Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Modern Koopman Theory for Dynamical Systems
As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 35 inbound Pith citation observations for arXiv:2102.12086.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T20:28:42.107981Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T19:10:05.207886Z
Reference resolution
0 of 0 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation b054d6cb-2ea2-414b-9197-9fbb94d930af · inbound
Graph State-Space Models and Latent Relational Inference cites this paper.
Graph State-Space Models and Latent Relational Inference Modern Koopman Theory for Dynamical Systems
Reference 7
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- verified exact
- arxiv_id, observed 2026-05-24T10:06:07.872029Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4380aed6-001f-40f0-86f9-7a56d96769ec · inbound
Learning Hidden Physics and System Parameters with Deep Operator Networks cites this paper.
Learning Hidden Physics and System Parameters with Deep Operator Networks Modern Koopman Theory for Dynamical Systems
Reference 11
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- verified exact
- arxiv_id, observed 2026-05-23T07:45:28.938826Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ca987e4e-0891-43d9-be80-cb77ea824274 · inbound
Data-Driven Contact-Aware Control Method for Real-Time Deformable Tool Manipulation: A Case Study in the Environmental Swabbing cites this paper.
Data-Driven Contact-Aware Control Method for Real-Time Deformable Tool Manipulation: A Case Study in the Environmental Swabbing Modern Koopman Theory for Dynamical Systems
Reference 30
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- verified exact
- arxiv_id, observed 2026-05-22T22:37:12.462486Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 65fd29b6-ec99-43c8-b77a-773a2c69eba4 · inbound
Unfolding Generative Flows with Koopman Operators: Trajectory-Preserving Linearization cites this paper.
Unfolding Generative Flows with Koopman Operators: Trajectory-Preserving Linearization Modern Koopman Theory for Dynamical Systems
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:15:44.936926Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e005f4a-c55a-41b0-a713-507982057956 · inbound
Quantum-Informed Machine Learning for Predicting Spatiotemporal Chaos with Practical Quantum Advantage cites this paper.
Quantum-Informed Machine Learning for Predicting Spatiotemporal Chaos with Practical Quantum Advantage Modern Koopman Theory for Dynamical Systems
Reference 92
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T02:36:59.521462Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 414454b1-f781-4779-99d1-d51d70761066 · inbound
A Review On Safe Reinforcement Learning Using Lyapunov and Barrier Functions cites this paper.
A Review On Safe Reinforcement Learning Using Lyapunov and Barrier Functions Modern Koopman Theory for Dynamical Systems
Reference 137
- Resolution
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- arxiv_id, observed 2026-05-18T22:41:53.833555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2d23c67b-460d-4188-918c-572afe243c7c · inbound
Parameter Robustness in Data-Driven Estimation of Dynamical Systems cites this paper.
Parameter Robustness in Data-Driven Estimation of Dynamical Systems Modern Koopman Theory for Dynamical Systems
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T23:35:55.576059Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c239f3d-27cb-4418-9ff2-43d96fa876bd · inbound
Data-driven discovery of dynamical models in biology cites this paper.
Data-driven discovery of dynamical models in biology Modern Koopman Theory for Dynamical Systems
Reference 91
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T23:15:50.340369Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f73b5c93-f24b-421c-9cc1-86c0088d37a2 · inbound
Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version cites this paper.
Residual SCI Upper Bounds And Lower Witnesses For Koopman Approximate Point Spectra In $L^p$ For $1<p<\infty$: Extended Version Modern Koopman Theory for Dynamical Systems
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T15:56:34.605040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 14b54f24-20c0-4e5c-9a49-f15808f2e72f · inbound
Characteristic Root Analysis and Regularization for Linear Time Series Forecasting cites this paper.
Characteristic Root Analysis and Regularization for Linear Time Series Forecasting Modern Koopman Theory for Dynamical Systems
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-18T12:51:23.439565Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4ef38fd0-63e3-4f5e-a4ec-1a9f2f3f0b20 · inbound
Optimizing Control-Friendly Trajectories with Self-Supervised Residual Learning cites this paper.
Optimizing Control-Friendly Trajectories with Self-Supervised Residual Learning Modern Koopman Theory for Dynamical Systems
Reference 12
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- verified exact
- arxiv_id, observed 2026-05-16T17:48:11.594399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c68dc161-69d3-42d7-8968-a5b898ff5f58 · inbound
Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families cites this paper.
