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Paper Citation Record · LEDGER

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades

As of 11 August 2026, this Paper Citation Record lists 100 of 138 outbound references and 0 inbound Pith citation observations for arXiv:2608.06606.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2608.06606 v1

Coverage vector

measured 100 of 138 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:24:42.344756Z

measured 100 of 100 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

100 of 138 outbound references displayed

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  • verified fuzzy4
  • unresolved96
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 66211db3-79ca-40ad-8907-3a9bf715597f · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 1

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Observation 38edd09f-abf9-4d5b-b485-06e7843b39a7 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 2

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 3

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Observation 8afc7a22-077d-4b82-afe4-ae71cd298a19 · outbound

This paper cites Smagorinsky, General circulation experiments with the primitive 56 equations: I.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Smagorinsky, General circulation experiments with the primitive 56 equations: I

Reference 4

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Observation bfc20720-2c4c-4882-ad28-7b0a898bd075 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 5

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Observation 2c40a85a-b892-4b89-8c3e-7dd62f4b5af0 · outbound

This paper cites Vreman, B.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Vreman, B

Reference 7

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This paper cites Jakhar, Y.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Jakhar, Y

Reference 8

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Observation 735385b5-f312-45aa-8ce8-446e7b844804 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 9

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 10

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 11

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 12

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 13

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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This paper cites (Oxford University Press, 2002).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades (Oxford University Press, 2002)

Reference 20

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This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 21

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades 16 (1966) pp

Reference 22

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Resseguier, E

Reference 28

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Resseguier, E

Reference 29

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Forster, D

Reference 32

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Yakhot and S

Reference 33

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 36

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Berera, M

Reference 40

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Observation 71b74476-f511-4f0c-9392-189565c86296 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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Observation 8b790d1a-e194-44cb-8ea2-8a3cf5c2ef41 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Zwanzig, Memory effects in irreversible thermodynamics, Physical Review124, 983 (1961)

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 43

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Observation b30d0f98-c5e9-48ef-b38f-df372d917c2d · outbound

This paper cites Chorin and O.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Chorin and O

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Observation 59dee6e3-1e06-48d6-ae18-d485751b21c6 · outbound

This paper cites Lucarini and M.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Lucarini and M

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source=pdf_text observed=2026-08-10T04:24:39.774754Z digest=sha256:9460969347eda031cff028e53ca8aeb83bcb9f0d596f490e3bc86f82c8b47085

Observation 914dfcc9-2189-4f6f-9b61-246edf83bab8 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Isserlis, On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables, Biometrika12, 134 (1918)

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Observation d136f6a8-5fc5-464a-bb2c-710db1f4ff16 · outbound

This paper cites 129 (Cambridge University Press, Cambridge, 1997).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades 129 (Cambridge University Press, Cambridge, 1997)

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source=pdf_text observed=2026-08-10T04:24:39.874741Z digest=sha256:a7ff399d7227d61fae3d747413372c9ea6798fafc6c1baca3d219084ac6e757c

Observation d3e2ede5-50e1-41f8-823b-862f2c3b5b21 · outbound

This paper cites Peccati and M.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Peccati and M

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source=pdf_text observed=2026-08-10T04:24:39.904907Z digest=sha256:3e10445c46412fe2c0cfa5d1189f13cfa4dfb2095523e92be198164096748577

Observation 3932da4c-9482-493a-bb4c-48d534be9ce6 · outbound

This paper cites Nakano, A theory of homogeneous, isotropic turbulence of incom- pressible fluids, Annals of Physics73, 326 (1972).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Nakano, A theory of homogeneous, isotropic turbulence of incom- pressible fluids, Annals of Physics73, 326 (1972)

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Observation 965a786c-a3c5-434f-be73-ac44618c0c13 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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Observation 756e65a4-fbfe-4bdb-8ee9-f58161383da1 · outbound

