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Paper Citation Record · LEDGER

A General Framework for Linking Free and Forced Fluctuations via Koopmanism

As of 17 August 2026, this Paper Citation Record lists 89 of 89 outbound references and 2 inbound Pith citation observations for arXiv:2506.16446.

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

pith.paper-citation-record.v1
2506.16446 v1

Coverage vector

measured 89 of 89 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T19:35:33.419918Z

measured 91 of 91 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T11:32:55.066776Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T16:19:30.722482Z

Reference resolution

89 of 89 outbound references displayed

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External citation measurements

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Outbound references

Observation 65a0cc79-34fc-4cea-9b17-57e021a24c5a · outbound

This paper cites We consider dx = 1, 2, 4.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism We consider dx = 1, 2, 4

Reference 1

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Unavailable: canonical work link unavailable.

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Observation b7b6bb73-2e70-4df7-81f0-5751fe6e65ca · outbound

This paper cites Specifically, we use the MATLAB function kmeans using Euclidean distance [67].

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Specifically, we use the MATLAB function kmeans using Euclidean distance [67]

Reference 2

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Observation 60372366-69fa-4ed1-bae8-44c2e894c989 · outbound

This paper cites Denoting with Tn(x) the Chebyshev polynomial of the first kind of degree n, we consider a dictionary formed by the set {Ti(x)Tj(y)Tk(z) : i +j + k ≤ P}P i,j,k=1.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Denoting with Tn(x) the Chebyshev polynomial of the first kind of degree n, we consider a dictionary formed by the set {Ti(x)Tj(y)Tk(z) : i +j + k ≤ P}P i,j,k=1

Reference 3

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Observation 1acc0bae-6368-4648-be0a-ce7c79160ba7 · outbound

This paper cites 9, we follow a variety of methods.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism 9, we follow a variety of methods

Reference 4

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Observation ef8846af-a1db-479d-ad8b-030ac81421e4 · outbound

This paper cites Hence, we target a data-driven approach to the problem.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Hence, we target a data-driven approach to the problem

Reference 5

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Observation cb9835d4-5962-4268-a5e2-87a8889f8b55 · outbound

This paper cites above, which is composed of differentiable functions, in contrast with the two previous dictionaries.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism above, which is composed of differentiable functions, in contrast with the two previous dictionaries

Reference 6

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Observation 58dfcbee-6423-49f4-9851-4efa23b61763 · outbound

This paper cites Sarewitz and R.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Sarewitz and R

Reference 7

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Observation 52f508ed-e428-41a0-841a-06103b275d52 · outbound

This paper cites Kubo, The fluctuation-dissipation theorem, Reports on Progress in Physics 29, 255 (1966).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Kubo, The fluctuation-dissipation theorem, Reports on Progress in Physics 29, 255 (1966)

Reference 8

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Observation ca984485-f7b1-44d6-b8d6-aa96a4657117 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 9

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Observation 89d8d982-1eb5-40e4-8d06-0bef9b1d6b59 · outbound

This paper cites Baiesi and C.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Baiesi and C

Reference 10

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Observation e59ff4b4-e92a-480e-bf90-ed40a578f497 · outbound

This paper cites Sarracino and A.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Sarracino and A

Reference 11

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Observation 0f8dc32f-7647-4dc3-9e2d-aadc9843e68d · outbound

This paper cites Lucarini, G.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini, G

Reference 12

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Observation 13796179-c9e0-4e74-bfc6-c10bac5a5650 · outbound

This paper cites Lucarini and M.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini and M

Reference 13

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Observation 1475fd98-7042-4359-8ea8-40ac895e76da · outbound

This paper cites Colangeli and V.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Colangeli and V

Reference 14

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Observation c34e9fab-b658-4190-93ba-59173f04316a · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 15

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Observation 812db0ed-e7b9-47ea-a4b1-e1b7827a3e11 · outbound

This paper cites Ruelle, Differentiation of SRB states, Comm.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Ruelle, Differentiation of SRB states, Comm

Reference 16

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Observation f2caf25a-3e03-4724-8caa-5dbdca473a78 · outbound

This paper cites Ruelle, Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms, Nonlinearity 11, 5 (1998).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Ruelle, Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms, Nonlinearity 11, 5 (1998)

Reference 17

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Observation 3ed555db-5a56-47ac-a085-8b89f26f4950 · outbound

