Paper Citation Record · LEDGER

Markov matrix perturbations to optimize dynamical and entropy functionals

As of 17 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.

pith.paper-citation-record.v1
2507.14040 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:19:30.449198Z

measured 69 of 69 standing notices

One-hop event checks from named stored sources.

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

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T03:29:35.235600Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

63 of 63 outbound references displayed

verified exact3
verified fuzzy48
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 583efeab-502e-4891-b6c1-4904c61cdae1 · outbound

This paper cites Optimal linear response for Markov Hilbert–Schmidt integral operators and stochastic dynamical systems.

Markov matrix perturbations to optimize dynamical and entropy functionals Optimal linear response for Markov Hilbert–Schmidt integral operators and stochastic dynamical systems

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:37.010133Z

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.

Observation 69a72c40-9326-4a4f-a18e-070183e73e3d · outbound

This paper cites Optimal Linear Responses for Markov Chains and Stochastically Perturbed Dynamical Systems.

Markov matrix perturbations to optimize dynamical and entropy functionals Optimal Linear Responses for Markov Chains and Stochastically Perturbed Dynamical Systems

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.999725Z

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.

Observation 9274b455-57b1-42de-ae44-5119102ab402 · outbound

This paper cites Streamwise-Localized Solutions at the Onset of Turbulence in Pipe Flow.

Markov matrix perturbations to optimize dynamical and entropy functionals Streamwise-Localized Solutions at the Onset of Turbulence in Pipe Flow

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.989519Z

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.

Observation a0af936e-dd95-45d1-bc60-f3e5ece14504 · outbound

This paper cites an unresolved cited work.

Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:36.979745Z

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.

Observation b05d6562-479e-47d3-9ad2-a6541d09b90f · outbound

This paper cites Norms and Exclusion Theorems.

Markov matrix perturbations to optimize dynamical and entropy functionals Norms and Exclusion Theorems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.970268Z

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.

Observation e1122b4d-db32-469b-af87-dde5c1e8ac2d · outbound

This paper cites Br ´emaud.

Markov matrix perturbations to optimize dynamical and entropy functionals Br ´emaud

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.960563Z

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.

Observation ecaecba0-013e-4b88-b209-92a119b83769 · outbound

This paper cites Linear and fractional response for nonlinear dissipative SPDEs.

Markov matrix perturbations to optimize dynamical and entropy functionals Linear and fractional response for nonlinear dissipative SPDEs

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.949546Z

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.

Observation a562c2ad-372b-4639-8140-32f237e75f80 · outbound

This paper cites an unresolved cited work.

Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:36.939119Z

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.

Observation f5869b05-c6ab-4f1d-9ede-ea6942e064ec · outbound

This paper cites Ruelle–Pollicott resonances of stochastic systems in reduced state space. Part I: Theory.

Markov matrix perturbations to optimize dynamical and entropy functionals Ruelle–Pollicott resonances of stochastic systems in reduced state space. Part I: Theory

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.929743Z

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.

Observation d3f8387e-05ea-42ca-898b-a4902730f02f · outbound

This paper cites Cvitanovi ´c et al.

Markov matrix perturbations to optimize dynamical and entropy functionals Cvitanovi ´c et al

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.920898Z

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.

Observation cb5f24d0-26c0-42c8-b5d2-8d29de8798df · outbound

This paper cites Invariant Measurement of Strange Sets in Terms of Cycles.

Markov matrix perturbations to optimize dynamical and entropy functionals Invariant Measurement of Strange Sets in Terms of Cycles

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.912606Z

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.

Observation 74990dd8-d264-430b-83a4-7568962bdffa · outbound

This paper cites Central Limit Theorem for Nonstationary Markov Chains.

Markov matrix perturbations to optimize dynamical and entropy functionals Central Limit Theorem for Nonstationary Markov Chains

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.903654Z

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.

Observation 9b1c32ce-69c4-4371-8872-087d8735367f · outbound

This paper cites Engel and R.

