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Paper Citation Record · LEDGER

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

As of 20 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

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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 2026-08-20T06:33:59.587034+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

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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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:24.697761Z digest=sha256:6328a02bc5a909902b3305fd5e7ee0240aa8e4c60f176473735bc622a82e084c

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:03:24.703286Z digest=sha256:10afac15d1f2745122b1013df9a0faf86a17a0e7a4394df385c54daa926047ee

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 2026-08-20T06:33:59.587034+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=sha256:23058b5a0fb8ac61450f77f1458d6126d8b4ea78d69f971ce7a3616ca5d9f447

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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:24.908085Z digest=sha256:4fd04e7c8769ed923015ee152b374afbe584282df560fa74d54fd725bbd0a49a

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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:24.977992Z digest=sha256:06bb7b0f149bbcf7aa44e16a93922a5d08a39bff1a80b76c425db37b988d1b5b

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:24.984833Z digest=sha256:4d0dcef368086d2653f77a99080b220645ab8be5dfbc94fca4ecf72b1e514176

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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:24.993250Z digest=sha256:785616a3badfc3a831ef31d3f3967ff4ce8f17265fd9b310d2f0f6e4e0b9e93c

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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:25.051260Z digest=sha256:dd637ac9c6011276c432cdbff52042d7c03a1a1640c12ea43ac9932caf1840ea

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 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:25.141887Z digest=sha256:d8a1530c72b9e5118bf77c2f2e03faade12cc9c9293ac0a39e547227f2c4b207

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 2026-08-20T06:33:59.587034+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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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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=pdf_text observed=2026-08-12T13:03:25.186364Z digest=sha256:474b0f37e909047382cfc72195acf317450d591efee8bb1f16bcd520b5e4a16e

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:25.277928Z digest=sha256:516411cde9c4cfb22e24093918c8cdd42750b0bd236861c508f583269b7fa5fd

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:25.302919Z digest=sha256:af305f0fbac12b6d1117e5ab0eb518e15081f1a892253b464e71d10eaa0a23bd

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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:25.310512Z digest=sha256:c3a45c7c567e84660152606418908c7cf9555c6f194889aa478704225455af19

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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:25.317932Z digest=sha256:5b8a2e9f7d2e67a5ced4a6b8b8abad7a4050df933fb17f92e41b3aed6d254c01

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

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:25.325014Z digest=sha256:758adec73834f6981f07eaf116797f0c0a780fefd0af6e39d9aeccd3084cf54f

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:03:25.357510Z digest=sha256:d47e0a45b490237d1586280d99209cc22e13c980e28b8309471294c73968975a

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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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-12T13:03:25.420627Z digest=sha256:13150c237905b5c33c0773334c8a159607146a8029203a07492aa281ef9ef406

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