This paper cites Dolgopyat, On differentiability of SRB states for partially hyperbolic systems, Inventiones Mathematicae 155, 389 (2004).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Dolgopyat, On differentiability of SRB states for partially hyperbolic systems, Inventiones Mathematicae 155, 389 (2004)

Reference 18

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Observation f5400898-4c78-4d65-a7f3-abd4818a7a8d · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 19

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Observation 86e2c1d7-4c28-4b6d-942e-8fca4263a0aa · outbound

This paper cites Cessac and J.-A.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Cessac and J.-A

Reference 20

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Observation 65426e23-2cf3-4829-bfea-6e2a02f9132e · outbound

This paper cites Lucarini, Evidence of dispersion relations for the nonlinear response of the Lorenz 63 system, J.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini, Evidence of dispersion relations for the nonlinear response of the Lorenz 63 system, J

Reference 21

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Observation bf83ef9f-fa7c-4d60-b92b-f1c15851e0f9 · outbound

This paper cites Lucarini and S.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini and S

Reference 22

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Observation 41b57c5c-e2e7-49b2-b44f-f22d4f1f024c · outbound

This paper cites Lucarini, F.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini, F

Reference 23

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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 24

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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 25

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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 26

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Observation f032c4c2-c521-4e7d-8ed6-56c3cca546f1 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 27

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Observation 62ec935d-f99d-411a-a582-84f71ba171df · outbound

This paper cites Wang, Forward and adjoint sensitivity computation of chaotic dynamical systems, Journal of Computational Physics 235, 1 (2013).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Wang, Forward and adjoint sensitivity computation of chaotic dynamical systems, Journal of Computational Physics 235, 1 (2013)

Reference 28

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Observation a979b771-c38f-4cb7-a87b-2222cf0171a2 · outbound

This paper cites A computable realization of Ruelle's formula for linear response of statistics in chaotic systems.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism A computable realization of Ruelle's formula for linear response of statistics in chaotic systems

Reference 29

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Observation a7be55ee-0a12-4da7-b950-25eec17da451 · outbound

This paper cites Ni, Approximating linear response by nonintrusive shadowing algorithms, SIAM Journal on Numerical Analysis 59, 2843 (2021), https://doi.org/10.1137/20M1388255.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Ni, Approximating linear response by nonintrusive shadowing algorithms, SIAM Journal on Numerical Analysis 59, 2843 (2021), https://doi.org/10.1137/20M1388255

Reference 30

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This paper cites Ni, Fast adjoint algorithm for linear responses of hyperbolic chaos, SIAM Journal on Applied Dynamical Systems 22, 2792 (2023), https://doi.org/10.1137/22M1522383.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Ni, Fast adjoint algorithm for linear responses of hyperbolic chaos, SIAM Journal on Applied Dynamical Systems 22, 2792 (2023), https://doi.org/10.1137/22M1522383

Reference 31

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Observation 328d3197-06dc-449a-b014-aa3da147b7bc · outbound

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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 32

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Observation 614eb7bc-a5a6-4f7e-84c9-1b2d1e01ffac · outbound

This paper cites Predicting Forced Responses of Probability Distributions via the Fluctuation-Dissipation Theorem and Generative Modeling.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Predicting Forced Responses of Probability Distributions via the Fluctuation-Dissipation Theorem and Generative Modeling

Reference 33

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Observation d0070d76-82cc-43d0-839d-df104df4adb2 · outbound

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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 34

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Observation f4129a20-7c56-4999-9f92-f7e232928914 · outbound

This paper cites Gaspard, Time-reversed dynamical entropy and irreversibility in markovian random pro- cesses, Journal of Statistical Physics 117, 599 (2004).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Gaspard, Time-reversed dynamical entropy and irreversibility in markovian random pro- cesses, Journal of Statistical Physics 117, 599 (2004)

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.270916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.181788Z digest=sha256:89be06993a8b741d869dab002371e49aa8ec77d552f003cd00a33e476ad3d28c

Observation cd852808-d5d1-443f-bb90-1b28131d2d82 · outbound

This paper cites Attal, Markov chains and dynamical systems: The open system point of view, Communi- cations on Stochastic Analysis 4, 447 (2010).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Attal, Markov chains and dynamical systems: The open system point of view, Communi- cations on Stochastic Analysis 4, 447 (2010)

