Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:19:30.449198Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 6 inbound Pith citation observations for arXiv:2507.14040.
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 2026-08-06T16:19:30.449198Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T03:29:35.235600Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
63 of 63 outbound references displayed
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Observation 583efeab-502e-4891-b6c1-4904c61cdae1 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Optimal linear response for Markov Hilbert–Schmidt integral operators and stochastic dynamical systems
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 69a72c40-9326-4a4f-a18e-070183e73e3d · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Optimal Linear Responses for Markov Chains and Stochastically Perturbed Dynamical Systems
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9274b455-57b1-42de-ae44-5119102ab402 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Streamwise-Localized Solutions at the Onset of Turbulence in Pipe Flow
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a0af936e-dd95-45d1-bc60-f3e5ece14504 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b05d6562-479e-47d3-9ad2-a6541d09b90f · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Norms and Exclusion Theorems
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e1122b4d-db32-469b-af87-dde5c1e8ac2d · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Br ´emaud
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ecaecba0-013e-4b88-b209-92a119b83769 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Linear and fractional response for nonlinear dissipative SPDEs
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a562c2ad-372b-4639-8140-32f237e75f80 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f5869b05-c6ab-4f1d-9ede-ea6942e064ec · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Ruelle–Pollicott resonances of stochastic systems in reduced state space. Part I: Theory
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d3f8387e-05ea-42ca-898b-a4902730f02f · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Cvitanovi ´c et al
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation cb5f24d0-26c0-42c8-b5d2-8d29de8798df · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Invariant Measurement of Strange Sets in Terms of Cycles
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 74990dd8-d264-430b-83a4-7568962bdffa · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Central Limit Theorem for Nonstationary Markov Chains
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9b1c32ce-69c4-4371-8872-087d8735367f · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Engel and R
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e32b2d77-2b7d-42ce-aae8-cb5a636d68bd · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Approximating physical invariant measures of mixing dynamical systems in higher dimensions
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 75941512-26ab-458a-b189-1823afaa7c22 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Optimal linear response for expanding circle maps
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 17a13246-1c2e-4627-ad8e-f7bcb7bdb80d · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Optimal linear response for Anosov diffeomorphisms
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe5fbc61-c7f8-4ffa-9dde-6c9cd44c0620 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 851d6e3e-05de-4be8-9508-bafc91dbfd73 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Optimal Response for Hyperbolic Systems by the fast adjoint response method
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fba338e9-b248-4f5f-af3c-1336bef7a503 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Dynamical ensembles in stationary states
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 93b2a93f-c02a-45cd-b3a0-4a21935c344a · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals A simple framework to justify linear response theory
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 72d3e15e-01ae-474d-9f8f-d8a11b6f1480 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Ergodicity Coefficients Defined by Vector Norms
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f67b6238-aff6-4418-a19c-ee929f8bffaa · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 1da77c8a-2e84-46d5-a261-f8f8c2893af0 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unstable periodic orbits and attractor of the barotropic ocean model
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d095d66e-b5a4-47f3-80b4-48ff8a0f166a · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 0ce95fb2-e364-4f17-b3d4-f1670642677e · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Hamiltonian Systems and Transformations in Hilbert Space
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f8a293e9-1e22-404a-a7a7-2bfff8c1ade5 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals The fluctuation-dissipation theorem
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7bd8ab05-8dd3-4187-8f2a-be6e868acb3c · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Lasota and M
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 68e5e10b-e1c0-44a2-8dee-2b5e11662fd5 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Finite Approximation for the Perron-Frobenius Operator. A Solution to Ulam’s Conjecture
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3eca98e5-a0cc-44ac-b4c5-f881733f2cc6 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Information Transfer between Dynamical System Components
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 156af9e0-b2b7-4266-90dd-8776602bf5da · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Deterministic Nonperiodic Flow
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation aa7b7d88-9a10-46bc-a313-b9b80a635ac4 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Response Operators for Markov Processes in a Finite State Space: Radius of Convergence and Link to the Response Theory for Axiom A Systems
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c03c387b-9c10-468e-aaf5-7815bb7a96a9 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Interpretable and Equation-Free Response Theory for Complex Systems
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation af7b4f71-b5df-4109-bec9-6412cde6b197 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals A General Framework for Linking Free and Forced Fluctuations via Koopmanism
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f31858c5-57d9-473f-adeb-8192bcf75c63 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Decomposing the dynamics of the Lorenz 1963 model using unstable periodic orbits: Averages, transitions, and quasi-invariant sets
