Paper Citation Record · LEDGER

Coarse graining of stochastic differential equations: averaging and projection method

As of 21 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2506.14939.

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pith.paper-citation-record.v1
2506.14939 v1

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measured 53 of 53 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T19:56:20.103050Z

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:14:08.458160Z

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Source: arxiv_reference, observed 2026-05-16T06:22:27.534325Z

Reference resolution

53 of 53 outbound references displayed

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External citation measurements

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Outbound references

Observation d251e10c-53cc-48e5-93d4-31edaef1d5be · outbound

This paper cites Hypercontractivity and asymptotic behavior in nonautonomous kolmogorov equations.

Coarse graining of stochastic differential equations: averaging and projection method Hypercontractivity and asymptotic behavior in nonautonomous kolmogorov equations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.667700Z

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Observation 3a47ce27-caa7-413f-8b75-f7044eec567a · outbound

This paper cites Linear algebra done right.

Coarse graining of stochastic differential equations: averaging and projection method Linear algebra done right

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.657880Z

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Observation 74a9aa3d-8842-4f0a-abc8-f25a16ae42ca · outbound

This paper cites A non-linear kinetic model of self-propelled particles with multiple equilibria.

Coarse graining of stochastic differential equations: averaging and projection method A non-linear kinetic model of self-propelled particles with multiple equilibria

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-15T19:56:20.157518Z

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Observation 553871fc-1243-4725-b9b7-051cf127661e · outbound

This paper cites Global regularity and bounds for solutions of parabolic equations for probability measures.

Coarse graining of stochastic differential equations: averaging and projection method Global regularity and bounds for solutions of parabolic equations for probability measures

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.647706Z

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Observation 5b3cd4e9-3a1c-4cdd-8ff7-e9b435a09519 · outbound

This paper cites Mimicking an it\^ o process by a solution of a stochastic differential equation.

Coarse graining of stochastic differential equations: averaging and projection method Mimicking an it\^ o process by a solution of a stochastic differential equation

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.637066Z

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Observation 767ec52e-885e-4a96-b571-8297e8c5dcfc · outbound

This paper cites Long-time behaviour of degenerate diffusions: Ufg-type sdes and time-inhomogeneous hypoelliptic processes.

Coarse graining of stochastic differential equations: averaging and projection method Long-time behaviour of degenerate diffusions: Ufg-type sdes and time-inhomogeneous hypoelliptic processes

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.627288Z

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Observation dec6ec76-cb95-45be-ba46-d1ddfc983701 · outbound

This paper cites Poisson Equations with locally-Lipschitz coefficients and Uniform in Time Averaging for Stochastic Differential Equations via Strong Exponential Stability.

Coarse graining of stochastic differential equations: averaging and projection method Poisson Equations with locally-Lipschitz coefficients and Uniform in Time Averaging for Stochastic Differential Equations via Strong Exponential Stability

Reference 7

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Observation 6eddae4b-dd4c-4a75-b728-fab4817732dc · outbound

This paper cites Uniform in time estimates for the weak error of the euler method for sdes and a pathwise approach to derivative estimates for diffusion semigroups.

Coarse graining of stochastic differential equations: averaging and projection method Uniform in time estimates for the weak error of the euler method for sdes and a pathwise approach to derivative estimates for diffusion semigroups

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.617253Z

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Observation 3f2452c6-9609-453a-88b2-c070120bfc10 · outbound

This paper cites Optimal prediction and the mori--zwanzig representation of irreversible processes.

Coarse graining of stochastic differential equations: averaging and projection method Optimal prediction and the mori--zwanzig representation of irreversible processes

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.607732Z

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Observation 711a033b-8736-43ff-91a9-b47b0542f804 · outbound

This paper cites Optimal prediction with memory.

Coarse graining of stochastic differential equations: averaging and projection method Optimal prediction with memory

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.598265Z

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Observation 284646ae-60b5-4345-9993-e11eefedf155 · outbound

This paper cites Prediction from partial data, renormalization, and averaging.

