundamentals, control, and applications Relations between Two Sets of Variates,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.503744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:05196a460cd6e02a92d6f62955497993a37dfe8f9b49fec85cf951b1ea68f613

Observation 0fd203fa-a6a5-4ab0-8b31-3dbd906f190a · outbound

This paper cites Repro- jection Methods for Koopman-based Modelling and Prediction,.

Koopman operator theory: fundamentals, control, and applications Repro- jection Methods for Koopman-based Modelling and Prediction,

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.505508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:92e3ac045112c62d85c6a7505a03f8e77c05f9a36b0aae9e70ae971fae8fe350

Observation ca727ecf-9f08-47bf-96f6-24447268bc13 · outbound

This paper cites an unresolved cited work.

Koopman operator theory: fundamentals, control, and applications Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-07-05T11:10:56.491256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d7835b50550402d742124b6972ab3d9f6838a2a4d8ede62778413dd313200e9d

Observation 0ea209f0-a274-4e47-b621-54a90ad7241e · outbound

This paper cites Koopman-based Lifting Techniques for Nonlinear Systems Identification,.

Koopman operator theory: fundamentals, control, and applications Koopman-based Lifting Techniques for Nonlinear Systems Identification,

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.507226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ed7feaeaf18834189446783675a3cef5d721c8faf3b56e4f6fcecc41fe1dbc87

Observation 96e90f02-9973-47fe-b940-94b7f9e3e577 · outbound

This paper cites Maximum-likelihood reprojections for reliable Koopman-based predictions and bifurcation analysis of parametric dynamical systems.

Koopman operator theory: fundamentals, control, and applications Maximum-likelihood reprojections for reliable Koopman-based predictions and bifurcation analysis of parametric dynamical systems

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:44.932792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:fad7b372c4304832d5bd301ac0b9f07087e7fc4a0298a61f11ffeb6e1331398f

Observation 9e92cc54-9026-41dc-bd39-4013a5fe1e01 · outbound

This paper cites The Multiverse of Dynamic Mode Decomposition Algorithms,.

Koopman operator theory: fundamentals, control, and applications The Multiverse of Dynamic Mode Decomposition Algorithms,

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.509089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:877714ac41f456cc97b335fb074e7612a70ce345f3603fdcf99d3657250ea7d7

Observation 764709ba-a606-4399-b09b-3dd9b20086cb · outbound

This paper cites On Dynamic Mode Decomposition: Theory and Applications,.

Koopman operator theory: fundamentals, control, and applications On Dynamic Mode Decomposition: Theory and Applications,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.485876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:e8c7fee85d6c5f8170f8ddd19780ae0a69b79e69590353a19b5ed3f8742f9afa

Observation 85088503-4daf-45e4-99c3-9448b552e968 · outbound

This paper cites Model Reduction for Flow Analysis and Control,.

Koopman operator theory: fundamentals, control, and applications Model Reduction for Flow Analysis and Control,

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.519029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:53c020a8b80a2d98af4243b5b6e26cd0f445582806eccc748e95c34dac4b03df

Observation 58c58dcd-e9e2-414a-96f2-d791342477c7 · outbound

This paper cites Generalizing Dynamic Mode Decomposi- tion: Balancing Accuracy and Expressiveness in Koopman Approxi- mations,.

Koopman operator theory: fundamentals, control, and applications Generalizing Dynamic Mode Decomposi- tion: Balancing Accuracy and Expressiveness in Koopman Approxi- mations,

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.389264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:7d0c9720a6c332ace801240c0b5efa9151f1d8d3500fb2a9abfcecc413367401

Observation 3a98c8d7-b00b-481a-becf-f28bb0e36eb6 · outbound

This paper cites Recursive Forward-Backward EDMD: Guaranteed Algebraic Search for Koopman Invariant Subspaces,.

Koopman operator theory: fundamentals, control, and applications Recursive Forward-Backward EDMD: Guaranteed Algebraic Search for Koopman Invariant Subspaces,

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.489322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:544a0384e648d19a2de86f14a8bc676659b2a14d5469f58c5678fb7c71e22968

Observation 7e996372-4bfd-4c78-a2c8-6ce9a67a07bb · outbound

This paper cites Scalable Extended Dynamic Mode Decomposition Using Random Kernel Approximation,.

