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Paper Citation Record · LEDGER

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations

As of 7 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2606.07096.

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2606.07096 v2

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measured 60 of 60 reference resolution

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measured 60 of 60 standing notices

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

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60 of 60 outbound references displayed

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Outbound references

Observation 1cfaa9ba-260a-4a87-9995-74f9ca1add2b · outbound

This paper cites Transport equation and Cauchy problem forBVvector fields.Invent.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Transport equation and Cauchy problem forBVvector fields.Invent

Reference 1

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Observation 0ade26fa-db74-4e00-9f5e-7e8f007a9274 · outbound

This paper cites Uniqueness of signed measures solving the continuity equation for Osgood vector fields.Atti Accad.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Uniqueness of signed measures solving the continuity equation for Osgood vector fields.Atti Accad

Reference 2

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source=pdf_text observed=2026-08-02T12:21:50.641178Z digest=sha256:4f3271a382c9db5b8a7bd52f8cd98594c90ccb2dc93f181526b9e8558b2db029

Observation 7bd0adee-a404-40b0-856c-d212be7ac3f8 · outbound

This paper cites Cambridge University Press, Cambridge, second edition, 2009.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Cambridge University Press, Cambridge, second edition, 2009

Reference 3

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Observation 0431d421-f542-4ff2-a852-7668f8d7ad0e · outbound

This paper cites Anomalous diffusion by fractal homogenization.Ann.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Anomalous diffusion by fractal homogenization.Ann

Reference 4

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source=pdf_text observed=2026-08-02T12:21:50.809678Z digest=sha256:1c30f2acdd072e4d79f1d3f80e8d91189fb7dc7d4b118d99c383464560a9793b

Observation 7d640fb4-981d-4085-9ed3-38e78aa75d6b · outbound

This paper cites Zero-noise solutions of linear transport equations without uniqueness: an example.C.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Zero-noise solutions of linear transport equations without uniqueness: an example.C

Reference 5

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source=pdf_text observed=2026-08-02T12:21:50.887887Z digest=sha256:4bb5f7199b7fb6715b123a9f103c9c57e775eec8a1875b1c02ac30d1884cbdeb

Observation 76d3024f-6370-4391-85c8-95794d18bda7 · outbound

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

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Small random perturbations of Peano phenomena.Stochastics, 6(3-4):279–292, 1981/82

Reference 6

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source=pdf_text observed=2026-08-02T12:21:50.965092Z digest=sha256:671aae199e36133b7b356207083184c5af176428b3f60c8d3b575431897d8f9a

Observation ec861131-8b2b-46f6-bb54-da585f73ea66 · outbound

This paper cites Regularity thresholds for anomalous dissipation and related phenomena in passive scalars.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Regularity thresholds for anomalous dissipation and related phenomena in passive scalars

Reference 7

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source=pdf_text observed=2026-08-02T12:21:51.083678Z digest=sha256:d9f8a03b746b09d339622ddcbcfffd4b6c5c0c1f12423f42668fcc9b7abfb574

Observation d9293b94-a7bd-4b4c-95f6-218fa304b5c3 · outbound

This paper cites Springer, Heidelberg, 2011.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Springer, Heidelberg, 2011

Reference 8

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source=pdf_text observed=2026-08-02T12:21:51.237160Z digest=sha256:15d62f2941da284796d725f9fc2fd02c1422f819826ba495896ba4f3165dacaa

Observation 8cbe427c-165d-4655-ad90-ae5c240f9c33 · outbound

This paper cites Vanishing viscosity solutions of nonlinear hyperbolic systems.Ann.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Vanishing viscosity solutions of nonlinear hyperbolic systems.Ann

Reference 9

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source=pdf_text observed=2026-08-02T12:21:51.375634Z digest=sha256:15772e6951311e2c31038f94072a5a22ef4f7c754e76d1d9802733b7bd9e06ff