Coarse graining of stochastic differential equations: averaging and projection method Prediction from partial data, renormalization, and averaging

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.588116Z

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Observation 86d6f302-5a6e-493d-9f0f-7012a30361ee · outbound

This paper cites Optimal prediction for hamiltonian partial differential equations.

Coarse graining of stochastic differential equations: averaging and projection method Optimal prediction for hamiltonian partial differential equations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.578464Z

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Observation 31af655b-c20d-453a-9def-da8c110d4e73 · outbound

This paper cites Pointwise gradient bounds for degenerate semigroups (of ufg type).

Coarse graining of stochastic differential equations: averaging and projection method Pointwise gradient bounds for degenerate semigroups (of ufg type)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.568422Z

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Observation ca15ae91-f8ac-468e-8a20-ebda1249117a · outbound

This paper cites Global existence of smooth solutions for the vlasov-fokker-planck equation in 1 and 2 space dimensions.

Coarse graining of stochastic differential equations: averaging and projection method Global existence of smooth solutions for the vlasov-fokker-planck equation in 1 and 2 space dimensions

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.558646Z

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Observation 1cc074d4-b104-4096-949c-ed6ea8728d5c · outbound

This paper cites Quantification of coarse-graining error in langevin and overdamped langevin dynamics.

Coarse graining of stochastic differential equations: averaging and projection method Quantification of coarse-graining error in langevin and overdamped langevin dynamics

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.547923Z

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Observation 6b11ec74-135b-4d81-bdee-88a3dffcdcc5 · outbound

This paper cites Ornstein--uhlenbeck operators with time periodic coefficients.

Coarse graining of stochastic differential equations: averaging and projection method Ornstein--uhlenbeck operators with time periodic coefficients

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.537579Z

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Observation 6bae7e9a-39f5-4d59-942e-d891246bd86c · outbound

This paper cites Analysis of multiscale methods for stochastic differential equations.

Coarse graining of stochastic differential equations: averaging and projection method Analysis of multiscale methods for stochastic differential equations

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.525499Z

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Observation 4fb520e9-4e38-4721-b11f-51dbc0e1bd95 · outbound

This paper cites Extracting macroscopic dynamics: model problems and algorithms.

Coarse graining of stochastic differential equations: averaging and projection method Extracting macroscopic dynamics: model problems and algorithms

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.515469Z

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Observation 6f85cdfb-6adf-426f-b207-8fa6571321fb · outbound

This paper cites Mimicking the one-dimensional marginal distributions of processes having an It \^o differential.

Coarse graining of stochastic differential equations: averaging and projection method Mimicking the one-dimensional marginal distributions of processes having an It \^o differential

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.504818Z

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Observation 8e3d8d01-be6b-4a3f-a90a-2c84ec7569f2 · outbound

This paper cites Accelerating diffusions.

Coarse graining of stochastic differential equations: averaging and projection method Accelerating diffusions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.493915Z

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Observation b658856f-e074-4a7d-a0dd-bceb61ea01e4 · outbound

This paper cites Coarse graining of nonreversible stochastic differential equations: Quantitative results and connections to averaging.

Coarse graining of stochastic differential equations: averaging and projection method Coarse graining of nonreversible stochastic differential equations: Quantitative results and connections to averaging

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.483504Z

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Observation 1f508bac-c451-447f-af29-39767ca640a0 · outbound

This paper cites Adaptive dimensionality reduction of stochastic differential equations for protein dynamics.

Coarse graining of stochastic differential equations: averaging and projection method Adaptive dimensionality reduction of stochastic differential equations for protein dynamics

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.473070Z

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Observation b37a5b30-056e-44bd-bced-f648547c8474 · outbound

This paper cites Stochastic modelling: replacing fast degrees of freedom by noise.