Koopman operator theory: fundamentals, control, and applications Scalable Extended Dynamic Mode Decomposition Using Random Kernel Approximation,

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.395184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:7d7a5fa02a4f7efa4a26c344c182f7501dd3eaf3eacaf308879e6f9008e33c83

Observation 4d5fac55-c0df-42a1-bf77-1db878639b54 · outbound

This paper cites Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos,.

Koopman operator theory: fundamentals, control, and applications Orthogonal Polynomial Approximation and Extended Dynamic Mode Decomposition in Chaos,

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.386224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:74e0ff402dcfb4f0dbbcce6d7902c011624215262691721455240f2d02a9a6af

Observation d1bb577d-7ca6-45bc-a1cf-568f39beb3cd · outbound

This paper cites A Data– Driven Approximation of the Koopman Operator: Extending Dy- namic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications A Data– Driven Approximation of the Koopman Operator: Extending Dy- namic Mode Decomposition,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.589896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d35ac0f392ba7f16ab69ef7d479c306d59185e18a89d71a0f8f60cad36220937

Observation b2324bb0-b001-40b4-bf0b-589faed30abf · outbound

This paper cites Extended Dynamic Mode Decomposition with Dictionary Learning: A Data- Driven Adaptive Spectral Decomposition of the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Extended Dynamic Mode Decomposition with Dictionary Learning: A Data- Driven Adaptive Spectral Decomposition of the Koopman Operator,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.528873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:f75416cb9f2f3b1e6bccb188a9de1d95c7b94aac7f5276ca3ec1c42c2efdfb72

Observation c7ca8184-e5a5-4055-90e4-a92e49c955b5 · outbound

This paper cites Deep Learning for Universal Linear Embeddings of Nonlinear Dynamics,.

Koopman operator theory: fundamentals, control, and applications Deep Learning for Universal Linear Embeddings of Nonlinear Dynamics,

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.520854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:7029719d304415b09043cfb26781d7e3e4676f5c06a48c95808f723b3651193a

Observation 5d89079a-0907-4b41-b6b9-1bfd4aecf671 · outbound

This paper cites Random Features for Large-Scale Kernel Machines,.

Koopman operator theory: fundamentals, control, and applications Random Features for Large-Scale Kernel Machines,

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.471853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:769e5314efaea291524302c022395caba09cbc008e8aed40aebd812ec678e845

Observation fa41edb9-e923-418f-bfd3-0729ce6aea04 · outbound

This paper cites Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems,.

Koopman operator theory: fundamentals, control, and applications Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems,

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.526853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:da0738029da0f5a164ed8831024de3d0b4318c6b4ba27915f64520ca23bd9d6e

Observation e4286803-ae44-4d4b-83c7-28ccd6255cd6 · outbound

This paper cites Temporal Forward–Backward Consistency, Not Residual Error, Measures the Prediction Accuracy of Extended Dynamic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications Temporal Forward–Backward Consistency, Not Residual Error, Measures the Prediction Accuracy of Extended Dynamic Mode Decomposition,

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.540122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8d9c5d646a67445b2f9d148ffeff371cc9ab96cfe382ab50171cc6826f0e6043

Observation 304423b1-c3fd-4da5-8f2f-3f551c5719a7 · outbound

This paper cites Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control,.

Koopman operator theory: fundamentals, control, and applications Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control,

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.545677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:98803317c8918f5ab18bba57b0880c45be0d07277f071b0558a45d2752a91ff7

Observation ac4ad133-0b46-49c1-96c3-ae3d0e084b0a · outbound

This paper cites Linear Identification of Nonlinear Systems: A Lifting Technique based on the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Linear Identification of Nonlinear Systems: A Lifting Technique based on the Koopman Operator,

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.487725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d0ca5349fcca8c8514f0e6829a790c3cef67c931f406454df12d9ca79b738620

Observation 7503e20b-fb55-4b75-9a1e-f5114453c3a0 · outbound

This paper cites an unresolved cited work.

Koopman operator theory: fundamentals, control, and applications Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-07-05T11:10:56.480045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:656e8633f7713d25c734e14b63f9d8ca72ff43bde02f6e03ac4d353958f6cbae

Observation 1b97e69d-bf18-422a-aa2a-2dc355f6ce1a · outbound

This paper cites On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator,

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.493108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:24ec0586b8c1942fc7902ebc322cf06779e8825d26888adefc0eccb00c2320a3

Observation e0ed1b58-8c14-486f-8859-375a24fee171 · outbound

This paper cites Applied Koopman Theory for Partial Differential Equations and Data-Driven Mod- eling of Spatio-Temporal Systems,.