Observation 31e08e2f-f686-4616-a357-babd1820b150 · outbound

This paper cites On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity.J.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations On the advection-diffusion equation with rough coefficients: weak solutions and vanishing viscosity.J

Reference 10

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source=pdf_text observed=2026-08-02T12:21:51.428400Z digest=sha256:08423da9b35bc346f67ed9ac223ded93d5e4707f414fd8ef3d43d1dc10a649c8

Observation c5c6baa6-08a0-4b42-b38d-5d26349453f3 · outbound

This paper cites Anomalous dissipation and Euler flows.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Anomalous dissipation and Euler flows

Reference 11

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source=pdf_text observed=2026-08-02T12:21:51.592922Z digest=sha256:b34e49b5d6af18a6299cb182c33ab9e65c51b4e015e1e713a235b428e68ef8ea

Observation 33f7d7ec-2b02-482f-9805-9c7ed348b35a · outbound

This paper cites Strong rate of convergence of the Euler scheme for SDEs with irregular drift driven by Lévy noise.Ann.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Strong rate of convergence of the Euler scheme for SDEs with irregular drift driven by Lévy noise.Ann

Reference 12

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source=pdf_text observed=2026-08-02T12:21:51.748711Z digest=sha256:c0f1abee3f9dd786c454588a2e21848b40d7b7a0ffbe24dbad27d71c40206d80

Observation f4d71d9a-de6d-4e48-a708-0ca4e220948f · outbound

This paper cites Averaging along irregular curves and regularisation of ODEs.Stochastic Process.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Averaging along irregular curves and regularisation of ODEs.Stochastic Process

Reference 13

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source=pdf_text observed=2026-08-02T12:21:51.874076Z digest=sha256:29e6fe9e5bfce1a4f833f9531d47d0ffc681d796923d5ff6fb218461d1aedee3

Observation 13ffb5ac-b4f3-4a83-9ab8-4d108f39a0ec · outbound

This paper cites Schauder estimates for drifted fractional operators in the supercritical case.J.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Schauder estimates for drifted fractional operators in the supercritical case.J

Reference 14

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source=pdf_text observed=2026-08-02T12:21:52.050548Z digest=sha256:9334c0411437a19f9fef43f1a3e59343ce003caad1e5873a98821aef9520ee44

Observation d8d89d24-6c9d-4e1c-80b1-033d8d4f15b5 · outbound

This paper cites Stochastic flows for Lévy processes with Hölder drifts.Rev.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Stochastic flows for Lévy processes with Hölder drifts.Rev

Reference 15

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source=pdf_text observed=2026-08-02T12:21:52.159537Z digest=sha256:065f0f30efe8fb59bd686cfd48bd6a689321a1e113bfdfa994488953997ed19d

Observation bd4cd017-4340-4b8e-ae00-cd9bc3489c5f · outbound

This paper cites Smooth approximation is not a selection principle for the transport equation with rough vector field.Calc.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Smooth approximation is not a selection principle for the transport equation with rough vector field.Calc

Reference 16

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source=pdf_text observed=2026-08-02T12:21:52.330037Z digest=sha256:bcf8d20ee1f42a9547a46a3b28f0c29db2ce645c26b8dd8616f22f70ca2d3bae

Observation 4be76293-83d8-49be-b600-f78720bbbb6b · outbound

This paper cites On some typicality and density results for nonsmooth vector fields and the associated ODE and continuity equation.J.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations On some typicality and density results for nonsmooth vector fields and the associated ODE and continuity equation.J

Reference 17

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source=pdf_text observed=2026-08-02T12:21:52.545245Z digest=sha256:50851145dc9261f24615e512da992e4e6b3954b24ec6eb98c72fa9877e6f3625

Observation 56f42dbd-baa1-4a5b-ac3f-e0aa2d4a45e8 · outbound

This paper cites Anomalous dissipation and lack of selection in the Obukhov- Corrsin theory of scalar turbulence.Ann.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Anomalous dissipation and lack of selection in the Obukhov- Corrsin theory of scalar turbulence.Ann