This paper cites Da Prato and J.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Da Prato and J

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source=pdf_text observed=2026-08-10T04:24:40.035417Z digest=sha256:fc4969e3969595ea1b4dadec1b2578e7b97deda5718424ca3414304e77fb5146

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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source=pdf_text observed=2026-08-10T04:24:40.069867Z digest=sha256:5187fb4d472888bd48f0e19ba1dcdbd180f71033fee5f3ceaa5da6c13bc60639

Observation 37f37266-f297-4c2c-b40a-96109459473d · outbound

This paper cites Chen and R.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Chen and R

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Observation 5dc5f507-4a22-4cdc-9d9c-1b1262b15ad8 · outbound

This paper cites Eyink and U.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Eyink and U

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source=pdf_text observed=2026-08-10T04:24:40.142868Z digest=sha256:77d5098cece63375c556a928449f3d18aed702161c8dba00b4894cd5bce7bc96

Observation 3a837ed4-44a3-47a5-9998-1e1c07ba3be3 · outbound

This paper cites Fjørtoft, On the Changes in the Spectral Distribution of Kinetic EnergyforTwo-Dimensional,NondivergentFlow,Tellus5,225(1953).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Fjørtoft, On the Changes in the Spectral Distribution of Kinetic EnergyforTwo-Dimensional,NondivergentFlow,Tellus5,225(1953)

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Observation c61bf4c7-23d9-4249-ace2-1feebb354220 · outbound

This paper cites Greydanus, M.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Greydanus, M

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Observation f9427fee-7b33-4401-a79a-e6eaf0bcee06 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 57

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Observation 1fa2ac68-a4a7-40da-8a65-39861f23c0ed · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 58

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Observation 99eed95d-73c6-4336-ab7c-a53f09b2af5a · outbound

This paper cites 68 (Springer- Verlag, New York, 1997).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades 68 (Springer- Verlag, New York, 1997)

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Observation 777bb0b1-ff70-4bca-9c26-7724057fb847 · outbound

This paper cites Foias, O.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Foias, O

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source=pdf_text observed=2026-08-10T04:24:40.276434Z digest=sha256:358cfe6a80cc1af112c1a46fcf5ae80ec68a3a6da901587a5af9709e82c0ec76

Observation 9639b4d0-6b24-4bad-8313-101b9c8161b9 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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Observation 3600c85d-0df9-4a3c-ac67-e7e030f32a7b · outbound

This paper cites Kondrashov, M.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Kondrashov, M

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Observation 35220308-d5fd-438b-af23-b920da0c6799 · outbound

This paper cites Wouters and V.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Wouters and V

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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Observation e3f158ce-6acf-4dc5-b0e9-19365544e69c · outbound

This paper cites Santos Gutiérrez, V.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Santos Gutiérrez, V

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source=pdf_text observed=2026-08-10T04:24:40.444746Z digest=sha256:291778bc9f4fbe263b5ab0838c8f692472ac3aa5e81b807ce2735b317e3d9089

Observation 8c0fa826-552b-439d-81cc-82f4a4297748 · outbound

This paper cites Canet, Functional renormalisation group for turbulence, Journal of Fluid Mechanics950, P1 (2022).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Canet, Functional renormalisation group for turbulence, Journal of Fluid Mechanics950, P1 (2022)

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Observation a5c13262-510d-4f41-bdb8-c87c1fdea6e6 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 68

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Observation b8263433-0db0-4d09-bc7e-88def66a5456 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 69

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source=pdf_text observed=2026-08-10T04:24:40.634742Z digest=sha256:f35bbb183124f36aec8456e1450404b81d3f1c0bc55de4752d298412beb1ff1b

Observation a9d914be-240c-4941-a9d9-af68342e88df · outbound

This paper cites Chueshov,Monotone Random Systems — Theory and Applications, Lecture Notes in Mathematics, Vol.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Chueshov,Monotone Random Systems — Theory and Applications, Lecture Notes in Mathematics, Vol