Koopman operator theory: fundamentals, control, and applications Applied Koopman Theory for Partial Differential Equations and Data-Driven Mod- eling of Spatio-Temporal Systems,

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.461708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:6c5cf8144ad67cbecf4b5e70a3846db1aec90937550531c2aa0f27384cafb118

Observation 97e755f3-f5d8-422e-95c5-6926b4f9a4b3 · outbound

This paper cites Ergodic Theory, Dynamic Mode Decom- position, and Computation of Spectral Properties of the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications Ergodic Theory, Dynamic Mode Decom- position, and Computation of Spectral Properties of the Koopman Operator,

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.495318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:59ef0af9321243e8eed22dd33dfbd0511f3c51b995a37e46f55d89b7f1eba483

Observation e02b4332-f24a-4c3d-807f-2edc1076dfda · outbound

This paper cites Time-Delay Observables for Koopman: Theory and Applications,.

Koopman operator theory: fundamentals, control, and applications Time-Delay Observables for Koopman: Theory and Applications,

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.457468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:3000b45fc6bdf9856af176de0ba0d2b3aa672ca0d8ffcfd4291e6c88da2404e9

Observation 6ea72612-455f-4730-bdb7-a6ca36223add · outbound

This paper cites The Takens Embedding Theorem,.

Koopman operator theory: fundamentals, control, and applications The Takens Embedding Theorem,

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.455540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:9a908e77dbcc49458d914c6dcde195d8be5face43f9633083aa245816e023a18

Observation 1268ac2b-92b0-4ed8-b4c3-c871b94ae197 · outbound

This paper cites Isostables, Isochrons, and Koopman Spectrum for the Action–Angle Representation of Stable Fixed Point Dynamics,.

Koopman operator theory: fundamentals, control, and applications Isostables, Isochrons, and Koopman Spectrum for the Action–Angle Representation of Stable Fixed Point Dynamics,

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.459826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:ff445bec44276139836e5918e65f9dfd5c37b27deafd62981dc382f7f0f894b8

Observation c802b96f-bac2-43bd-840d-c652547fc65f · outbound

This paper cites Construction of eigenfunctions for scalar-type operators via Laplace averages with connections to the Koopman operator.

Koopman operator theory: fundamentals, control, and applications Construction of eigenfunctions for scalar-type operators via Laplace averages with connections to the Koopman operator

Reference 65

Resolution
metadata mismatch
local_arxiv, observed 2026-07-03T08:07:44.938321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8f9f3a61ba893396517cab1c310d59ba058bb9634239f431846d154e962f08fd

Observation df0bc70a-b3e1-4fe6-ab59-8fe4280f50b1 · outbound

This paper cites On Numerical Approximations of the Koopman Operator,.

Koopman operator theory: fundamentals, control, and applications On Numerical Approximations of the Koopman Operator,

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.465780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:caf623a47ae8039725ddb10cb6ff5d0611d941d4041aff27a2511c20270976eb

Observation e25be288-4713-4a92-b674-9af04ad48257 · outbound

This paper cites Variants of Dynamic Mode De- composition: Boundary Condition, Koopman, and Fourier Analyses,.

Koopman operator theory: fundamentals, control, and applications Variants of Dynamic Mode De- composition: Boundary Condition, Koopman, and Fourier Analyses,

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.461533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:260392b0b9034fa3efbb155cbfff5986fb5ef2961ea755b7600c47cf5821f311

Observation 50ae70c4-e658-4677-b04b-3d8c4a569f69 · outbound

This paper cites A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems,.

Koopman operator theory: fundamentals, control, and applications A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems,

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.506542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:b623ff459000ad5176f3cba5d3440f20ecfc1f5ee133aea5829e755d4cd61014

Observation 66d2b547-1382-4c6f-88d5-e5822f176a36 · outbound

This paper cites Spectral Pollution and How to Avoid It,.

Koopman operator theory: fundamentals, control, and applications Spectral Pollution and How to Avoid It,

Reference 69

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raw_fallback, observed 2026-07-05T11:10:56.451427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:c24f76b0b9fae89a633dedd0a86b71f27278a98315b7ea7b6151062f458d2d93

Observation 51435e24-eb4a-4d83-b5c4-b8d64172c354 · outbound

This paper cites Spectral Pollution and Second- Order Relative Spectra for Self-Adjoint Operators,.

