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Paper Citation Record · LEDGER

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions

As of 7 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2506.06947.

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

pith.paper-citation-record.v1
2506.06947 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:01:42.245250Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T12:53:43.309603Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

23 of 23 outbound references displayed

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  • verified fuzzy8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f6253d49-c1dd-4626-abe6-96fc30580f79 · outbound

This paper cites Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Existence and uniqueness by Kraichnan noise for 2D Euler equations with unbounded vorticity

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 167fa4ad-5d3a-43f8-a821-cf7faa00a638 · outbound

This paper cites Large deviations for fast transport stochastic RDEs with applica- tions to the exit problem.The Annals of Applied Probability, 29(4):1993–2032,.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Large deviations for fast transport stochastic RDEs with applica- tions to the exit problem.The Annals of Applied Probability, 29(4):1993–2032,

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 40bb8003-a6a8-41cc-95d5-4a9aa3e5fff5 · outbound

This paper cites an unresolved cited work.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2150e6cb-bdbf-46bc-9503-1bc844b6e547 · outbound

This paper cites On the zero-noise limit for SDE’s singular at the initial time.arXiv preprint arXiv:2503.22905,.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions On the zero-noise limit for SDE’s singular at the initial time.arXiv preprint arXiv:2503.22905,

Reference 20

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 6a0bac57-5b29-4e7c-a5c1-3c47df364abf · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I

Reference 1981

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unresolved
no resolver link, observed 2026-08-07T06:01:42.240139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.240139Z digest=sha256:c049add8bf5a73fbe1441de9a547680833087674e269618f50f1501f89f9d01c

Observation 17bd23ed-f858-4ff0-9e71-8e6b6ab9eb38 · outbound

This paper cites Zero noise limit for multidimensional SDEs driven by a pointy gradient.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Zero noise limit for multidimensional SDEs driven by a pointy gradient

Reference 1989

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verified exact
local_arxiv, observed 2026-08-07T06:01:42.499963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 675f7e2e-7b5e-41f3-96f3-68975a282e08 · outbound

This paper cites Springer, Heidelberg,.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Springer, Heidelberg,

Reference 1995

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verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.670235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:01:42.195433Z digest=sha256:a3e1bc58aad4ceeb3ecfb62da557567463cf5fa01f242fa9dbb95937f6e64595

Observation 4bdd6014-2f30-4f25-88fc-524c76c382ea · outbound

This paper cites Weak well-posedness by transport noise for a class of 2D fluid dynamics equations.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Weak well-posedness by transport noise for a class of 2D fluid dynamics equations

Reference 1996

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2290af0f-8877-4efd-8569-6210da0f8d36 · outbound

This paper cites Strong Uniqueness by Kraichnan Transport Noise for the 2D Boussinesq Equations with Zero Viscosity.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Strong Uniqueness by Kraichnan Transport Noise for the 2D Boussinesq Equations with Zero Viscosity

Reference 1998

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verified exact
local_arxiv, observed 2026-08-07T06:01:42.424187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 9d0772f7-5bd0-41f3-8774-644739dd9981 · outbound

This paper cites Anomalous Regularization in Kraichnan's Passive Scalar Model.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Anomalous Regularization in Kraichnan's Passive Scalar Model

Reference 2002

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unresolved
no resolver link, observed 2026-08-07T06:01:42.209057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.209057Z digest=sha256:eaa1ab2e0078f76290be846fa15a1c5c9a0ee0d4515fbf3f31f3a7fe3e8f21a5

Observation 5e45ad77-4f1e-4d6e-8879-070bba69f907 · outbound

This paper cites Small random perturbations of Peano phenomena.Stochastics, 6(3- 4):279–292, 1981/82.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Small random perturbations of Peano phenomena.Stochastics, 6(3- 4):279–292, 1981/82

Reference 2004

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verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.737652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2a18d278-d62d-419e-8edd-7916f25e1fbe · outbound

This paper cites On some recent results concerning non-uniqueness for the transport equation.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions On some recent results concerning non-uniqueness for the transport equation

Reference 2007

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ffc8eabd-b67f-4688-9bca-6ee10d2932f2 · outbound

This paper cites Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity

Reference 2009

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Unavailable: canonical work link unavailable.

