Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:35:33.419918Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T19:35:33.419918Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-08T11:32:55.066776Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T16:19:30.722482Z
89 of 89 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 65a0cc79-34fc-4cea-9b17-57e021a24c5a · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism We consider dx = 1, 2, 4
Reference 1
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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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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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Unavailable: canonical work link unavailable.
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Hence, we target a data-driven approach to the problem
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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
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Observation 58dfcbee-6423-49f4-9851-4efa23b61763 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Sarewitz and R
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Observation 52f508ed-e428-41a0-841a-06103b275d52 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Kubo, The fluctuation-dissipation theorem, Reports on Progress in Physics 29, 255 (1966)
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Unavailable: canonical work link unavailable.
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 9
Source-reported events for the cited work
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Observation 89d8d982-1eb5-40e4-8d06-0bef9b1d6b59 · outbound
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
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
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
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
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Colangeli and V
Reference 14
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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
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Ruelle, Differentiation of SRB states, Comm
Reference 16
Source-reported events for the cited work
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Observation f2caf25a-3e03-4724-8caa-5dbdca473a78 · outbound
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
Source-reported events for the cited work
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Observation 3ed555db-5a56-47ac-a085-8b89f26f4950 · outbound
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
Source-reported events for the cited work
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 19
Source-reported events for the cited work
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Observation 86e2c1d7-4c28-4b6d-942e-8fca4263a0aa · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Cessac and J.-A
Reference 20
Source-reported events for the cited work
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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
Source-reported events for the cited work
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Observation bf83ef9f-fa7c-4d60-b92b-f1c15851e0f9 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini and S
Reference 22
Source-reported events for the cited work
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Observation 41b57c5c-e2e7-49b2-b44f-f22d4f1f024c · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini, F
Reference 23
Source-reported events for the cited work
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Observation e00bcf51-76a1-443c-a37e-f8d301b3b99d · outbound
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Reference 24
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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
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Reference 27
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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
Source-reported events for the cited work
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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
Source-reported events for the cited work
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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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a492b612-a528-45b3-8826-ca286d915d9c · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 328d3197-06dc-449a-b014-aa3da147b7bc · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 32
Source-reported events for the cited work
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Observation 614eb7bc-a5a6-4f7e-84c9-1b2d1e01ffac · outbound
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
Source-reported events for the cited work
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Observation d0070d76-82cc-43d0-839d-df104df4adb2 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 34
Source-reported events for the cited work
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Observation f4129a20-7c56-4999-9f92-f7e232928914 · outbound
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
Source-reported events for the cited work
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Observation cd852808-d5d1-443f-bb90-1b28131d2d82 · outbound
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
Source-reported events for the cited work
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Observation 96d37ce8-dce6-40a0-8629-b9a8c99180ce · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Bussi, A
Reference 37
Source-reported events for the cited work
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Observation 9972b9f6-ac03-4ffa-a1d2-36a1ca222484 · outbound
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Reference 39
Source-reported events for the cited work
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Observation d2f550e2-1e8b-4592-9768-3eddf517b8c8 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 40
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Observation e6df17e2-6c79-4a62-8cb8-d6e9bd5ee155 · outbound
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
Source-reported events for the cited work
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Observation f2edc5a5-25dd-4369-b352-0d3e9fbf6851 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 42
Source-reported events for the cited work
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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
Source-reported events for the cited work
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Antown, D
Reference 44
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Santos Guti´ errez and V
Reference 45
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Budiˇ si´ c, R
Reference 48
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Santos Guti´ errez and V
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini and M
Reference 53
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Lucarini and M
Reference 54
Source-reported events for the cited work
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Reference 56
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Bolley, I
Reference 57
Source-reported events for the cited work
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Observation 7cceeffa-1748-4e3b-9dd4-f933d7405de3 · outbound
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
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Observation f1437060-3182-4a04-850a-f17630c565ae · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Aurenhammer, Voronoi diagrams—a survey of a fundamental geometric data structure, ACM Comput
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Observation 61fa495a-bde4-4e12-b72b-87a04cc21ded · outbound
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
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Observation 92197f03-3b7b-4409-b1b6-eb314e5892d3 · outbound
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
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Observation c0c6ed68-6d2f-45f9-8d65-16c0724ee1c2 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Abramowitz and I
Reference 62
Source-reported events for the cited work
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Observation 0afdc919-8670-4ab8-88c4-e43973a63b0f · outbound
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
Source-reported events for the cited work
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Observation 17bcdb30-1e43-4110-b5fa-70573ec44c4b · outbound
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
Source-reported events for the cited work
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Observation e762688c-b706-40b1-b0be-c4d919052bda · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 65
Source-reported events for the cited work
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Observation e9232505-b289-4cf3-bef1-ab76349ad0a3 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 67
Source-reported events for the cited work
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Observation 0d2f82c3-5d2d-4b41-b895-9561365d6d89 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Graham, A
Reference 68
Source-reported events for the cited work
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Observation 1beaa205-a668-4a8a-8b8c-6edae14bfaa0 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Sparrow, The Lorenz Equations (Springer, 1982)
Reference 69
Source-reported events for the cited work
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Observation a2d6dee7-9eca-469b-a915-c6ec12904c37 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Engel and R
Reference 70
Source-reported events for the cited work
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Observation 6a1b315a-f7d6-4174-97b6-034dac62b6f9 · outbound
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Reference 71
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Observation 9cb8144f-bc8f-4090-b854-158f5afb3400 · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 72
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Unresolved cited work
Reference 73
Source-reported events for the cited work
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Observation 6e04a8a4-0985-4702-9215-115ea45c296d · outbound
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
Source-reported events for the cited work
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Observation f68f13b6-0dc2-4723-9532-6c6a2cba8a5b · outbound
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Reference 75
Source-reported events for the cited work
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Observation 5906b909-9aff-4760-99be-6f8a36c8565d · outbound
A General Framework for Linking Free and Forced Fluctuations via Koopmanism Resonances in a Chaotic Attractor Crisis of the Lorenz Flow
Reference 76
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A General Framework for Linking Free and Forced Fluctuations via Koopmanism Li and Y
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Reference 81
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Reference 83
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