Koopman operator theory: fundamentals, control, and applications Spectral Pollution and Second- Order Relative Spectra for Self-Adjoint Operators,

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.453407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:df29749f4db4d127b334097ed4fa77f09026be3d90013f041b5c569ca1e160a4

Observation f9fe75fa-8eb7-41c4-8b80-8f3e4fefa0e1 · outbound

This paper cites How to Compute Spectra with Error Control,.

Koopman operator theory: fundamentals, control, and applications How to Compute Spectra with Error Control,

Reference 71

Resolution
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raw_fallback, observed 2026-07-05T11:10:56.445683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:85741bd29af68f426375a06f2afbcb95bed72ecdea9f580231069d5fccd16b46

Observation 0e55c1a9-fce9-45be-9d88-e492f5f47fb0 · outbound

This paper cites Rigorous Data-Driven Computa- tion of Spectral Properties of Koopman Operators for Dynamical Sys- tems,.

Koopman operator theory: fundamentals, control, and applications Rigorous Data-Driven Computa- tion of Spectral Properties of Koopman Operators for Dynamical Sys- tems,

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.478082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d361e823201340abe429d9c9018899358e8cdc7c5eb261f5dbc2b0bd263d0cab

Observation a69a739e-da6d-45f6-805f-82a69cc18a10 · outbound

This paper cites Data Driven Modal Decom- positions: Analysis and Enhancements,.

Koopman operator theory: fundamentals, control, and applications Data Driven Modal Decom- positions: Analysis and Enhancements,

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.511672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:7d51b46efd1ebb1b32bf58b9f1abb47d924beba1891786f802daeeee92c6ab16

Observation 5637574e-e142-481f-917b-194d956879dd · outbound

This paper cites Analytic Extended Dynamic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications Analytic Extended Dynamic Mode Decomposition,

Reference 74

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:44.926598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:8f83787109abb589f28380c2651cc8a389cd3b23f9a452194eab28fc747de48f

Observation b0b26269-d7b9-401e-b557-acfb5f2c8340 · outbound

This paper cites Adversarial Dynam- ical Systems Characterize when Data-Driven Learning Succeeds or Fails,.

Koopman operator theory: fundamentals, control, and applications Adversarial Dynam- ical Systems Characterize when Data-Driven Learning Succeeds or Fails,

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.513507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:097ddb8626cd5ace982c106ea1ad8ab8d9278231fdafa8801f1119701ed1c935

Observation c4b25d89-f1d6-486a-b7c0-275059ad70a8 · outbound

This paper cites an unresolved cited work.

Koopman operator theory: fundamentals, control, and applications Unresolved cited work

Reference 76

Resolution
unresolved
raw_fallback, observed 2026-07-05T11:10:56.443882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:e7f697f1f9417ffcbff278b37bb0837b32fd067305dea25ce6476eb59d437f33

Observation 33c958fc-6dcb-42c4-9870-a5a86d0cf71e · outbound

This paper cites Analysis of Fluid Flows via Spectral Properties of the Koopman Operator.

Koopman operator theory: fundamentals, control, and applications Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.467873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:078e91923229bbeb06ed6bce396c2cd39e811ea9452e78ce86e615de806c2459

Observation e9c88a78-8c9d-44e1-b113-61c327dc654c · outbound

This paper cites A Kernel- Based Method for Data-Driven Koopman Spectral Analysis,.

Koopman operator theory: fundamentals, control, and applications A Kernel- Based Method for Data-Driven Koopman Spectral Analysis,

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.497587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d775a63011bde84b6826af125481714167e97680214df25f90957392a2b84705

Observation 176b2106-c745-4653-8bce-ef7dff9e3ec8 · outbound

This paper cites Sch ¨olkopf and A.

Koopman operator theory: fundamentals, control, and applications Sch ¨olkopf and A

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.545440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:0d7dbd77b93ff60e26b44f81b15faf35a2f999cefef08ee60086e94013e3ac93

Observation 857e05f8-b282-481f-b057-f5be9da2bc08 · outbound

This paper cites Berlinet and C.

Koopman operator theory: fundamentals, control, and applications Berlinet and C

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.547065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:6e967b96b37657f45f323266cfb1ef4dac6d709254c1b2cef7f4f66d9a2c4585

Observation 0900fe2a-859c-4a98-bee6-bc8e9056c372 · outbound

This paper cites A Primer on Reproducing Kernel Hilbert Spaces,.