Coarse graining of stochastic differential equations: averaging and projection method Stochastic modelling: replacing fast degrees of freedom by noise

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.462649Z

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Observation 823a9b60-5269-4c9e-830f-89caffa89f67 · outbound

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Coarse graining of stochastic differential equations: averaging and projection method Unresolved cited work

Reference 24

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Observation 815da13e-aadc-424f-ac43-37e53c2bab4b · outbound

This paper cites Statistical mechanics of fluid mixtures.

Coarse graining of stochastic differential equations: averaging and projection method Statistical mechanics of fluid mixtures

Reference 25

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This paper cites Fast chaos versus white noise: entropy analysis and a fokker--planck model for the slow dynamics.

Coarse graining of stochastic differential equations: averaging and projection method Fast chaos versus white noise: entropy analysis and a fokker--planck model for the slow dynamics

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.435800Z

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Observation 10fd4187-98a6-4df3-9abd-76535cd045b9 · outbound

This paper cites Nonautonomous kolmogorov parabolic equations with unbounded coefficients.

Coarse graining of stochastic differential equations: averaging and projection method Nonautonomous kolmogorov parabolic equations with unbounded coefficients

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.425191Z

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Observation 046688be-b834-47e7-9662-8b68f3b8ff95 · outbound

This paper cites Brownian motion and stochastic calculus , volume 113.

Coarse graining of stochastic differential equations: averaging and projection method Brownian motion and stochastic calculus , volume 113

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.414567Z

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Observation c6f3015d-c55a-464f-87b6-61dc3642825e · outbound

This paper cites Fractional kinetics in kac--zwanzig heat bath models.

Coarse graining of stochastic differential equations: averaging and projection method Fractional kinetics in kac--zwanzig heat bath models

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.404547Z

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Observation 39ac44eb-44e9-4a6b-b0a5-25788fdbff3a · outbound

This paper cites Analytical methods for Markov semigroups.

Coarse graining of stochastic differential equations: averaging and projection method Analytical methods for Markov semigroups

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.395134Z

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Observation 67c37aa1-0704-4b3c-b85c-6e28dec556a4 · outbound

This paper cites Effective dynamics using conditional expectations.

Coarse graining of stochastic differential equations: averaging and projection method Effective dynamics using conditional expectations

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.384559Z

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Observation 98fe7dc4-f0b6-4074-8a7e-979d01694fa5 · outbound

This paper cites Some remarks on free energy and coarse-graining.

Coarse graining of stochastic differential equations: averaging and projection method Some remarks on free energy and coarse-graining

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.374567Z

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This paper cites Pathwise estimates for an effective dynamics.

Coarse graining of stochastic differential equations: averaging and projection method Pathwise estimates for an effective dynamics

Reference 33

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This paper cites Effective dynamics for non-reversible stochastic differential equations: a quantitative study.

Coarse graining of stochastic differential equations: averaging and projection method Effective dynamics for non-reversible stochastic differential equations: a quantitative study

Reference 34

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This paper cites A mathematical theory of optimal milestoning (with a detour via exact milestoning).

Coarse graining of stochastic differential equations: averaging and projection method A mathematical theory of optimal milestoning (with a detour via exact milestoning)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.346302Z

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Observation e327d107-c34f-4b1a-879d-5cc1fc811822 · outbound

This paper cites Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion.

Coarse graining of stochastic differential equations: averaging and projection method Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.336727Z

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Observation ca6ff3c7-b2d0-4ade-8ecf-267ef6970e33 · outbound

This paper cites Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates.

Coarse graining of stochastic differential equations: averaging and projection method Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.325979Z

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Coarse graining of stochastic differential equations: averaging and projection method Unresolved cited work

Reference 38

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Observation 622974dc-3be3-4486-af4b-f6bb8f28f879 · outbound

This paper cites A continued-fraction representation of the time-correlation functions.

