Paper Citation Record · LEDGER

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems

As of 13 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 2 inbound Pith citation observations for arXiv:2501.13301.

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

pith.paper-citation-record.v1
2501.13301 v4

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:23:21.420473Z

measured 61 of 61 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:51:28.574441Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T10:20:42.555567Z

Reference resolution

59 of 59 outbound references displayed

verified exact0
verified fuzzy41
unresolved17
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External citation measurements

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Outbound references

Observation 0b3fff2b-6c2f-4f1b-9d79-39fc6934bfa9 · outbound

This paper cites Computational fluid dynamics, volume 206.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Computational fluid dynamics, volume 206

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.133985Z

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Unavailable: canonical work link unavailable.

Observation 407c13d4-9847-4d5b-bef5-10927810e1a8 · outbound

This paper cites Pearlmutter, Alexey Andreyevich Radul, and Jeffrey Mark Siskind.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Pearlmutter, Alexey Andreyevich Radul, and Jeffrey Mark Siskind

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.139646Z

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Unavailable: canonical work link unavailable.

Observation 4cff0210-717e-4383-abc8-5a35a5818088 · outbound

This paper cites Stochastic resonance in climatic change.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Stochastic resonance in climatic change

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:23.013644Z

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Observation 8f2c9c2b-e128-4cb9-86df-ce3bdff28b7b · outbound

This paper cites Transition path sampling: Throwing ropes over rough mountain passes, in the dark.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Transition path sampling: Throwing ropes over rough mountain passes, in the dark

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.963307Z

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Observation 37025f54-38ef-4945-8429-d31fc809b645 · outbound

This paper cites an unresolved cited work.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:23:22.934375Z

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Observation 83187ec3-34d5-46fa-ae4c-851d436e19c8 · outbound

This paper cites Auxiliary functions as Koopman observables: Data-driven analysis of dynamical systems via polynomial optimization.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Auxiliary functions as Koopman observables: Data-driven analysis of dynamical systems via polynomial optimization

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.917326Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 82a6575e-d5f3-44f1-9b43-031634ca8785 · outbound

This paper cites Discovering governing equations from data by sparse identification of nonlinear dynamical systems.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Discovering governing equations from data by sparse identification of nonlinear dynamical systems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.166311Z

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Observation 191bde41-337d-40af-8fe0-5e9bd74f1f6a · outbound

This paper cites Neural ordinary differential equations.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Neural ordinary differential equations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.171131Z

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Observation a727642c-ddc4-4760-8196-0822f295cd82 · outbound

This paper cites Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Beyond expectations: Residual Dynamic Mode Decomposition and Variance for Stochastic Dynamical Systems

Reference 9

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T16:23:21.582646Z

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Observation c74b4d30-da1e-4d31-9314-4961b2cb1a19 · outbound

This paper cites Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.877332Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bc770136-ef69-4ca0-bf54-3a384c165181 · outbound

This paper cites Koopman operator spectrum for random dynamical systems.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Koopman operator spectrum for random dynamical systems

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.860576Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f2fd2034-b1b6-4c9f-a46c-f33b9554f38e · outbound

This paper cites The dynamic brain: from spiking neurons to neural masses and cortical fields.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems The dynamic brain: from spiking neurons to neural masses and cortical fields

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.843845Z

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Observation ce5cf46b-09b7-4744-8805-cd6be127018f · outbound

This paper cites Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Impact of network activity on the integrative properties of neocortical pyramidal neurons in vivo

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.827445Z

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Observation dda61599-64d4-4e8d-a664-4b651d659359 · outbound

This paper cites an unresolved cited work.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:23:22.810046Z

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Observation 5b6416cf-d17b-462e-b57d-6979dc8a1e34 · outbound

This paper cites Engel, S.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Engel, S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.794266Z

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Observation 466b721f-bf5f-4a50-a981-492fd54cb67a · outbound

This paper cites Noise in the nervous system.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Noise in the nervous system

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.777792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1fd7a6be-5a6a-4bfd-b329-ab7ede2a2ce2 · outbound

This paper cites Spectral analysis of climate dynamics with operator-theoretic approaches.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Spectral analysis of climate dynamics with operator-theoretic approaches

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.761859Z

Source-reported events for the cited work

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Observation 24ed797b-60b0-48a1-9cff-c4ed91f6322d · outbound

This paper cites Exact numerical simulation of the ornstein-uhlenbeck process and its integral.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Exact numerical simulation of the ornstein-uhlenbeck process and its integral

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.745790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 166a1efe-0b92-4207-9fee-14323eb311bb · outbound

This paper cites Stationary density estimation of itô diffusions using deep learning.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Stationary density estimation of itô diffusions using deep learning

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.711869Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8cd2a94e-6a88-47f4-bf1c-f421a0c401f4 · outbound

This paper cites Stochastic modelling of single ion channels.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Stochastic modelling of single ion channels

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.657429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4562285f-e5de-4c0b-8e94-25eb90dbee31 · outbound

This paper cites Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.236882Z

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Unavailable: canonical work link unavailable.