Koopman operator theory: fundamentals, control, and applications A Primer on Reproducing Kernel Hilbert Spaces,

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.580550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:789eabe9edc5be4ae7adbda6e5bdaa74ddeba521b1b06fc5d76f2c2847415985

Observation cf142f4c-d647-42a0-afe9-797b7814b65c · outbound

This paper cites Kernel-based Approximation of the Koopman Generator and Schr¨odinger Operator,.

Koopman operator theory: fundamentals, control, and applications Kernel-based Approximation of the Koopman Generator and Schr¨odinger Operator,

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.551633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:205ff5b3f385e8c22caf41b693b1fdd5a043085fb8a5910dfca3d8dbb971a6fd

Observation f525f01c-4b51-4862-8c2a-0d7b94abda34 · outbound

This paper cites Spatial Variation: Meddelanden fran Statens Skogs- forskningsinstitut,.

Koopman operator theory: fundamentals, control, and applications Spatial Variation: Meddelanden fran Statens Skogs- forskningsinstitut,

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.525100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:1fdd634ad416c9a1cbfb8f8a971ec29ba1ae9511968d9259faf3d3c8d6623fda

Observation 1ef2b55c-98d0-4ba3-b7da-8d4bed3c1fce · outbound

This paper cites Wendland,Scattered Data Approximation.

Koopman operator theory: fundamentals, control, and applications Wendland,Scattered Data Approximation

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.435779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:a5270022f7a0a5b74f6331541c6dd92952dd89a9f014caef4436ef5a1c2dfc63

Observation a4d2d41b-66fe-4633-8552-63ec67716f77 · outbound

This paper cites Universal Kernels,.

Koopman operator theory: fundamentals, control, and applications Universal Kernels,

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.512661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:56ffa29efa9d9188ac32578c83f07e7f5fb4ee9d59bb8bb664d249704a229910

Observation c16475c0-4ff6-4742-8558-5cab59d2ef0c · outbound

This paper cites Information Rates of Non- parametric Gaussian Process Methods,.

Koopman operator theory: fundamentals, control, and applications Information Rates of Non- parametric Gaussian Process Methods,

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.532868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:e174195fb7834bde7f22eedbb0efd376c0459cb4c21e4db982e3684d2854a3b8

Observation dc688a61-3cae-41a9-abc2-baf47e0955bd · outbound

This paper cites Gaussian Processes and Kernel Methods: A Review on Connections and Equivalences.

Koopman operator theory: fundamentals, control, and applications Gaussian Processes and Kernel Methods: A Review on Connections and Equivalences

Reference 87

Resolution
verified exact
local_arxiv, observed 2026-07-03T08:07:44.929124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:9770214280d49a04660c9efdf95dcaf3ca94d866f16f596f83142b01f8419b0a

Observation 2a2028a8-fbb1-4114-88cc-c0111f9cd09a · outbound

This paper cites The Kernel Perspective on Dynamic Mode Decomposition,.

Koopman operator theory: fundamentals, control, and applications The Kernel Perspective on Dynamic Mode Decomposition,

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.534714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:57e9b975ef522cac21b6b0368d72f6334562a85b38655bbcd97222d3b9ea1cac

Observation f1ca9c1c-0579-403e-8b93-2c05ab3fbd15 · outbound

This paper cites Using the Nystr ¨om Method to Speed up Lernel Machines,.

Koopman operator theory: fundamentals, control, and applications Using the Nystr ¨om Method to Speed up Lernel Machines,

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.584372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:d8a46a653f5ba26c41cb9b38cb37e4721561d4ede3d2e8957dae23ecb61dd0c2

Observation 0bfbdae3-182a-4838-8a76-9d52e87e1888 · outbound

This paper cites Sketching as a Tool for Numerical Linear Algebra,.

Koopman operator theory: fundamentals, control, and applications Sketching as a Tool for Numerical Linear Algebra,

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.536526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:82bffe7ebfa63b5b0c4a129b82680a0a3fdf09dd2a538f99a0a54618abb14321

Observation 080ed0f3-5b55-41f3-9734-965136069022 · outbound

This paper cites Kernel Methods through the Roof: Handling Billions of Points Efficiently,.

Koopman operator theory: fundamentals, control, and applications Kernel Methods through the Roof: Handling Billions of Points Efficiently,

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.421548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:342c766a29b6ee26c6a24c380d14c0988e15d8a020b755422a501b6a05667412

Observation 90d52311-460d-487e-b1f9-173bc65174f3 · outbound

This paper cites A Quantitative Analysis of Koopman Op- erator Methods for System Identification and Predictions,.