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation eb187fa5-6bee-483e-89ac-89ea234864f1 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Heterogeneity of the attractor of the Lorenz ’96 model: Lyapunov analysis, unstable periodic orbits, and shadowing properties
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5c38c3e0-8ccd-4721-88fd-a26bc2eaa833 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ba7694ef-fcc0-4f26-81e9-f5f75ba80440 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Fluctuation-Dissipation: Response Theory in Statistical Physics
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 929c7e07-bff8-4909-a300-7933e2eb8c8d · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Relaxation Times of Markov Chains in Statistical Mechanics and Combinatorial Structures
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation bd71868f-ddee-4928-897f-ff88efac5c8d · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Spectrum of Ornstein-Uhlenbeck operators in Lp spaces with respect to invariant measures
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9e1b04dc-090e-44e9-bb79-252784fd20cb · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Stability and exponential convergence of continuous-time Markov chains
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8032533b-60b9-4bec-b88f-bb8495cb1e53 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals The Arsenal of Perturbation Bounds for Finite Continuous-Time Markov Chains: A Perspective
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f2de3158-d756-4342-8cb9-41dae61e85a0 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Direct Path from Turbulence to Time-Periodic Solutions
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a0258f7c-11f0-4d27-88c9-c228ab013c79 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 3d592c1e-e288-46a0-b41b-d01f409ca075 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Linear response of the Lorenz system
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d8a30112-f3c7-4bc8-a241-3eb1e3df9b40 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation b26f5c24-56c1-406e-86c9-3af27ce7770b · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fe01412f-a725-463a-9a22-5ae5ced9e74a · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Reduced-order models for coupled dynamical systems: Data-driven methods and the Koopman operator
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 17a16111-5cbe-4aa3-96d0-9e4e12169062 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Response and Sensitivity Using Markov Chains
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d38bdb52-1e6e-4328-b7d0-66d07f938e3d · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals On some aspects of the response to stochastic and deterministic forcings
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a0932a7e-80a4-4c23-8dfd-64c3cef79ab5 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Optimal response for stochastic differential equations by local kernel perturbations
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d66ab441-4d9e-4b4b-8898-3ca504af2ad0 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Network theory of microscopic and macroscopic behavior of master equation systems
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fa7f5d4e-4422-4b06-ab42-5d42c696a60a · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Perturbation theory and finite Markov chains
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation be083069-c6c6-4b06-ac01-457c4b9faced · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Explicit forms for ergodicity coefficients and spectrum localization
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fbb777ea-c206-4a01-b489-36cdf575cdd3 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Perturbation of the Stationary Distribution Measured by Ergodicity Coefficients
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a0cb39ac-2bf9-48d6-86c0-9190f68e13aa · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Sensitivity of finite Markov chains under perturbation
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 035736dd-caec-4fdd-8514-d568645b78d7 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 442ffed0-d86a-44bc-9950-d0aabd9be3d9 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals An early warning indicator for atmospheric blocking events using transfer operators
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9aeddd18-31ab-44e0-b757-825e45cf0d81 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Resonances in a Chaotic Attractor Crisis of the Lorenz Flow
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 54c43478-5a5b-4d1e-9466-df137270150a · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals A Rigorous ODE Solver and Smale’s 14th Problem
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c57558ec-4278-4671-bb0c-e235e253a6b6 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e5643a84-8869-49e0-853c-43bba998b014 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Disentangling multi-level systems: Averaging, correlations and memory
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 7e975197-bc9b-4621-84b4-3d6d48dfbaf1 · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Coarse Graining the State Space of a Turbulent Flow Using Periodic Orbits
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 58306114-471c-4efa-9e8f-7275734e9c4f · outbound
Markov matrix perturbations to optimize dynamical and entropy functionals Bridging the Gap between Koopmanism and Response Theory: Using Natural Variability to Predict Forced Response
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 270e8429-2701-4bf3-bcd8-5ff21f0af638 · inbound
Linear Response and Optimal Fingerprinting for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals
Reference 131
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 41061ee4-ba18-45fb-9ecd-83732aa721bd · inbound
Linear Response and Optimal Fingerprinting for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals
Reference 129
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 870fb981-24db-4b0b-aa91-36c72b2d1037 · inbound
A Mathematical Framework for Linear Response Theory for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals
Reference 92
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 900e0af7-464e-43a0-b337-da1bf06b2e55 · inbound
A Mathematical Framework for Linear Response Theory for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals
Reference 92
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7f4d5df3-c395-4775-bcd1-3ae3d43f3263 · inbound
A Mathematical Framework for Linear Response Theory for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals
Reference 91
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b24daeb2-ad5c-4439-89cc-27cb8be0bd0a · inbound
Data-driven methods for computation of optimal linear response in high-dimensional dynamical systems Markov matrix perturbations to optimize dynamical and entropy functionals
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.