Observation 186753b3-c1b9-465a-bee5-1ae210332277 · outbound

This paper cites Dynamical systems in neuroscience.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Dynamical systems in neuroscience

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.603330Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3f162cdc-5911-45c9-81ee-c42d84c82c22 · outbound

This paper cites Data- driven approximation of the Koopman generator: Model reduction, system identification, and control.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Data- driven approximation of the Koopman generator: Model reduction, system identification, and control

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.553186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7c1fe584-ff69-4810-b4b3-f23daaf6ee95 · outbound

This paper cites Hamiltonian systems and transformation in Hilbert space.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Hamiltonian systems and transformation in Hilbert space

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.525417Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e16d836a-718b-4e5b-993e-5fc712b6cc51 · outbound

This paper cites Koopman and John von Neumann.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Koopman and John von Neumann

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.507900Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a2fea02a-4db9-4c15-9d9b-58db6ac52f6b · outbound

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

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems On convergence of extended dynamic mode decomposition to the Koopman operator

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.490015Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 87de1b76-7b8a-4bd2-b93a-78c3188d26e0 · outbound

This paper cites Learning dynamical systems via Koopman operator regression in reproducing kernel Hilbert spaces, 2022.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Learning dynamical systems via Koopman operator regression in reproducing kernel Hilbert spaces, 2022

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.472829Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7d87afc2-02b1-4359-86a5-8c294d3a4370 · outbound

This paper cites Chaos, fractals, and noise: stochastic aspects of dynamics, volume 97.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Chaos, fractals, and noise: stochastic aspects of dynamics, volume 97

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.270426Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4eebeeb-51d2-49b6-872f-9b87ab17c192 · outbound

This paper cites Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.441217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b64037af-60bf-4c62-bc7a-913b83787afa · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Fourier Neural Operator for Parametric Partial Differential Equations

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.279791Z

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Unavailable: canonical work link unavailable.

Observation 41183989-bbc3-46b6-b861-0fc94f65ac3c · outbound

This paper cites Physics-informed Koopman network for time-series prediction of dynamical systems.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Physics-informed Koopman network for time-series prediction of dynamical systems

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.414749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 398b75d5-c657-4398-8df5-81ce2f0a342e · outbound

This paper cites Data-driven approximation of Koopman operators and generators: Convergence rates and error bounds, 2024.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Data-driven approximation of Koopman operators and generators: Convergence rates and error bounds, 2024

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.289615Z

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Unavailable: canonical work link unavailable.

Observation 4f862e8c-fe7d-488c-87d8-a8a7faa0e975 · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.294228Z

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Observation 35b9e6e3-1730-4917-8e94-3c9bba099af2 · outbound

This paper cites Deep learning for universal linear embeddings of nonlinear dynamics.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Deep learning for universal linear embeddings of nonlinear dynamics

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.299464Z

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Observation 0bea1d72-7691-4f12-8cb0-5855d3f073b4 · outbound

This paper cites Nathan Kutz.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Nathan Kutz

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.323272Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8657a3f4-4597-48f0-a19d-b1e7465ecb6e · outbound

This paper cites Detecting and estimating signals in noisy cable structures, i: Neuronal noise sources.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Detecting and estimating signals in noisy cable structures, i: Neuronal noise sources

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.218783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d601cbf5-eae4-496b-9701-5a06f096f441 · outbound

This paper cites Koopman operator framework for spectral analysis and identification of infinite-dimensional systems.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Koopman operator framework for spectral analysis and identification of infinite-dimensional systems

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.175590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ae6b98ee-9aae-4553-94c1-7ba222ad9757 · outbound

This paper cites Spectral properties of dynamical systems, model reduction and decompositions.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Spectral properties of dynamical systems, model reduction and decompositions

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.318791Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73437ed0-92ad-4222-a74d-65f14036acc7 · outbound

This paper cites Analysis of fluid flows via spectral properties of the Koopman operator.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Analysis of fluid flows via spectral properties of the Koopman operator

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.149145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9b66a826-ac49-4663-b55d-50130570226c · outbound

This paper cites Macroscopic description for networks of spiking neurons.Physical Review X, 5(2):021028, 2015.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Macroscopic description for networks of spiking neurons.Physical Review X, 5(2):021028, 2015

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.132188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aa845d0c-28c7-4b52-a85b-f7c6e97a0aed · outbound