Koopman operator theory: fundamentals, control, and applications A Quantitative Analysis of Koopman Op- erator Methods for System Identification and Predictions,

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.423819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:bfa073f56265b6f25564fcd6fa4cac2e570f6b98d35a63abaa5b98ffdd2559b6

Observation a9cadc76-c00e-426c-847c-f160718a8596 · outbound

This paper cites Finite-Data Error Bounds for Koopman-based Prediction and Con- trol,.

Koopman operator theory: fundamentals, control, and applications Finite-Data Error Bounds for Koopman-based Prediction and Con- trol,

Reference 93

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verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.538239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:45ea90b5847d9646c41d42d807891cdcd8fbc9a89a137c67359f1dc69b8e269e

Observation 6aad93e4-8791-46b2-b4f4-6f02b2693aa2 · outbound

This paper cites Variance Representations and Convergence Rates for Data-Driven Approximations of Koopman Operators,.

Koopman operator theory: fundamentals, control, and applications Variance Representations and Convergence Rates for Data-Driven Approximations of Koopman Operators,

Reference 94

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verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.541989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:3eeef2fb39ca8f1c063a73c62ae3093662432dadfb598445fd50c6f097ad1a5d

Observation 3855a25c-335d-4929-b2f0-c098b339d396 · outbound

This paper cites Towards Reliable Data-Based Optimal and Predictive Control using Extended DMD,.

Koopman operator theory: fundamentals, control, and applications Towards Reliable Data-Based Optimal and Predictive Control using Extended DMD,

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.543720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:fdb8f9291893c4c4d97f855098d3da6da8cbc12b1f9e735d6bc05afa9f51875a

Observation c6e76609-8036-4fa1-8718-fe5de10ae653 · outbound

This paper cites Diffeomorphically Learning Stable Koopman Operators,.

Koopman operator theory: fundamentals, control, and applications Diffeomorphically Learning Stable Koopman Operators,

Reference 96

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.524652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:22cfad8cb3af15dd9814e72a3c45da14ff14ad45678580a01429052e0b3376d5

Observation 11d344f8-79bb-4223-a491-477ae31ee093 · outbound

This paper cites Shaping the Koopman Dictionary by Learning on the Grassmannian,.

Koopman operator theory: fundamentals, control, and applications Shaping the Koopman Dictionary by Learning on the Grassmannian,

Reference 97

Resolution
verified exact
arxiv_id, observed 2026-07-03T08:07:44.916307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:19969ddcf76c457fe6290b62062ad0ed90851924545d0eb45653c9cfe131c88f

Observation 59331c41-e64b-4362-9ada-68603287d8e3 · outbound

This paper cites Kernel- based Koopman Approximants for Control: Flexible Sampling, Error Analysis, and Stability,.

Koopman operator theory: fundamentals, control, and applications Kernel- based Koopman Approximants for Control: Flexible Sampling, Error Analysis, and Stability,

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.416691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:a88e1afea60d11d199726b8b2dcfef463cb9665a9a67f8a8ae58959e7a48d5c8

Observation 0466ccf4-8840-4e9a-a599-c75ef93ac196 · outbound

This paper cites Excitation of control-affine systems and Koopman error bounds.

Koopman operator theory: fundamentals, control, and applications Excitation of control-affine systems and Koopman error bounds

Reference 99

Resolution
verified exact
local_arxiv, observed 2026-07-03T08:07:44.935552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:af234f9297aab7f3577dfb9722673e06d94468250a151d72f0888ffa8c958406

Observation a370dfcc-e3e5-4b61-a154-4aaad2f02d5b · outbound

This paper cites Error Bounds for Kernel-based Approximations of the Koop- man Operator,.

Koopman operator theory: fundamentals, control, and applications Error Bounds for Kernel-based Approximations of the Koop- man Operator,

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T11:10:56.425635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-07-03T08:05:16.851267Z digest=sha256:3703e5c0b6c9c6010feedeac61b7c3d78bb085c149a227958ed2c70b6a6b17e1

Pith citing papers

Observation bffe020d-bdc2-4396-832c-57756213625f · inbound

Machines that Predict Trajectories from Templates cites this paper.

Machines that Predict Trajectories from Templates Koopman operator theory: fundamentals, control, and applications

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T04:49:03.001111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T04:49:03.001111Z digest=sha256:0c49f5487a75948ce542a94ea6a0ad88f45efa552eab901ecb172599a91694a0