Markov matrix perturbations to optimize dynamical and entropy functionals Engel and R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.894374Z

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.

Observation e32b2d77-2b7d-42ce-aae8-cb5a636d68bd · outbound

This paper cites Approximating physical invariant measures of mixing dynamical systems in higher dimensions.

Markov matrix perturbations to optimize dynamical and entropy functionals Approximating physical invariant measures of mixing dynamical systems in higher dimensions

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.885922Z

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.

Observation 75941512-26ab-458a-b189-1823afaa7c22 · outbound

This paper cites Optimal linear response for expanding circle maps.

Markov matrix perturbations to optimize dynamical and entropy functionals Optimal linear response for expanding circle maps

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:19:30.969717Z

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.

Observation 17a13246-1c2e-4627-ad8e-f7bcb7bdb80d · outbound

This paper cites Optimal linear response for Anosov diffeomorphisms.

Markov matrix perturbations to optimize dynamical and entropy functionals Optimal linear response for Anosov diffeomorphisms

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:26.968261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe5fbc61-c7f8-4ffa-9dde-6c9cd44c0620 · outbound

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

Markov matrix perturbations to optimize dynamical and entropy functionals Estimating long term behavior of flows without trajectory integration: the infinitesimal generator approach

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.876761Z

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.

Observation 851d6e3e-05de-4be8-9508-bafc91dbfd73 · outbound

This paper cites Optimal Response for Hyperbolic Systems by the fast adjoint response method.

Markov matrix perturbations to optimize dynamical and entropy functionals Optimal Response for Hyperbolic Systems by the fast adjoint response method

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:27.089715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fba338e9-b248-4f5f-af3c-1336bef7a503 · outbound

This paper cites Dynamical ensembles in stationary states.

Markov matrix perturbations to optimize dynamical and entropy functionals Dynamical ensembles in stationary states

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.867786Z

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.

Observation 93b2a93f-c02a-45cd-b3a0-4a21935c344a · outbound

This paper cites A simple framework to justify linear response theory.

Markov matrix perturbations to optimize dynamical and entropy functionals A simple framework to justify linear response theory

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.858518Z

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.

Observation 72d3e15e-01ae-474d-9f8f-d8a11b6f1480 · outbound

This paper cites Ergodicity Coefficients Defined by Vector Norms.

Markov matrix perturbations to optimize dynamical and entropy functionals Ergodicity Coefficients Defined by Vector Norms

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.848345Z

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.

Observation f67b6238-aff6-4418-a19c-ee929f8bffaa · outbound

This paper cites Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst.

Markov matrix perturbations to optimize dynamical and entropy functionals Periodic motion embedded in plane Couette turbulence: regeneration cycle and burst

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.838477Z

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.

Observation 1da77c8a-2e84-46d5-a261-f8f8c2893af0 · outbound

This paper cites Unstable periodic orbits and attractor of the barotropic ocean model.

Markov matrix perturbations to optimize dynamical and entropy functionals Unstable periodic orbits and attractor of the barotropic ocean model

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.828595Z

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.

Observation d095d66e-b5a4-47f3-80b4-48ff8a0f166a · outbound

This paper cites an unresolved cited work.

Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:36.818729Z

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.

Observation 0ce95fb2-e364-4f17-b3d4-f1670642677e · outbound

This paper cites Hamiltonian Systems and Transformations in Hilbert Space.

Markov matrix perturbations to optimize dynamical and entropy functionals Hamiltonian Systems and Transformations in Hilbert Space

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.809939Z

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.

Observation f8a293e9-1e22-404a-a7a7-2bfff8c1ade5 · outbound

This paper cites The fluctuation-dissipation theorem.

Markov matrix perturbations to optimize dynamical and entropy functionals The fluctuation-dissipation theorem

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.800887Z

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.

Observation 7bd8ab05-8dd3-4187-8f2a-be6e868acb3c · outbound

This paper cites Lasota and M.

