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Paper Citation Record · LEDGER

Extensions of the Path-integral formula for computation of Koopman eigenfunctions

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2411.16605.

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pith.paper-citation-record.v1
2411.16605 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:03:25.420627Z

measured 25 of 25 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

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External citation measurements

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Outbound references

Observation 5d37c5c3-7e9f-4fc8-92f6-0ad559358269 · outbound

This paper cites Koopman operator-based model reduction for switched-system control of PDEs,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Koopman operator-based model reduction for switched-system control of PDEs,

Reference 1

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raw_fallback, observed 2026-08-12T13:03:27.086295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 8ecdc559-0955-48e0-827d-80a264411b7c · outbound

This paper cites Towards global optimal control via Koopman lifts,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Towards global optimal control via Koopman lifts,

Reference 2

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 08133067-40a3-4226-a308-d5a97ed97fd9 · outbound

This paper cites Control, estimation and optimization of energy efficient buildings,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Control, estimation and optimization of energy efficient buildings,

Reference 3

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 98fb4240-b2eb-45cd-8673-f9bd07d52593 · outbound

This paper cites Active learning of dynamics for data-driven control using Koopman operators,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Active learning of dynamics for data-driven control using Koopman operators,

Reference 4

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raw_fallback, observed 2026-08-12T13:03:26.790041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:24.697761Z digest=sha256:b035ea5412187fb8080672473dffd609dc543e499cf21e9b3fa369967e8ce560

Observation 9c72434d-c9f9-443a-aed7-67c4445cff55 · outbound

This paper cites Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control,

Reference 5

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no resolver link, observed 2026-08-12T13:03:24.703286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:03:24.703286Z digest=sha256:33f67b3b6e8f078fee1765fcaa1411316c31ae792be074ad1423c692640795d7

Observation ed530d94-ca27-4880-9203-8e4010ba7c1a · outbound

This paper cites Optimal control formulation of pulse-based control using Koopman operator,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Optimal control formulation of pulse-based control using Koopman operator,

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 96befd79-66cb-44e7-bb58-8974f21488f5 · outbound

This paper cites Approximative Policy Iteration for Exit Time Feedback Control Problems driven by Stochastic Differential Equations using Tensor Train format.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Approximative Policy Iteration for Exit Time Feedback Control Problems driven by Stochastic Differential Equations using Tensor Train format

Reference 7

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:03:24.776054Z digest=sha256:4a2b7f3be0a092359a73a16be48a27805f6cf2d465792a76fb5421bc55e7dfc4

Observation 4587c198-659a-40cf-8447-0194baf23029 · outbound

This paper cites Data-driven discovery of Koopman eigenfunctions for control,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Data-driven discovery of Koopman eigenfunctions for control,

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:24.855474Z digest=sha256:21209d1df1df98c90fc7facf051bdba38f0a6c2c34766f8f65b66f570c76ff01

Observation 7121f3cc-3d0e-4d9d-acb1-03317bb65b28 · outbound

This paper cites Optimal quadratic regulation of nonlinear system using Koopman operator,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Optimal quadratic regulation of nonlinear system using Koopman operator,

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:24.908085Z digest=sha256:970c1c70ff3201bd952f3640a7f7b2af284df0ad39c4e973f0864d92c6f35f0b

Observation 4661c923-0157-404f-a505-7a8da10d9b87 · outbound

This paper cites A convex approach to data-driven optimal control via Perron-Frobenius and Koopman operators,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions A convex approach to data-driven optimal control via Perron-Frobenius and Koopman operators,

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:24.962050Z digest=sha256:5a897f8a9bd23b6339771f3554f679875a4b09b6eaa9f97ea4f8899fbcc5ae24

Observation 1a0bf6fd-b9ef-4a03-924c-ffee37bff4ce · outbound

This paper cites Koopman-based Neural Lyapunov functions for general attractors,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Koopman-based Neural Lyapunov functions for general attractors,

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:24.977992Z digest=sha256:006de720cd3ef679abc1fc867a3953f152bc4be2b2bb1a30bf41524e62f7052f

Observation 6af70d66-63af-4b2a-a005-4001d24ea996 · outbound

This paper cites Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry,

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:24.984833Z digest=sha256:8c602a28fe43c5db9c8d13772039c747480cd08210f8c1c04832608001cf7e29

Observation 994cb3b3-5481-4154-b234-0f5ed220a975 · outbound

This paper cites Spectral analysis of Koopman operator and nonlinear optimal control,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Spectral analysis of Koopman operator and nonlinear optimal control,

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:24.993250Z digest=sha256:e80afaf7772bea30b7575692b06a9577e99bbab134d9390f77099a068a71c682