Reference 18

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source=pdf_text observed=2026-08-02T12:21:52.667504Z digest=sha256:a233caa6b5650a408f53ef158bc8ff6ab004a594ed3b53b573bd29ebce0be6f9

Observation 706e2010-5c5d-4748-9325-db5153b00324 · outbound

This paper cites Crandall, Hitoshi Ishii, and Pierre-Louis Lions.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Crandall, Hitoshi Ishii, and Pierre-Louis Lions

Reference 19

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source=pdf_text observed=2026-08-02T12:21:52.742661Z digest=sha256:9a06e2b384bbc3e5b3695967d73cd8d104db862d3aa05470f8c8edb7456187cc

Observation f8deae0c-2763-4836-8971-130ba525b23a · outbound

This paper cites Smoothing does not give a selection principle for transport equations with bounded autonomous fields.Ann.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Smoothing does not give a selection principle for transport equations with bounded autonomous fields.Ann

Reference 20

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source=pdf_text observed=2026-08-02T12:21:52.810830Z digest=sha256:8f700607bb7449b0e349aaf4bc806a6b904e4b95c63bc82c75ac4f7e31c38a50

Observation 857a35e6-d018-49de-8474-1e81f880528d · outbound

This paper cites The transition point in the zero noise limit for a 1D Peano example.Discrete Contin.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations The transition point in the zero noise limit for a 1D Peano example.Discrete Contin

Reference 21

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source=pdf_text observed=2026-08-02T12:21:52.880734Z digest=sha256:e49314866d0220a06410758ae77458016c6e6f4c74045915aedf08617dfc9e0c

Observation ab310dbf-22fe-4cb4-9a5d-c492f22c28b6 · outbound

This paper cites Noise prevents collapse of Vlasov-Poisson point charges.Comm.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Noise prevents collapse of Vlasov-Poisson point charges.Comm

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source=pdf_text observed=2026-08-02T12:21:53.018945Z digest=sha256:04db3fcef6cba938b301744453d7fceca3a572dfdc6a47a7c3ff022a0b93ba24

Observation 9b6fee63-9c74-4858-b9cb-02309b442a4b · outbound

This paper cites Zero Noise Limit for Multidimensional SDEs Driven by a Pointy Gradient.J.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Zero Noise Limit for Multidimensional SDEs Driven by a Pointy Gradient.J

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Observation 8513268d-93a1-4732-9a54-5641aa041085 · outbound

This paper cites Non unicité des solutions bornées pour un champ de vecteurs BV en dehors d’un hyperplan.C.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Non unicité des solutions bornées pour un champ de vecteurs BV en dehors d’un hyperplan.C

Reference 24

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Observation 30d782b9-0a39-4b92-ba61-e65b64a5aa58 · outbound

This paper cites DiPerna and Pierre-Louis Lions.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations DiPerna and Pierre-Louis Lions

Reference 25

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Observation 31bf21b4-4ddb-4462-8176-8f85496e1b1a · outbound

This paper cites A stochastic selection principle in case of fattening for curvature flow.Calc.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations A stochastic selection principle in case of fattening for curvature flow.Calc

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Observation 01da6fe7-fb5d-4b83-a1bb-c6b49af502a5 · outbound

This paper cites Drivas, Tarek M.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Drivas, Tarek M

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source=pdf_text observed=2026-08-02T12:21:53.749183Z digest=sha256:423dd54dd5c021b17103bc8638c009cf65d4b668320bf267108fd5e7d84ed2d7

Observation 4a0b898a-c135-4ae8-a4b1-485f0b839152 · outbound

This paper cites Drivas and Gregory L.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Drivas and Gregory L

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source=pdf_text observed=2026-08-02T12:21:53.915429Z digest=sha256:d9eaea834a8ff402280a5bcbfe58b665af49b41e261bc7671805641323253209

Observation 7c22fc2a-08ff-4cf5-becf-3b78c7e83d2d · outbound

This paper cites Drivas and Alexei A.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Drivas and Alexei A