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.259088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.185542Z digest=sha256:10a18be2932dab88ecbacfced98cd12a1b8aca1d7e643758f729ddeca98e2f18

Observation 96d37ce8-dce6-40a0-8629-b9a8c99180ce · outbound

This paper cites Bussi, A.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Bussi, A

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.246573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.189845Z digest=sha256:40ada154bf0275fc666e8302afcd775826714c37858c58bfaf66ee42e0c8f45c

Observation 9972b9f6-ac03-4ffa-a1d2-36a1ca222484 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:34.233526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.193631Z digest=sha256:4d370c63eca78744d7d70ec41787f3e9a4449254708beabb5ee955185e8615b3

Observation 950bc525-0095-48db-9565-da8faeb81969 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:34.220294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.197828Z digest=sha256:e287e6f082014a90584aa25690797ea76de1133f41aa57e5842972eabd2ff7ab

Observation d2f550e2-1e8b-4592-9768-3eddf517b8c8 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.201230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.201230Z digest=sha256:8d3af9f6145f0d742e744578bbf70af68cb1e334db56ded6ee1eea5d406ab1b8

Observation e6df17e2-6c79-4a62-8cb8-d6e9bd5ee155 · outbound

This paper cites Seneta, Sensitivity of finite markov chains under perturbation, Statistics & Probability Letters 17, 163 (1993).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Seneta, Sensitivity of finite markov chains under perturbation, Statistics & Probability Letters 17, 163 (1993)

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.208922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.205439Z digest=sha256:9575facf49dda60a9977b89c61f880ab820ef2e84558f8d803d1997c24004f98

Observation f2edc5a5-25dd-4369-b352-0d3e9fbf6851 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.209007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.209007Z digest=sha256:9024a0f3aff9d0a34ad18957b3f6b9ef2942eac8358b7192689aa9a11d257a25

Observation 9d9707cf-469b-4e50-8926-f89b8fd5eb37 · outbound

This paper cites Lucarini, Response operators for Markov processes in a finite state space: radius of conver- gence and link to the response theory for Axiom A systems, J.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini, Response operators for Markov processes in a finite state space: radius of conver- gence and link to the response theory for Axiom A systems, J

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.197952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.213183Z digest=sha256:bf7ea7636f91e3005dfea786439ff5d850fce31abac02d21321c23a38bf8436a

Observation d7700806-8a87-4c24-a7c4-3baaafd287ac · outbound

This paper cites Antown, D.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Antown, D

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.187052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.217570Z digest=sha256:997558e0ddb2aebf79676e4b8f1304a603044ace79393ef2d207a5153434eb17

Observation 0d7ae9d7-cda0-45a1-99ce-9d02cb6b4576 · outbound

This paper cites Santos Guti´ errez and V.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Santos Guti´ errez and V

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.175968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.222562Z digest=sha256:d80371e610833e3871c5411c9aba9737ba8b29008fe951cd450621c53bee8ba3

Observation ce3edfa0-e8e6-476a-acdb-01cd290ef460 · outbound

This paper cites Interpretable and Equation-Free Response Theory for Complex Systems.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Interpretable and Equation-Free Response Theory for Complex Systems

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.227008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.227008Z digest=sha256:458dd29227818a87ef0c87b11af36090206334dd556be88714713f179ec60529

Observation e0b2dd7c-3fc2-44c3-94b0-70f3c49f439b · outbound

This paper cites Mezi´ c, Spectral properties of dynamical systems, model reduction and decompositions, Nonlinear Dynam.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Mezi´ c, Spectral properties of dynamical systems, model reduction and decompositions, Nonlinear Dynam

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.231682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.231682Z digest=sha256:a782e182aecdf05fae9b190814bed85214d67047a09de3c7d1f094979434771b

Observation de7cb0b3-535b-46bc-9127-cab1d5f2c571 · outbound

This paper cites Budiˇ si´ c, R.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Budiˇ si´ c, R

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.158310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.235941Z digest=sha256:61074b8e540370187648f5e742d03afd1ac08adad638ade773ead8309aec1f0f

Observation e1ad107f-0780-4be5-b174-a7812c930e0a · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:34.146448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.241196Z digest=sha256:fd94f226be375a6ec222492008e1285b5c0c2acde291ff8ced6cbd80a192b112

Observation 3045ce3a-6ac1-4a51-a03d-fbd0cae4b8b0 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:34.135627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.244990Z digest=sha256:257205ec58121a93235bd6f7c16e189771093c5967e00414d8be722e9b227c5b