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Observation 701558e8-471f-4fe7-af70-ac18dd51d730 · outbound

This paper cites [Ver81] Alexander Ju Veretennikov.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions [Ver81] Alexander Ju Veretennikov

Reference 2010

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation ebe181b8-ae1d-4145-8fd5-621c0914d165 · outbound

This paper cites [Saint-Flour Probability Summer School].

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions [Saint-Flour Probability Summer School]

Reference 2011

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.655017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation a20c0941-cbad-4d75-b082-c33e42b2bac3 · outbound

This paper cites Soluble models of turbulent advection.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Soluble models of turbulent advection

Reference 2012

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local_arxiv, observed 2026-08-07T06:01:42.477682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 256b6874-c9b3-4062-8b8e-f2584a4f73a5 · outbound

This paper cites A convex integration scheme for the continuity equation past the Sobolev embedding threshold.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions A convex integration scheme for the continuity equation past the Sobolev embedding threshold

Reference 2013

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8bf32676-7c9f-4603-916c-0f0e5c7342be · outbound

This paper cites Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces.The Annals of Probability, 41(3B):1938–1977,.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces.The Annals of Probability, 41(3B):1938–1977,

Reference 2014

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:01:42.163380Z digest=sha256:af9d04b04e4988bd34ebc6a603a45e6fd5c68489414ba1f7d126986d1ecafd8a

Observation 01bb6ddd-a634-4f12-8748-965973814209 · outbound

This paper cites Regularization by rough Kraichnan noise for the generalised SQG equations.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Regularization by rough Kraichnan noise for the generalised SQG equations

Reference 2017

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:01:42.153070Z digest=sha256:51756c9e9ab4c22af9721d68e64db6ef422ad5a94285171fb5db033db9f3d3c2

Observation 24276267-a22e-4080-8345-b026754269d2 · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II

Reference 2018

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no resolver link, observed 2026-08-07T06:01:42.245250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.245250Z digest=sha256:717220c1be60b068ff4ab7e73bc7ea55f2bb8bb7a930893593c565e03491963c

Observation 9c2f7254-0ab3-4cda-980d-bf62fd5c4fb8 · outbound

This paper cites [AF09] Stefano Attanasio and Franco Flandoli.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions [AF09] Stefano Attanasio and Franco Flandoli

Reference 2019

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T06:01:42.753062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:01:42.132107Z digest=sha256:2f42dc65c25748a48399f3826c733b841ba3ab9a6fa98f5d6014979ffe0a3377

Observation 6a484338-dedf-45d6-877f-e3de492707c4 · outbound

This paper cites Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field

Reference 2021

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no resolver link, observed 2026-08-07T06:01:42.147950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:01:42.147950Z digest=sha256:ffb62647c687dee57598200c5048f610c837b37c891ac05768c3db1c2953dc4f

Observation d55e0c2b-843a-473c-8bdf-21266c337104 · outbound

This paper cites Anomalous Regularization in Kazantsev-Kraichnan Model.

Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions Anomalous Regularization in Kazantsev-Kraichnan Model

Reference 2024

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:01:42.158165Z digest=sha256:c271c1b41b1a30285bcdfee284db77ff54722d00c3bac9e45c4c15474c3359e7

Pith citing papers

Observation 1071d3dc-8e91-4415-ae24-2358c699e66f · inbound

Failure of the Weak Sard property without Anomalous Dissipation cites this paper.

Failure of the Weak Sard property without Anomalous Dissipation Zero-noise selection and Large Deviations in $L^\infty_t L^p_x$ for the stochastic transport equation beyond DiPerna-Lions

Reference 28

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unresolved
no resolver link, observed 2026-07-30T12:53:43.309603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-30T12:53:43.309603Z digest=sha256:a1f2dff1f76e1a9438d1dbc43fcbe2c74d40a82e25c3d20a1164bfba36cf5000