Coarse graining of stochastic differential equations: averaging and projection method A continued-fraction representation of the time-correlation functions

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.305862Z

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This paper cites A mathematical framework for stochastic climate models.

Coarse graining of stochastic differential equations: averaging and projection method A mathematical framework for stochastic climate models

Reference 40

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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This paper cites Spectral properties of effective dynamics from conditional expectations.

Coarse graining of stochastic differential equations: averaging and projection method Spectral properties of effective dynamics from conditional expectations

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.284946Z

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This paper cites Asymptotic analysis for the generalized langevin equation.

Coarse graining of stochastic differential equations: averaging and projection method Asymptotic analysis for the generalized langevin equation

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.273394Z

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Coarse graining of stochastic differential equations: averaging and projection method Stochastic processes and applications

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.262616Z

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Coarse graining of stochastic differential equations: averaging and projection method Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:56:20.251196Z

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Observation 10166f8a-6920-40f3-921c-ecba3050f0a5 · outbound

This paper cites Multiscale methods: averaging and homogenization , volume 53.

Coarse graining of stochastic differential equations: averaging and projection method Multiscale methods: averaging and homogenization , volume 53

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-15T19:56:20.074531Z

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This paper cites The time-dependent born-oppenheimer approximation.

Coarse graining of stochastic differential equations: averaging and projection method The time-dependent born-oppenheimer approximation

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.234019Z

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Observation 1442056b-6cf9-44dc-b6c5-c948d7a5a584 · outbound

This paper cites On poisson equation and diffusion approximation 2.

Coarse graining of stochastic differential equations: averaging and projection method On poisson equation and diffusion approximation 2

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.223256Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 922ff0bb-a608-4e99-a10d-b07f92fb7e4c · outbound

This paper cites Conditions for uniform in time convergence: applications to averaging, numerical discretisations and mean-field systems.

Coarse graining of stochastic differential equations: averaging and projection method Conditions for uniform in time convergence: applications to averaging, numerical discretisations and mean-field systems

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-15T19:56:20.084260Z

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This paper cites Longtime convergence of the temperature-accelerated molecular dynamics method.

Coarse graining of stochastic differential equations: averaging and projection method Longtime convergence of the temperature-accelerated molecular dynamics method

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.211745Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e642ab6e-0bee-4a95-bbd7-333065d57f17 · outbound

This paper cites Topics in propagation of chaos.

Coarse graining of stochastic differential equations: averaging and projection method Topics in propagation of chaos

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.200178Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e2cac268-f17b-4723-a0b9-0b3fe47b91ea · outbound

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Coarse graining of stochastic differential equations: averaging and projection method Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:56:20.189454Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9b6139fa-a79a-4cd8-9a67-2ff3e15f52b2 · outbound

This paper cites Numerically optimal runge--kutta pairs with interpolants.

Coarse graining of stochastic differential equations: averaging and projection method Numerically optimal runge--kutta pairs with interpolants

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.178275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bfc47c84-c9e4-4b89-ad53-b472e09867ea · outbound

This paper cites Effective dynamics along given reaction coordinates, and reaction rate theory.

Coarse graining of stochastic differential equations: averaging and projection method Effective dynamics along given reaction coordinates, and reaction rate theory

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:56:20.168259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 9c6a08fb-3f1e-4c31-8103-4388070fb463 · inbound

Model Reduction of Multivariate Geometric Brownian Motions and Localization in a Two-State Quantum System cites this paper.

Model Reduction of Multivariate Geometric Brownian Motions and Localization in a Two-State Quantum System Coarse graining of stochastic differential equations: averaging and projection method

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T18:14:08.458160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dda73381-6bfe-4d7a-a52c-1e1f30ec2305 · inbound

Is Flow Matching Just Trajectory Replay for Sequential Data? cites this paper.

Is Flow Matching Just Trajectory Replay for Sequential Data? Coarse graining of stochastic differential equations: averaging and projection method

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-16T06:22:27.537042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.