Observation a323984b-c16d-469d-87d9-88b47faff096 · outbound

This paper cites Santos Guti´ errez and V.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Santos Guti´ errez and V

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.124557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.250069Z digest=sha256:e5a5ea77e29002b9dc79ec2f8043409ed1da3b81e41e87b566dd1931d63a5d2e

Observation 44874f6c-b5aa-45b3-b753-b97ded518ff4 · outbound

This paper cites Lucarini and M.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini and M

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.113178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.258887Z digest=sha256:a1908b673defeafd9b4531dba379a1103556eea582f167ecbecb20b4e124c9b2

Observation 90356cf2-8b6f-43f6-b477-0003c0c0123a · outbound

This paper cites Lucarini and M.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini and M

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.101565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.262722Z digest=sha256:4d6648316b5bfec7f4a00dd46b81b2cc3f1fdfd8a18a7cb45076e9e2515befd8

Observation 9237643b-d93f-48ad-a8ec-d81513693f1e · outbound

This paper cites Bridging the Gap between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Bridging the Gap between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.266494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.266494Z digest=sha256:8267f5ad055c9f44905b1d799b9d8ac43e7a6ef9d15569a88ae9ee1d17f9b982

Observation 6f7ebbaf-75c3-4ee4-9fe2-e7971dc6a979 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:34.091006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.270459Z digest=sha256:6f3132515e66164279d7ad5885af1678337ebd9c8c3fc43aea2bf578413a23c8

Observation 29c647b4-37df-41c8-8c45-b98a7263e973 · outbound

This paper cites Bolley, I.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Bolley, I

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.080351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.274344Z digest=sha256:88771f0e2270608252dde9defc03f9766a9b1eb92204dbb3da5c78dd2c7415b8

Observation 7cceeffa-1748-4e3b-9dd4-f933d7405de3 · outbound

This paper cites Ulam, A Collection of Mathematical Problems , Interscience tracts in pure and applied mathematics (Interscience Publishers, 1960).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Ulam, A Collection of Mathematical Problems , Interscience tracts in pure and applied mathematics (Interscience Publishers, 1960)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.070168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.278246Z digest=sha256:348481fd2e20888bc2c8f7b36a913ee8bee28f6443383dcec51304ba9c78194d

Observation f1437060-3182-4a04-850a-f17630c565ae · outbound

This paper cites Aurenhammer, Voronoi diagrams—a survey of a fundamental geometric data structure, ACM Comput.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Aurenhammer, Voronoi diagrams—a survey of a fundamental geometric data structure, ACM Comput

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.059461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.281828Z digest=sha256:ea2cf2c49c93bd9e152095682e640515fd87f0850ba7fd08c8f2c196370bb108

Observation 61fa495a-bde4-4e12-b72b-87a04cc21ded · outbound

This paper cites Forgy, Cluster analysis of multivariate data: Efficiency versus interpretability of classifica- tion, Biometrics 21, 768 (1965).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Forgy, Cluster analysis of multivariate data: Efficiency versus interpretability of classifica- tion, Biometrics 21, 768 (1965)

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.048929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.285490Z digest=sha256:50c34a0dd095c1e0ea58c78f306425be2e5b5668164f85f0af3d86ba40719c87

Observation 92197f03-3b7b-4409-b1b6-eb314e5892d3 · outbound

This paper cites Lloyd, Least squares quantization in pcm, IEEE Transactions on Information Theory 28, 129 (1982).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lloyd, Least squares quantization in pcm, IEEE Transactions on Information Theory 28, 129 (1982)

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.038213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.290396Z digest=sha256:4466a46944447197c22dcf0803b666d87356c1dedd14491eaf7aeffca0b0a8a5

Observation c0c6ed68-6d2f-45f9-8d65-16c0724ee1c2 · outbound

This paper cites Abramowitz and I.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Abramowitz and I

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.027362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.294369Z digest=sha256:4fe7a126b8be2b09c4b431745eeb8fa983b1ef1d77d96ddda03826b5565ee693

Observation 0afdc919-8670-4ab8-88c4-e43973a63b0f · outbound

This paper cites Froyland, Approximating physical invariant measures of mixing dynamical systems in higher dimensions, Nonlinear Analysis: Theory, Methods & Applications 32, 831 (1998).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Froyland, Approximating physical invariant measures of mixing dynamical systems in higher dimensions, Nonlinear Analysis: Theory, Methods & Applications 32, 831 (1998)