Markov matrix perturbations to optimize dynamical and entropy functionals Lasota and M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.791255Z

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.

Observation 68e5e10b-e1c0-44a2-8dee-2b5e11662fd5 · outbound

This paper cites Finite Approximation for the Perron-Frobenius Operator. A Solution to Ulam’s Conjecture.

Markov matrix perturbations to optimize dynamical and entropy functionals Finite Approximation for the Perron-Frobenius Operator. A Solution to Ulam’s Conjecture

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.781505Z

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.

Observation 3eca98e5-a0cc-44ac-b4c5-f881733f2cc6 · outbound

This paper cites Information Transfer between Dynamical System Components.

Markov matrix perturbations to optimize dynamical and entropy functionals Information Transfer between Dynamical System Components

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.771180Z

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.

Observation 156af9e0-b2b7-4266-90dd-8776602bf5da · outbound

This paper cites Deterministic Nonperiodic Flow.

Markov matrix perturbations to optimize dynamical and entropy functionals Deterministic Nonperiodic Flow

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.618135Z

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.

Observation aa7b7d88-9a10-46bc-a313-b9b80a635ac4 · outbound

This paper cites Response Operators for Markov Processes in a Finite State Space: Radius of Convergence and Link to the Response Theory for Axiom A Systems.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.501356Z

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.

Observation c03c387b-9c10-468e-aaf5-7815bb7a96a9 · outbound

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

Markov matrix perturbations to optimize dynamical and entropy functionals Interpretable and Equation-Free Response Theory for Complex Systems

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:28.060807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites A General Framework for Linking Free and Forced Fluctuations via Koopmanism.

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; local_arxiv, observed 2026-08-06T16:19:30.775101Z

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.

Observation f31858c5-57d9-473f-adeb-8192bcf75c63 · outbound

This paper cites Decomposing the dynamics of the Lorenz 1963 model using unstable periodic orbits: Averages, transitions, and quasi-invariant sets.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.407403Z

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.

Observation eb187fa5-6bee-483e-89ac-89ea234864f1 · outbound

This paper cites Heterogeneity of the attractor of the Lorenz ’96 model: Lyapunov analysis, unstable periodic orbits, and shadowing properties.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.268052Z

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.

Observation 5c38c3e0-8ccd-4721-88fd-a26bc2eaa833 · outbound

This paper cites an unresolved cited work.

Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:36.134033Z

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.

Observation ba7694ef-fcc0-4f26-81e9-f5f75ba80440 · outbound

This paper cites Fluctuation-Dissipation: Response Theory in Statistical Physics.

Markov matrix perturbations to optimize dynamical and entropy functionals Fluctuation-Dissipation: Response Theory in Statistical Physics

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:36.088418Z

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.

Observation 929c7e07-bff8-4909-a300-7933e2eb8c8d · outbound

This paper cites Relaxation Times of Markov Chains in Statistical Mechanics and Combinatorial Structures.

Markov matrix perturbations to optimize dynamical and entropy functionals Relaxation Times of Markov Chains in Statistical Mechanics and Combinatorial Structures

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:35.987982Z

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.

Observation bd71868f-ddee-4928-897f-ff88efac5c8d · outbound

This paper cites Spectrum of Ornstein-Uhlenbeck operators in Lp spaces with respect to invariant measures.

Markov matrix perturbations to optimize dynamical and entropy functionals Spectrum of Ornstein-Uhlenbeck operators in Lp spaces with respect to invariant measures

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:35.739628Z

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.

Observation 9e1b04dc-090e-44e9-bb79-252784fd20cb · outbound

This paper cites Stability and exponential convergence of continuous-time Markov chains.

Markov matrix perturbations to optimize dynamical and entropy functionals Stability and exponential convergence of continuous-time Markov chains

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:35.500868Z

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.