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Observation e4d3fbb7-aa42-4c0c-be05-4dc5c90e4a13 · outbound

This paper cites Crauel and F.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Crauel and F

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Observation c8b8d3db-820e-4a2e-b861-106a1c00cc9d · outbound

This paper cites Crauel, A.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Crauel, A

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Observation 27e69c28-7149-439e-846b-940855249f79 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 73

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Observation c95898e6-19d9-4108-adaf-70f09a4536e7 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 74

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Observation 4491810a-daf1-4cd7-a7c6-0f9a9515b4ac · outbound

This paper cites Cotter, D.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Cotter, D

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Observation 5ae5f0f2-f6fa-4ba0-a2b4-3e8209f494b9 · outbound

This paper cites Abraham, J.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Abraham, J

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Observation bd50cfb4-f61c-4e09-98c7-7ac276b3a277 · outbound

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A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

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source=pdf_text observed=2026-08-10T04:24:41.024747Z digest=sha256:0e9003709c94416c42685a12e6e594ba678e866cbdee2744d8389d612e867c1e

Observation 9acf9ba0-6b3c-4b2b-8eab-bb25ee342515 · outbound

This paper cites Bühler,Waves and Mean Flows, 2nd ed., Cambridge Monographs on Mechanics (Cambridge University Press, 2014).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Bühler,Waves and Mean Flows, 2nd ed., Cambridge Monographs on Mechanics (Cambridge University Press, 2014)

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Observation 422e976e-c47f-47c7-bad7-3276ef925fec · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.114743Z

Source-reported events for the cited work

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Observation 31939e4f-dfd7-4239-a205-7bcf06d3a878 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.164754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.164754Z digest=sha256:e9e3fd03f8d81a527a646347e6ce1aafda0ea30f4d4985a44d35b80c5438eaf7

Observation dc978076-406b-4a88-a38c-7611f630936f · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.204744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.204744Z digest=sha256:6f842768b99bcefb93141e570936e58e8a220a10e092aa6660e90740ebb0cb6f

Observation c6272da5-3766-4dc1-945d-07c723befce8 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.254756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.254756Z digest=sha256:4395ca986f2e8a86e08bb358b321a6b12176d86ec8b92c91a7cc172f07964254

Observation e4eb02cc-443c-4da7-b7fa-71f0cf251e7c · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.304758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.304758Z digest=sha256:cf96670f8195f78f4ca76b23a39dc78c9550dafc042f4f4b05e482103fa8f665

Observation bc5b2836-3658-4c3a-b802-597f23358bd8 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.344738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.344738Z digest=sha256:5ef07ebe9d346f25fd65ead5ddfd4305e82d4318a6f2dbca4a253afcfe89d742

Observation 5d36d19d-ef13-47da-98ef-927b1cfa120d · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.387436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.387436Z digest=sha256:cc81ca5fe4952f00ca31277c3a2a26c0192d9a58542e53fc21b2430d5138e971

Observation 7bac1670-2648-40f0-81fa-0db4ab0f267d · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 86

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.434751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.434751Z digest=sha256:a554f0eb8cc4319fe416f5984070785d22b5f0b5c114a4389a74a55de92fcc98

Observation ce9fbc1a-82b7-4a7d-aec6-f51c4554a3e1 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.468465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.468465Z digest=sha256:20d18678dc648192d0d324a7b874e5caf78eb234ab01e1e44dd4caa0219d8b9f

Observation 6485e3ee-cfed-4760-babf-374574cadc3a · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.544630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.544630Z digest=sha256:33087e5d0677cb6a03d72f4cfe29f0175dfa21bbe09dcf9c485c81b00c75e327

Observation efae1b40-99c6-4c9a-8165-7d077894f579 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:41.634750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:41.634750Z digest=sha256:0ca6f667eef71a630359e42a5de7b89b1c210813f5addc33f88b4bc1a62d7b6c