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.016930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.299412Z digest=sha256:fa669e9e0da76a7870de02409bb61d92db8a8f4bbebb699240620dc6ecf73769

Observation 17bcdb30-1e43-4110-b5fa-70573ec44c4b · outbound

This paper cites Tucker, A Rigorous ODE Solver and Smale’s 14th Problem, Foundations of Computational Mathematics 2, 53 (2002).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Tucker, A Rigorous ODE Solver and Smale’s 14th Problem, Foundations of Computational Mathematics 2, 53 (2002)

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:34.005644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.303810Z digest=sha256:43cefff39105c20f99f87bfb5059fa394442982eaf81972198829ff961ca4f07

Observation e762688c-b706-40b1-b0be-c4d919052bda · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:33.994903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.308357Z digest=sha256:1369e8a1370fae884f547777b1d35a5ab91347f50f7bcd1f8bd0b6842fa9f2ce

Observation e9232505-b289-4cf3-bef1-ab76349ad0a3 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.318831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.318831Z digest=sha256:1498656612418d2788924a9bcf9df958cae0a50cb7042d4527a6ad51dfa5ce36

Observation 0d2f82c3-5d2d-4b41-b895-9561365d6d89 · outbound

This paper cites Graham, A.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Graham, A

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:33.984652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.322826Z digest=sha256:5886752d14bdda176939c3d03d8b1dff53c64c2606a987d55e10abe13d49c423

Observation 1beaa205-a668-4a8a-8b8c-6edae14bfaa0 · outbound

This paper cites Sparrow, The Lorenz Equations (Springer, 1982).

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Sparrow, The Lorenz Equations (Springer, 1982)

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:33.973678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.328216Z digest=sha256:a5e653f464dadd4ad560b918ea784d6800ad7f97a831276eaa59ef1b41aca5cd

Observation a2d6dee7-9eca-469b-a915-c6ec12904c37 · outbound

This paper cites Engel and R.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Engel and R

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:33.962652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.333089Z digest=sha256:81fa17390642daa04e601ce2fada770f66526f75a2a81c6a3d39ff1cd2a4694e

Observation 6a1b315a-f7d6-4174-97b6-034dac62b6f9 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:33.951838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.338017Z digest=sha256:145d2e135442a54ea559c145e96fc3bb2377c4b3a87dbe460d5bc9593b55598f

Observation 9cb8144f-bc8f-4090-b854-158f5afb3400 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:33.940748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.342834Z digest=sha256:20684c4913cb8f355fec8075350cab0244c32e8bc3c759c6568b14654c6c3a00

Observation f942890f-572d-4e24-9c1f-1ac32800111c · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:33.930320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 6e04a8a4-0985-4702-9215-115ea45c296d · outbound

This paper cites Froyland, Computer-assisted bounds for the rate of decay of correlations, Comm.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Froyland, Computer-assisted bounds for the rate of decay of correlations, Comm

Reference 74

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.350619Z digest=sha256:de2060946701d92ab6f45e4ce5d9ad452f362d0ea78cccd8b4debe81f0bca0ba

Observation f68f13b6-0dc2-4723-9532-6c6a2cba8a5b · outbound

This paper cites Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach

Reference 75

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 5906b909-9aff-4760-99be-6f8a36c8565d · outbound

This paper cites Resonances in a Chaotic Attractor Crisis of the Lorenz Flow.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Resonances in a Chaotic Attractor Crisis of the Lorenz Flow

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.358980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.358980Z digest=sha256:580b009d0ed76f6fb2bed23ea856c9b645d15ab04f727d50022376135e0ba214

Observation f444b1e2-a24e-4436-8176-c849f2d8c0ff · outbound

This paper cites Li and Y.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Li and Y

Reference 77

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.363896Z digest=sha256:8513c08cf90a3f8fffe22f219ea505d3dd9616c5b1d0622bddccf25106032272

Observation 4820efca-808a-440b-bf5e-4a56f9c1798d · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 78

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 9e2d854a-9f57-408d-a4ca-e6a39c7cdc81 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 79

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:35:33.897350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation c1b6900b-8715-4068-9d70-d72ea8bffe00 · outbound

This paper cites Blender and V.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Blender and V