This paper cites A variational approach to modeling slow processes in stochastic dynamical systems.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems A variational approach to modeling slow processes in stochastic dynamical systems

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.114866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation fe059e46-0211-4b6f-948b-5d2f18461947 · outbound

This paper cites Øksendal.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Øksendal

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.338106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fafdc4e3-7e5b-457a-b398-fbb6571411c7 · outbound

This paper cites Pavliotis.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Pavliotis

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.087216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aea4ddc7-41f5-4ec0-bb96-62008edbc071 · outbound

This paper cites Pazy.Semigroups of Linear Operators and Applications to Partial Differential Equations.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Pazy.Semigroups of Linear Operators and Applications to Partial Differential Equations

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.069652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5bd8e0ae-e99a-4db0-9957-ef511e1e5330 · outbound

This paper cites Philipp, Manuel Schaller, Septimus Boshoff, Sebastian Peitz, Feliks Nüske, and Karl Worthmann.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Philipp, Manuel Schaller, Septimus Boshoff, Sebastian Peitz, Feliks Nüske, and Karl Worthmann

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.053347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 65e0e681-0dc4-4d95-9527-e72a69f794dd · outbound

This paper cites Spectral analysis of nonlinear flows.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Spectral analysis of nonlinear flows

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.035590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6c89a40b-19e2-4e41-8b4b-99fca769cea6 · outbound

This paper cites Data-driven discovery of partial differential equations.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Data-driven discovery of partial differential equations

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.362028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8637fb15-76dd-42f4-90ae-c31ac62fafa1 · outbound

This paper cites Webb, editors.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Webb, editors

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:22.008332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a0bc2264-107b-4c01-b443-9662fe53a1b9 · outbound

This paper cites Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Overcoming the timescale barrier in molecular dynamics: Transfer operators, variational principles and machine learning

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.987221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8c4cdc15-b3e5-4214-b8e0-4e96dc85f3df · outbound

This paper cites Metastability and Markov state models in molecular dynamics, volume 24.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Metastability and Markov state models in molecular dynamics, volume 24

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.939889Z

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Observation 8a9e3566-ad64-463e-953d-7e23247b19c3 · outbound

This paper cites Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.380595Z

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Observation 6b7e2a59-8e64-4120-882c-7e33980051b1 · outbound

This paper cites Chekroun, Henk A.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Chekroun, Henk A

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.856016Z

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Observation d908330a-f101-4daf-a8c9-7a89bbe9124e · outbound

This paper cites Tu, Clarence W.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Tu, Clarence W

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.782331Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 282987b5-bbf3-4cf0-a9f5-41aa772b957e · outbound

This paper cites Introduction to theoretical neurobiology: V olume 2, nonlinear and stochastic theories, 1988.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Introduction to theoretical neurobiology: V olume 2, nonlinear and stochastic theories, 1988

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.713285Z

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Observation 436ee709-f40b-475c-aa32-cdc752bc1a45 · outbound

This paper cites High-Dimensional Probability: An Introduction with Applications in Data Science.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems High-Dimensional Probability: An Introduction with Applications in Data Science

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-10T16:23:21.401051Z

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Observation ceef7159-172f-4569-9a65-775302e41885 · outbound

This paper cites Robust approximation of the stochastic Koopman operator.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Robust approximation of the stochastic Koopman operator

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.652028Z

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Observation ed314d12-ba45-4a86-ac24-6f30b8455207 · outbound

This paper cites Williams, Ioannis G.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Williams, Ioannis G

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.633909Z

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Observation 00cd52e1-455c-46ff-8168-91df504a81c4 · outbound

This paper cites KoopmanLab: Machine learning for solving complex physics equations.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems KoopmanLab: Machine learning for solving complex physics equations

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.617305Z

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Observation 6836a71f-130a-4722-823a-6cb7d91b7816 · outbound

This paper cites Reskoopnet: Learning Koopman representations for complex dynamics with spectral residuals, 2025.

A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems Reskoopnet: Learning Koopman representations for complex dynamics with spectral residuals, 2025

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:23:21.600162Z

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Pith citing papers

Observation 09adff54-729d-44ca-98b5-a8e0625b7ac6 · inbound

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals cites this paper.

ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-10T22:51:28.574441Z

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Observation 00f462e8-193f-4bfb-9a06-e6002f79162c · inbound

Reinforcement-Learning-Guided Data-Driven Estimation of Spectral Properties of Stochastic Koopman Semigroups cites this paper.

Reinforcement-Learning-Guided Data-Driven Estimation of Spectral Properties of Stochastic Koopman Semigroups A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-05T10:20:42.562421Z

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