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Observation 95f0eca8-1dfd-4d8a-847c-461f9f522703 · outbound

This paper cites Elgindi and Kyle Liss.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Elgindi and Kyle Liss

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source=pdf_text observed=2026-08-02T12:21:54.239313Z digest=sha256:045b6f3b490923419d300c4cfcfc65dad03582ca56b2c2b708c995c94129ca70

Observation 6027e0fe-21ff-4690-a8c6-ac1590e55beb · outbound

This paper cites Springer, Heidelberg, 2011.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Springer, Heidelberg, 2011

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source=pdf_text observed=2026-08-02T12:21:54.388022Z digest=sha256:fc928b91b523967100554f1d2073039d573e17ea8c1ef735e2769959d113c7dd

Observation a6a2a97d-635e-43ad-a1ef-7bf4fd590c45 · outbound

This paper cites Almost-everywhere uniqueness of Lagrangian trajectories for 3D Navier-Stokes revisited.J.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Almost-everywhere uniqueness of Lagrangian trajectories for 3D Navier-Stokes revisited.J

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source=pdf_text observed=2026-08-02T12:21:54.557705Z digest=sha256:27f9638738e765dbd423d05902cade1d7215d1e216fe8bcdd2ffbc70e319cdea

Observation ff0ad43d-e807-4dbf-9a6f-1b83fd9caf5a · outbound

This paper cites Solution theory of fractional SDEs in complete subcritical regimes.Forum Math.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Solution theory of fractional SDEs in complete subcritical regimes.Forum Math

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Observation 0b5e5e14-7b77-48fe-95ed-e0b1dc9bfae6 · outbound

This paper cites Zero noise limit for singular ODE regularized by fractional noise.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Zero noise limit for singular ODE regularized by fractional noise

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Observation d084aa9f-f04b-4299-b913-8be01357876f · outbound

This paper cites Regularisation by regular noise.Stoch.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Regularisation by regular noise.Stoch

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source=pdf_text observed=2026-08-02T12:21:54.955306Z digest=sha256:9dbbae553e4bfd2235eee84f496f447c394daff222998b881411cbb4a1e86151

Observation 14eb4cfc-a628-44ac-b5ce-9029dfca77f8 · outbound

This paper cites A singular large deviations phenomenon.Ann.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations A singular large deviations phenomenon.Ann

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source=pdf_text observed=2026-08-02T12:21:55.159245Z digest=sha256:99950b3cfa74946fa77aa1f33a0e12a3a08eb0600c5ff8ea9b72f5274169fcd2

Observation ce3e5082-256b-43bf-beee-6a55aaf366ec · outbound

This paper cites Zero-noise dynamics after collapse for three point vortices.Phys.

Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Zero-noise dynamics after collapse for three point vortices.Phys

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Observation e4c6746f-8c5d-4386-94e0-b6241213b631 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations A universal total anomalous dissipator

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Observation f61973ce-8bd3-4b32-9133-d83bfe57e11c · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Sharp pathwise nonuniqueness for additive SDEs

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Observation f5a93264-f528-4da2-a959-55a2374263d4 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Unresolved cited work

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source=pdf_text observed=2026-08-02T12:21:55.723041Z digest=sha256:098bcb4a1a13a855dd35f16031091575c1b43b4530bdb4730d08e23050eb2071

Observation 29b11234-7743-46f4-9ec7-3f94d558f955 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Anomalous dissipation via spontaneous stochasticity with a two- dimensional autonomous velocity field, 2024

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source=pdf_text observed=2026-08-02T12:21:55.804861Z digest=sha256:3049e51e2f45b2e42995fe09b2e1c739e619ca0cd2d84d41e338796fbe6fb835

Observation db00d085-5c47-4e00-bca0-8c886527da07 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Kulik and Andrey Yu

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source=pdf_text observed=2026-08-02T12:21:55.907662Z digest=sha256:31794dfb5133262949a6dbe74941c1a203dac74d39884eedfb5c95b752261357