Reference 80

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 6152d33e-c4c5-4974-8981-11b2b211e071 · outbound

This paper cites Pelino, F.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Pelino, F

Reference 81

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.379063Z digest=sha256:c9b08290e309e043c604191d22697cafcd9c8df4e612caaa7fde6de4abf337bf

Observation 49303163-6334-4d58-b3d7-03dd4ada704f · outbound

This paper cites Santos Guti´ errez, Operator Methods and Response in Climate Dynamics , Ph.D.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Santos Guti´ errez, Operator Methods and Response in Climate Dynamics , Ph.D

Reference 82

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.382404Z digest=sha256:710fc86a00d50438a7794b2e5d2db38bdb6fca3b01481bf3394c7bc6b60d253a

Observation 2a69c501-4da4-43db-a406-e2fd3201bfef · outbound

This paper cites Gritsun and V.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Gritsun and V

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:33.850009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.386871Z digest=sha256:711033dc559e5b1f9fbd568eced739db5e22f55496dcdd0dd26c456b4ef44fe5

Observation 3628a34d-3f62-47f3-9102-e20ed1103ce6 · outbound

This paper cites A Modified Bisecting K-Means for Approximating Transfer Operators: Application to the Lorenz Equations.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism A Modified Bisecting K-Means for Approximating Transfer Operators: Application to the Lorenz Equations

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.391262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.391262Z digest=sha256:1084a2e807aa78b5aead08992ccda35edf54cedee8cf807ce1670083c2aceeec

Observation c3b8f7ed-0e64-46fe-ad10-ddc60f27b4de · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.396102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.396102Z digest=sha256:19afa54af76a941d6d5172717e71146ad619e808d8dff234791ac6091bf88f93

Observation fd68e121-3c30-4f0c-8e78-c78b440df009 · outbound

This paper cites Wanner and I.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Wanner and I

Reference 86

Resolution
verified exact
doi, observed 2026-08-15T19:35:33.463765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.399892Z digest=sha256:528ac637fa933b330a18d6024af7250177d6d2a4ae5b583460ed2b5daba07d4d

Observation a970d8d5-9b78-45b7-b552-44da367703a6 · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.403872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.403872Z digest=sha256:a68d39e9be1f09cf44c4a48cfbd935a162397f367b0b9032b53cbe94f33d304b

Observation 421bec61-7838-4096-89aa-50c9c44b2cee · outbound

This paper cites Lohmann, A.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lohmann, A

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.407912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.407912Z digest=sha256:ba3f65aca77950f0feddf12a4717834a04f6b3394ef0b537f0e4605455a37e1e

Observation 07173432-9775-4a08-84a6-28ba2135ff05 · outbound

This paper cites Navarra, J.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Navarra, J

Reference 89

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.412064Z digest=sha256:a3cbca39181952dbbb17a0f4a22704eac413eeebb8a0bfae0b4251f2e94e71f5

Observation c92df5a7-59e0-496d-b201-312d8a777fa3 · outbound

This paper cites Navarra, J.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Navarra, J

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:35:33.826293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T19:35:33.416262Z digest=sha256:898d6ed0fdc803b9eac9aaa690a05d32dab80872145e905c0c8e50dfee2e3b37

Observation 5ff67e89-3765-4a06-b0b1-1d933634194e · outbound

This paper cites an unresolved cited work.

A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work

Reference 91

Resolution
unresolved
no resolver link, observed 2026-08-15T19:35:33.419918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:35:33.419918Z digest=sha256:6ced30f02a2d9115f7fb3b17ada1be3d4c5921859295022eaff047dd6f10059e

Pith citing papers

Observation bb645cb1-53f2-46a8-8923-bc57e2f53dce · inbound

Interpretable and Equation-Free Response Theory for Complex Systems cites this paper.

Interpretable and Equation-Free Response Theory for Complex Systems A General Framework for Linking Free and Forced Fluctuations via Koopmanism

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-08T11:32:55.066776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T11:32:55.066776Z digest=sha256:62adf1151e56ae6102eb6276073ee092add251306d5db76995fdd510ec232cc2

Observation af7b4f71-b5df-4109-bec9-6412cde6b197 · inbound

Markov matrix perturbations to optimize dynamical and entropy functionals cites this paper.

Markov matrix perturbations to optimize dynamical and entropy functionals A General Framework for Linking Free and Forced Fluctuations via Koopmanism

Reference 33

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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