Endpoint Koopman Spectral Computation: $L^1$ Residual Bounds, $L^\infty$ Instability, and Point-Spectral SCI Calibration Families Modern Koopman Theory for Dynamical Systems
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T10:22:29.660866Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf55838f-cf6a-42ca-a3ea-46dfcd2c698c · inbound
Wasserstein Geometry of Information Loss in Nonlinear Dynamical Systems cites this paper.
Wasserstein Geometry of Information Loss in Nonlinear Dynamical Systems Modern Koopman Theory for Dynamical Systems
Reference 10
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- unresolved
- no resolver link, observed 2026-08-03T06:29:57.241320Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe849541-ccdd-4a3c-9401-adb98836075a · inbound
LC-SAC: Lyapunov-Constrained Soft Actor-Critic via Koopman Operator Theory for Trajectory Tracking and Stabilization cites this paper.
LC-SAC: Lyapunov-Constrained Soft Actor-Critic via Koopman Operator Theory for Trajectory Tracking and Stabilization Modern Koopman Theory for Dynamical Systems
Reference 18
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- unresolved
- no resolver link, observed 2026-08-03T04:47:40.487867Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2420091-fb69-403f-a9dd-3c212cb276cb · inbound
Is Flow Matching Just Trajectory Replay for Sequential Data? cites this paper.
Is Flow Matching Just Trajectory Replay for Sequential Data? Modern Koopman Theory for Dynamical Systems
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T06:22:27.476818Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b856d01f-a62c-4ef4-867a-86f89b073a39 · inbound
Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees cites this paper.
Universal Approximation Theorems for Dynamical Systems with Infinite-Time Horizon Guarantees Modern Koopman Theory for Dynamical Systems
Reference 12
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- no resolver link, observed 2026-08-03T03:21:48.297381Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36c941a4-7993-439b-af12-9ef0f5d63721 · inbound
Transformers converge to invariant algorithmic cores cites this paper.
Transformers converge to invariant algorithmic cores Modern Koopman Theory for Dynamical Systems
Reference 54
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T20:46:35.102776Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7e7b3316-58b7-4559-9970-d7663f8bcccc · inbound
Koopman Operator Framework for Modeling and Control of Off-Road Vehicle on Deformable Terrain cites this paper.
Koopman Operator Framework for Modeling and Control of Off-Road Vehicle on Deformable Terrain Modern Koopman Theory for Dynamical Systems
Reference 19
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- arxiv_id, observed 2026-05-14T21:19:28.445723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9f2c1855-d73f-4452-83c7-62bfe60aec00 · inbound
Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm cites this paper.
Weak-DMD: A Galerkin approach to the problem of noise in the Dynamic Mode Decomposition algorithm Modern Koopman Theory for Dynamical Systems
Reference 14
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- arxiv_id, observed 2026-05-10T11:50:20.677940Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3fa3de9a-7a9d-4f21-98ba-762c79268e62 · inbound
Uncertainty-Aware Spatiotemporal Super-Resolution Data Assimilation with Diffusion Models cites this paper.
Uncertainty-Aware Spatiotemporal Super-Resolution Data Assimilation with Diffusion Models Modern Koopman Theory for Dynamical Systems
Reference 5
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- arxiv_id, observed 2026-05-11T14:41:19.997819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cd880926-b6be-4b60-9247-0ecfeb887209 · inbound
Non-conservation and time non-locality of biased tracers cites this paper.
Non-conservation and time non-locality of biased tracers Modern Koopman Theory for Dynamical Systems
Reference 139
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T18:11:05.314456Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1ae81119-ee3d-4fe8-90ce-04ea954cb5fe · inbound
SACK : Safe Active Continual Koopman Learning for Uncertain Systems with Contractive Guarantees cites this paper.
SACK : Safe Active Continual Koopman Learning for Uncertain Systems with Contractive Guarantees Modern Koopman Theory for Dynamical Systems
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T06:56:31.213768Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 690a02c7-3f79-4f82-9dd0-e258a9547596 · inbound
A Novel Schur-Decomposition-Based Weight Projection Method for Stable State-Space Neural-Network Architectures cites this paper.
A Novel Schur-Decomposition-Based Weight Projection Method for Stable State-Space Neural-Network Architectures Modern Koopman Theory for Dynamical Systems
Reference 14
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- arxiv_id, observed 2026-05-15T01:38:27.478342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 99478e62-c6aa-4d29-a1b6-e041e1a8b5da · inbound
Data-driven analysis of metastability in a stochastic bistable system cites this paper.
