Paper Citation Record · LEDGER

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling

As of 22 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.16132.

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pith.paper-citation-record.v1
2607.16132 v1

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measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T21:22:05.890083Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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Outbound references

Observation 684df7c0-6836-4ea8-ae4d-0e76ad7a9158 · outbound

This paper cites Adler and Jonathan E.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Adler and Jonathan E

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:03.541352Z

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Observation cff6d99a-310d-4236-9329-586e21ae47e5 · outbound

This paper cites Renormalization theory for eddy diffusivity in turbulent transport.Physical Review Letters, 68(20):3028, 1992.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Renormalization theory for eddy diffusivity in turbulent transport.Physical Review Letters, 68(20):3028, 1992

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:03.683419Z

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Observation 8d9d1ebd-8e77-4080-a0ee-768dc609552d · outbound

This paper cites an unresolved cited work.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:03.920759Z

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Observation d08efe0d-e267-491e-901f-94886d6cfb61 · outbound

This paper cites Fourier analysis and nonlinear partial differential equations, volume 343 of Grundlehren der mathematischen Wissenschaften.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Fourier analysis and nonlinear partial differential equations, volume 343 of Grundlehren der mathematischen Wissenschaften

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.093432Z

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Observation 85b844ad-1b69-477f-8bed-3951155fbd2d · outbound

This paper cites Gaussian fluctuations for the stochastic Burgers equation in dimensiond⩾2.Comm.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Gaussian fluctuations for the stochastic Burgers equation in dimensiond⩾2.Comm

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.172880Z

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Observation 3ae34a86-7a49-4fe5-ab13-6dda5f6f94bd · outbound

This paper cites Stationary stochastic Navier-Stokes on the plane at and above criticality.Stoch.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Stationary stochastic Navier-Stokes on the plane at and above criticality.Stoch

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.236355Z

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Observation 0371f5ce-3901-4dac-a21d-b800b2b3aaf7 · outbound

This paper cites Particles and fields in fluid turbulence.Reviews of Modern Physics, 73(4):913–975, 2001.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Particles and fields in fluid turbulence.Reviews of Modern Physics, 73(4):913–975, 2001

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.312010Z

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Observation 36a3a1ee-6553-4096-8bc4-f8d1595ef7c2 · outbound

This paper cites Delayed blow-up by transport noise.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Delayed blow-up by transport noise

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.368879Z

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Observation 5c1a9c69-9148-4f56-8de7-ff89fb8c36d1 · outbound

This paper cites Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations.J.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Scaling limit of stochastic 2D Euler equations with transport noises to the deterministic Navier-Stokes equations.J

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.420274Z

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Observation be5c038f-fbed-4a05-baa2-24d9670a0db9 · outbound

This paper cites Quantitative convergence rates for scaling limit of SPDEs with transport noise.J.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Quantitative convergence rates for scaling limit of SPDEs with transport noise.J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.475430Z

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Observation 76bef6df-2257-49d7-8c0d-0a4833024e71 · outbound

This paper cites Martingale and stationary solutions for stochastic Navier- Stokes equations.Probab.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Martingale and stationary solutions for stochastic Navier- Stokes equations.Probab

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.529203Z

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Observation 27abfc58-2aaa-4cdd-a00d-fafb5800c847 · outbound

This paper cites High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations.Probab.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling High mode transport noise improves vorticity blow-up control in 3D Navier-Stokes equations.Probab

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.583009Z

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Observation 7250cea7-1c2d-46c6-8de8-cc6128ba2aa8 · outbound

This paper cites On the convergence of stochastic transport equations to a deterministic parabolic one.Stoch.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling On the convergence of stochastic transport equations to a deterministic parabolic one.Stoch

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.634423Z

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Observation 83461359-d064-47bb-8af0-04cd52c4ca68 · outbound

This paper cites LDP and CLT for SPDEs with transport noise.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling LDP and CLT for SPDEs with transport noise