Observation 8032533b-60b9-4bec-b88f-bb8495cb1e53 · outbound

This paper cites The Arsenal of Perturbation Bounds for Finite Continuous-Time Markov Chains: A Perspective.

Markov matrix perturbations to optimize dynamical and entropy functionals The Arsenal of Perturbation Bounds for Finite Continuous-Time Markov Chains: A Perspective

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:35.199414Z

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.

Observation f2de3158-d756-4342-8cb9-41dae61e85a0 · outbound

This paper cites Direct Path from Turbulence to Time-Periodic Solutions.

Markov matrix perturbations to optimize dynamical and entropy functionals Direct Path from Turbulence to Time-Periodic Solutions

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:34.959601Z

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.

Observation a0258f7c-11f0-4d27-88c9-c228ab013c79 · outbound

This paper cites an unresolved cited work.

Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:34.777326Z

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.

Observation 3d592c1e-e288-46a0-b41b-d01f409ca075 · outbound

This paper cites Linear response of the Lorenz system.

Markov matrix perturbations to optimize dynamical and entropy functionals Linear response of the Lorenz system

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:34.582612Z

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.

Observation d8a30112-f3c7-4bc8-a241-3eb1e3df9b40 · outbound

This paper cites an unresolved cited work.

Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:34.366059Z

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.

Observation b26f5c24-56c1-406e-86c9-3af27ce7770b · outbound

This paper cites Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms.

Markov matrix perturbations to optimize dynamical and entropy functionals Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:34.077315Z

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.

Observation fe01412f-a725-463a-9a22-5ae5ced9e74a · outbound

This paper cites Reduced-order models for coupled dynamical systems: Data-driven methods and the Koopman operator.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:33.804973Z

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.

Observation 17a16111-5cbe-4aa3-96d0-9e4e12169062 · outbound

This paper cites Response and Sensitivity Using Markov Chains.

Markov matrix perturbations to optimize dynamical and entropy functionals Response and Sensitivity Using Markov Chains

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:33.631434Z

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.

Observation d38bdb52-1e6e-4328-b7d0-66d07f938e3d · outbound

This paper cites On some aspects of the response to stochastic and deterministic forcings.

Markov matrix perturbations to optimize dynamical and entropy functionals On some aspects of the response to stochastic and deterministic forcings

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:33.417822Z

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.

Observation a0932a7e-80a4-4c23-8dfd-64c3cef79ab5 · outbound

This paper cites Optimal response for stochastic differential equations by local kernel perturbations.

Markov matrix perturbations to optimize dynamical and entropy functionals Optimal response for stochastic differential equations by local kernel perturbations

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:19:30.626612Z

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.

Observation d66ab441-4d9e-4b4b-8898-3ca504af2ad0 · outbound

This paper cites Network theory of microscopic and macroscopic behavior of master equation systems.

Markov matrix perturbations to optimize dynamical and entropy functionals Network theory of microscopic and macroscopic behavior of master equation systems

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:33.174632Z

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.

Observation fa7f5d4e-4422-4b06-ab42-5d42c696a60a · outbound

This paper cites Perturbation theory and finite Markov chains.

Markov matrix perturbations to optimize dynamical and entropy functionals Perturbation theory and finite Markov chains

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:33.016458Z

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.

Observation be083069-c6c6-4b06-ac01-457c4b9faced · outbound

This paper cites Explicit forms for ergodicity coefficients and spectrum localization.

Markov matrix perturbations to optimize dynamical and entropy functionals Explicit forms for ergodicity coefficients and spectrum localization

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:32.762877Z

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.

Observation fbb777ea-c206-4a01-b489-36cdf575cdd3 · outbound

This paper cites Perturbation of the Stationary Distribution Measured by Ergodicity Coefficients.

Markov matrix perturbations to optimize dynamical and entropy functionals Perturbation of the Stationary Distribution Measured by Ergodicity Coefficients

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:32.579452Z

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.