Data-driven analysis of metastability in a stochastic bistable system Modern Koopman Theory for Dynamical Systems
Reference 85
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-19T20:57:46.948909Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation aa4adc08-6168-4450-aea9-16d32d9ba61f · inbound
Exact expression for maximum Lyapunov exponent during transients in computationally powerful dynamical networks cites this paper.
Exact expression for maximum Lyapunov exponent during transients in computationally powerful dynamical networks Modern Koopman Theory for Dynamical Systems
Reference 26
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T01:19:20.839436Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 92888a92-5e18-4281-9178-30ac88b2455e · inbound
How Optimality Structures Sparse Dictionaries: A Theory for Understanding SAE Representations cites this paper.
How Optimality Structures Sparse Dictionaries: A Theory for Understanding SAE Representations Modern Koopman Theory for Dynamical Systems
Reference 224
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- arxiv_id, observed 2026-07-02T01:36:26.348183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c5c97663-5701-4ccf-b66a-6014f1c345f2 · inbound
Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems cites this paper.
Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems Modern Koopman Theory for Dynamical Systems
Reference 147
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- arxiv_id, observed 2026-07-03T00:37:29.989067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 01a8209b-9912-4488-bafe-1fe9754baae6 · inbound
Integral Formulation of QENDy for Robust Nonlinear System Identification cites this paper.
Integral Formulation of QENDy for Robust Nonlinear System Identification Modern Koopman Theory for Dynamical Systems
Reference 9
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- verified exact
- arxiv_id, observed 2026-07-03T13:18:12.509143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1ca39211-0103-4d1e-aad9-0ce9706b19be · inbound
Data-Based Dynamical Systems Reconstruction: An Adequacy/Reliability Test cites this paper.
Data-Based Dynamical Systems Reconstruction: An Adequacy/Reliability Test Modern Koopman Theory for Dynamical Systems
Reference 9
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- verified exact
- arxiv_id, observed 2026-07-04T19:10:05.209396Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6b16f032-18f0-47a4-9cf2-317d70e43c2a · inbound
A Shallow Recurrent Decoder for Dynamic State Estimation with a Limited Number of PMUs in Power Systems cites this paper.
A Shallow Recurrent Decoder for Dynamic State Estimation with a Limited Number of PMUs in Power Systems Modern Koopman Theory for Dynamical Systems
Reference 49
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- arxiv_id, observed 2026-07-02T17:47:17.640100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9433552d-67a1-469f-ac6f-17d4d34cdde1 · inbound
fSRD: Fuzzy Spectral Region Decomposition -- Automated Multi Operator Koopman Representations via an Adaptive Spectral Learning Architecture cites this paper.
fSRD: Fuzzy Spectral Region Decomposition -- Automated Multi Operator Koopman Representations via an Adaptive Spectral Learning Architecture Modern Koopman Theory for Dynamical Systems
Reference 19
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- no resolver link, observed 2026-08-01T16:30:32.405948Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59cf2b5f-c172-433a-b65a-d184bf147bbe · inbound
RAMP: Recognition parametrisation by Amortised Message Passing cites this paper.
RAMP: Recognition parametrisation by Amortised Message Passing Modern Koopman Theory for Dynamical Systems
Reference 69
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T14:07:57.979115Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c95a0974-c644-4873-a3cb-e82e967e771e · inbound
Learning Ergodic Dynamical Systems from a Finite Trajectory cites this paper.
Learning Ergodic Dynamical Systems from a Finite Trajectory Modern Koopman Theory for Dynamical Systems
Reference 31
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- no resolver link, observed 2026-08-01T04:58:39.684574Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92351730-bf79-4290-90be-af7ad66b327d · inbound
Self-Adaptive Learning and Model Predictive Control for Tracking Unknown Dynamics with No Regret cites this paper.
Self-Adaptive Learning and Model Predictive Control for Tracking Unknown Dynamics with No Regret Modern Koopman Theory for Dynamical Systems
Reference 104
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- unresolved
- no resolver link, observed 2026-08-01T17:24:15.137675Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af85d360-d238-40ce-82cf-ad7d1fbb049d · inbound
Certifying Collective Reasoning in Multi-Agent Systems via Koopman Spectral Analysis cites this paper.
Certifying Collective Reasoning in Multi-Agent Systems via Koopman Spectral Analysis Modern Koopman Theory for Dynamical Systems
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T20:28:42.107981Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.