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.685174Z

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Observation 17f9be4d-fedd-41ba-922a-d12b8229ecf2 · outbound

This paper cites Anomalous scaling of the passive scalar.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Anomalous scaling of the passive scalar

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.742663Z

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Observation 6ec27ce0-fd7c-4783-9508-a8aea75f9cff · outbound

This paper cites Springer, New York, Second edition, 2008.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Springer, New York, Second edition, 2008

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.796204Z

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Observation f25cdd62-01bd-43ca-89b7-edaecf73f215 · outbound

This paper cites an unresolved cited work.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.847578Z

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Observation bc7455f9-93b0-403c-ae1d-91e3711b8554 · outbound

This paper cites A Wong-Zakai theorem for stochastic PDEs.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling A Wong-Zakai theorem for stochastic PDEs

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.899132Z

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Observation f1ce71a9-a23d-4518-a9fc-94cf1bd84600 · outbound

This paper cites Fluctuations around a homogenised semilinear random PDE.Arch.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Fluctuations around a homogenised semilinear random PDE.Arch

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:04.946474Z

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Observation 7592e53e-2ef0-40c4-84b5-c004f0c488b9 · outbound

This paper cites Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise.Arch.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Global existence and non-uniqueness for 3D Navier-Stokes equations with space-time white noise.Arch

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.009780Z

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Observation e7affc4d-148c-48c5-bc72-66422274d59f · outbound

This paper cites The almost sure Skorokhod representation for subsequences in nonmetric spaces.Theory of Probability & Its Applications, 42(1):167–174, 1998.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling The almost sure Skorokhod representation for subsequences in nonmetric spaces.Theory of Probability & Its Applications, 42(1):167–174, 1998

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.084140Z

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Observation d3e0f6d2-e620-45f1-806e-edd6f2b539ae · outbound

This paper cites Cam- bridge University Press, Cambridge, 1997.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Cam- bridge University Press, Cambridge, 1997

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.157541Z

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Observation ba144cbb-1a14-4581-aa04-5fb22b45ba66 · outbound

This paper cites Kolmogorov.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Kolmogorov

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.231307Z

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Observation f657524d-3750-4398-b21f-3afd8fbbd8b2 · outbound

This paper cites Kraichnan.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Kraichnan

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.307458Z

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Observation b11931c9-437c-4a75-9eaf-d40ec635be29 · outbound

This paper cites Kraichnan.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Kraichnan

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.379467Z

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Observation 83bf0c85-af6a-4230-954c-9cc5cc131e6d · outbound

This paper cites Stochastic Liouville equations.J.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Stochastic Liouville equations.J

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.453292Z

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Observation ac24204d-0f6b-4403-b2f4-e8884f120148 · outbound

This paper cites Majda and Peter R.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Majda and Peter R

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.527269Z

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Observation 8a145c09-0d7a-4343-96c1-cb205093d6cb · outbound

This paper cites Global well-posedness of the dynamicΦ4 model in the plane.Ann.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Global well-posedness of the dynamicΦ4 model in the plane.Ann

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.597243Z

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Observation 0d5bf905-5dc7-461c-a367-7edbb229d5a8 · outbound

This paper cites Probability and its Applications (New York).

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Probability and its Applications (New York)

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.676515Z

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Observation dffedeeb-164a-4560-8401-16c70088b48a · outbound

This paper cites Convolution operators andL(p, q)spaces.Duke Math.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Convolution operators andL(p, q)spaces.Duke Math

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.748170Z

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Observation 7e4b1063-4d6e-42c2-bc1f-0333ed05e693 · outbound

This paper cites Atmospheric diffusion shown on a distance-neighbour graph.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Atmospheric diffusion shown on a distance-neighbour graph

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.819055Z

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Observation cbce6532-f986-41f4-b7e3-bfa4eea0dca3 · outbound

This paper cites an unresolved cited work.

Fluctuation dynamics in randomly advected Navier-Stokes equations below critical scaling Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T21:22:05.890083Z

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