Observation 9704c27a-1d5a-45c1-845b-1ed6a9b1bc37 · outbound

This paper cites Huilgol, A second order fluid of the differential type, International Journal of Non-Linear Mechanics3, 471 (1968).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Huilgol, A second order fluid of the differential type, International Journal of Non-Linear Mechanics3, 471 (1968)

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:24:48.624750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 731f83cb-4dd2-4a75-b583-5bb0ef1673bb · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 91

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:24:48.484743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 38b2d5df-837d-49e0-ab22-70b279aea6c0 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 92

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:24:48.305345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation b8ec0b1e-2f96-4fb1-9b6d-d771b35d35e1 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 93

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:24:48.165270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 691e2554-7325-46e6-9175-4fa0ca772bbc · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 94

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:24:48.117426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T04:24:41.984410Z digest=sha256:f317938e069841d7da989d769198b7fdffdede131355ce840febb9c7434c3a69

Observation 34e7e178-a611-4c57-97b2-c66cef77ff4d · outbound

This paper cites Leith, Atmospheric predictability and two-dimensional turbulence, Journal of Atmospheric Sciences28, 145 (1971).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Leith, Atmospheric predictability and two-dimensional turbulence, Journal of Atmospheric Sciences28, 145 (1971)

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:24:48.044752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation d558452e-23b3-4f72-952a-49795b8a1dbc · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 96

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:24:47.854751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T04:24:42.054753Z digest=sha256:2a74d9971e2251a6501d6babc9830d95d4fb3967879d7491fa0d49a8c49829d7

Observation 93883c15-354e-4ed9-949b-4cb55a4a4a6f · outbound

This paper cites Wick, The evaluation of the collision matrix, Physical Review 80, 268 (1950).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Wick, The evaluation of the collision matrix, Physical Review 80, 268 (1950)

Reference 97

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:24:47.694790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 0c0e6760-d11d-4347-acc4-7a89ab5c0350 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 98

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:24:47.544755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T04:24:42.143773Z digest=sha256:760a5a438fd09abe9b8c77a46d584712a7b0e3d3db829e1422c042e1cc3bf80d

Observation 42921605-dd14-4069-952d-04aafaff76b8 · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 99

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:24:47.394752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 8bac65c7-ff87-43d2-ae13-fff0fb51bd1f · outbound

This paper cites an unresolved cited work.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Unresolved cited work

Reference 100

Resolution
unresolved
raw_fallback, observed 2026-08-10T04:24:47.264756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T04:24:42.233901Z digest=sha256:1622a2321865fc7c97d09430b48b889a336e0554a53d99384452f02e8d91055a

Observation b2bbeb88-142c-4a7d-b359-6827d8cf4c81 · outbound

This paper cites Tennekes, Eulerian and lagrangian time microscales in isotropic turbulence, Journal of Fluid Mechanics67, 561 (1975).

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Tennekes, Eulerian and lagrangian time microscales in isotropic turbulence, Journal of Fluid Mechanics67, 561 (1975)

Reference 101

Resolution
unresolved
no resolver link, observed 2026-08-10T04:24:42.294748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T04:24:42.294748Z digest=sha256:b5c3ad4cf94935587f506875e7e311966e6d6d208d823c65edf32d479226d397

Observation 0eac00ff-afa2-4039-9412-1121275e9409 · outbound

This paper cites Boffetta and R.

A Symplectic Theory of Turbulence Closure: Hidden Reservoir Dynamics, Endogenous Stochastic Transport, and Kraichnan Dual Cascades Boffetta and R

Reference 102

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T04:24:47.024318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T04:24:42.344756Z digest=sha256:02a8e79e79e1dc2579ebc3a6ecc8bf582f7784b7173efe9331752fd072a664fb

Pith citing papers

No inbound Pith citation observations are available.