Observation a0cb39ac-2bf9-48d6-86c0-9190f68e13aa · outbound

This paper cites Sensitivity of finite Markov chains under perturbation.

Markov matrix perturbations to optimize dynamical and entropy functionals Sensitivity of finite Markov chains under perturbation

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:32.364648Z

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.

Observation 035736dd-caec-4fdd-8514-d568645b78d7 · outbound

This paper cites an unresolved cited work.

Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:32.235351Z

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.

Observation 442ffed0-d86a-44bc-9950-d0aabd9be3d9 · outbound

This paper cites An early warning indicator for atmospheric blocking events using transfer operators.

Markov matrix perturbations to optimize dynamical and entropy functionals An early warning indicator for atmospheric blocking events using transfer operators

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:32.011876Z

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.

Observation 9aeddd18-31ab-44e0-b757-825e45cf0d81 · outbound

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

Markov matrix perturbations to optimize dynamical and entropy functionals Resonances in a Chaotic Attractor Crisis of the Lorenz Flow

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:31.810139Z

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.

Observation 54c43478-5a5b-4d1e-9466-df137270150a · outbound

This paper cites A Rigorous ODE Solver and Smale’s 14th Problem.

Markov matrix perturbations to optimize dynamical and entropy functionals A Rigorous ODE Solver and Smale’s 14th Problem

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:31.652822Z

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.

Observation c57558ec-4278-4671-bb0c-e235e253a6b6 · outbound

This paper cites an unresolved cited work.

Markov matrix perturbations to optimize dynamical and entropy functionals Unresolved cited work

Reference 60

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:19:31.489889Z

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.

Observation e5643a84-8869-49e0-853c-43bba998b014 · outbound

This paper cites Disentangling multi-level systems: Averaging, correlations and memory.

Markov matrix perturbations to optimize dynamical and entropy functionals Disentangling multi-level systems: Averaging, correlations and memory

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:31.300165Z

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.

Observation 7e975197-bc9b-4621-84b4-3d6d48dfbaf1 · outbound

This paper cites Coarse Graining the State Space of a Turbulent Flow Using Periodic Orbits.

Markov matrix perturbations to optimize dynamical and entropy functionals Coarse Graining the State Space of a Turbulent Flow Using Periodic Orbits

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:19:31.164576Z

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.

Observation 58306114-471c-4efa-9e8f-7275734e9c4f · outbound

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

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

Resolution: unresolved; no resolver link, observed 2026-08-06T16:19:30.449198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 270e8429-2701-4bf3-bcd8-5ff21f0af638 · inbound

Linear Response and Optimal Fingerprinting for Nonautonomous Systems cites this paper.

Linear Response and Optimal Fingerprinting for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals

Reference 131

Resolution: verified exact; arxiv_id, observed 2026-05-16T06:07:25.231793Z

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.

Observation 41061ee4-ba18-45fb-9ecd-83732aa721bd · inbound

Linear Response and Optimal Fingerprinting for Nonautonomous Systems cites this paper.

Linear Response and Optimal Fingerprinting for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals

Reference 129

Resolution: unresolved; no resolver link, observed 2026-08-03T03:29:35.235600Z

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 cites this paper.

A Mathematical Framework for Linear Response Theory for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals

Reference 92

Resolution: verified exact; arxiv_id, observed 2026-05-15T07:55:15.278840Z

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.

Observation 900e0af7-464e-43a0-b337-da1bf06b2e55 · inbound

A Mathematical Framework for Linear Response Theory for Nonautonomous Systems cites this paper.

A Mathematical Framework for Linear Response Theory for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals

Reference 92

Resolution: unresolved; no resolver link, observed 2026-07-13T22:01:53.125958Z

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 cites this paper.

A Mathematical Framework for Linear Response Theory for Nonautonomous Systems Markov matrix perturbations to optimize dynamical and entropy functionals

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-02T17:55:39.432547Z

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 cites this paper.

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

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T16:07:08.649457Z

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.