Observation 9410e17f-68f2-46c9-aa2f-7d4ca4e535ef · outbound

This paper cites Spectral Koopman method for identifying stability boundary,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Spectral Koopman method for identifying stability boundary,

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.051260Z digest=sha256:ce18e63e912203c2082c60c67ea0e6f41bf30a4f38eb9e6ac54d24ac36bf2919

Observation 792b8882-2c3d-4959-aaa4-c3a982178316 · outbound

This paper cites Reachability analysis using spectrum of Koopman operator,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Reachability analysis using spectrum of Koopman operator,

Reference 15

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 71678111-26ae-4708-aef6-828dd5af5e37 · outbound

This paper cites Path-integral formula for computing Koopman eigenfunctions,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Path-integral formula for computing Koopman eigenfunctions,

Reference 16

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 10aa812f-0b15-429f-9d5a-629988796c6d · outbound

This paper cites Sparse learning of kernel transfer operators,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Sparse learning of kernel transfer operators,

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.178705Z digest=sha256:64bf9baf56133c4b14e02743605305cf7fa2644a21c3344794869e9d8b7f4be3

Observation c7420dae-b35a-4176-b138-394644485e5d · outbound

This paper cites Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Eigendecompositions of transfer operators in reproducing kernel Hilbert spaces,

Reference 18

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.186364Z digest=sha256:48d595d3187506d48969da84c6e5365dae769277046218fed7da6d364da8fb34

Observation 7d4695f4-3805-4018-9f10-1dd6d5912ea2 · outbound

This paper cites On convergence of extended dynamic mode decomposition to the Koopman operator,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions On convergence of extended dynamic mode decomposition to the Koopman operator,

Reference 19

Resolution
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raw_fallback, observed 2026-08-12T13:03:25.878861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.277928Z digest=sha256:9994ade4c2611ed32db8ca8e87eb8ca823db4677453953c3151437fb5c551d03

Observation f5e61dc7-7f70-4458-9fbc-d78395d2b940 · outbound

This paper cites Optimal construction of Koopman eigen- functions for prediction and control,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Optimal construction of Koopman eigen- functions for prediction and control,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:03:25.801897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.302919Z digest=sha256:244cf64b9534a3f28da78ee2986f69766597f567d7cb8f6bb4dfc59b2b8eea0b

Observation 98fe9b8e-09ee-4e43-b757-8f77d69ce69b · outbound

This paper cites A data– driven approximation of the Koopman operator: Extending dynamic mode decomposition,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions A data– driven approximation of the Koopman operator: Extending dynamic mode decomposition,

Reference 21

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raw_fallback, observed 2026-08-12T13:03:25.783414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.310512Z digest=sha256:a91a8b22e4b1b78517bc635c06e94f918c84ed8ee8eb2c3ff4014040791447e2

Observation d2f3e09e-082e-4540-8579-fb4157460f54 · outbound

This paper cites A tutorial on Pontryagin- Koopman operators for infinite horizon optimal control,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions A tutorial on Pontryagin- Koopman operators for infinite horizon optimal control,

Reference 22

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raw_fallback, observed 2026-08-12T13:03:25.645329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.317932Z digest=sha256:0388dd20fbe8b5d9834acfdb7925dd99c78e2f1fc38f3fe83fbd815e7adf8121

Observation 5dbdac48-491e-454b-9e0f-1a196dcf9f21 · outbound

This paper cites Isostables, isochrons, and Koopman spectrum for the action–angle representation of stable fixed point dynamics,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Isostables, isochrons, and Koopman spectrum for the action–angle representation of stable fixed point dynamics,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:03:25.624995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.325014Z digest=sha256:0e4e31a2157d09839a168cef66f7a1155a154df465644a96c944f0971eeea08a

Observation 68f48b43-de0f-446d-bc5f-8b38f7f74655 · outbound

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

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Construction of eigenfunctions for scalar-type operators via Laplace averages with connections to the Koopman operator

Reference 24

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no resolver link, observed 2026-08-12T13:03:25.357510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:03:25.357510Z digest=sha256:edd2e65925304679cbdb524ee61ac40a63632f7fde9fe28e21c4f2c984057205

Observation 2b593219-b787-45b9-84c9-259bc6153b01 · outbound

This paper cites Supervised learning of Lyapunov functions using Laplace averages of approximate Koopman eigenfunc- tions,.

Extensions of the Path-integral formula for computation of Koopman eigenfunctions Supervised learning of Lyapunov functions using Laplace averages of approximate Koopman eigenfunc- tions,

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-12T13:03:25.569195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:03:25.420627Z digest=sha256:0b1aae25b611ef1871269b6a649ffb7483c75f62d23b827cc6e3b4c6da386148

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