Observation 38880e67-ae45-49ef-b325-aafbf6f88a23 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations A stochastic sewing lemma and applications.Electronic Journal of Probability, 25, 2020

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source=pdf_text observed=2026-08-02T12:21:56.067901Z digest=sha256:1a608ac423c2b7a99260c24aa9844de5e0ad851d469b02f9c4c5574c60e854f3

Observation cf00f2fe-f039-4170-a558-d1aa78ebcf7f · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Quantitative stability estimates for Fokker-Planck equations.J

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Observation bc9c2687-99e4-4542-b16d-bf75c3ee798b · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Transport equations and flows with one-sided Lipschitz velocity fields.Arch

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source=pdf_text observed=2026-08-02T12:21:56.294607Z digest=sha256:a94eff15fbbe5543a0581d2fcc9c69c962056d527b1f97b0c15758fa6cbf11b7

Observation 38feed59-adc4-4080-a31f-01971d58957a · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations On vanishing diffusivity selection for the advection equation.Ann

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source=pdf_text observed=2026-08-02T12:21:56.491822Z digest=sha256:247fdb390617bfc30ca567a5f5efa408258ee135c873d46ba2b3312bb678c9ba

Observation cf8d3fdb-8cd3-4391-86c9-7f3cba3157fe · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Regularization of differential equations by fractional noise.Stochastic Process

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Observation 279ee5d7-4160-41be-a9fb-8be55645c1a0 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Zur Theorie der Differentialgleichung˙y=f(x, y).Bull

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source=pdf_text observed=2026-08-02T12:21:56.755047Z digest=sha256:ac25b97f055be3b722a3415709c34bda29d415472107b2f2b877abee7807ffa8

Observation f8c12728-b8ac-4252-aa15-8025f8f79efc · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations On a selection problem for small noise perturbation in the multidimen- sional case.Stoch

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Observation c02a875d-5929-43a0-914e-bd26a8e04907 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations A remark on selection of solutions for the transport equation.J

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source=pdf_text observed=2026-08-02T12:21:57.017909Z digest=sha256:342c30b0a2d2640628555a3f20e11c73d82b232afb073c361c722f355130103c

Observation 6a66990b-cdad-4d22-a784-821771ac5821 · outbound

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Observation a0ebd39a-db49-474c-8cd4-5cbdf88c381d · outbound

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Observation 4bf220c9-1aca-4a05-8066-7ec120f0a577 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Pathwise uniqueness for singular SDEs driven by stable processes.Osaka J

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Observation e65e0e3f-a3eb-4f7e-a14f-6d92f1aa5f15 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Davie’s type uniqueness for a class of SDEs with jumps.Ann

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Observation 321d4f16-b6b4-4d96-aa88-91d24f116d10 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations On anomalous diffusion in the Kraichnan model and correlated-in-time variants.Arch

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Observation 35ee1d26-bfeb-4536-8202-d75bdbc28018 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Cambridge University Press, Cambridge, revised edition, 2013

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Observation 05c0d22e-3111-4783-be98-ce5be310b0bf · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Schilling, Paweł Sztonyk, and Jian Wang

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source=pdf_text observed=2026-08-02T12:21:58.031606Z digest=sha256:0397667fc872872017e54277186800ef327c2ba0250166a11b1c7be068f0db79

Observation edab47fb-0d58-4d57-ba8f-304f76f426a7 · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations SDEs with subcritical Lebesgue–Hölder drift and driven byα-stable processes

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Observation 35e9342c-96d4-4139-8a3a-d4e5c03feb5a · outbound

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source=pdf_text observed=2026-08-02T12:21:58.413406Z digest=sha256:cb9789a9c65caca94e7a3f937004196c323742866315c4885ecb86982df39c89

Observation 17693689-06cc-4faa-9ad6-fb8850f8ab0e · outbound

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Well-posedness and large deviation for degenerate SDEs with Sobolev coefficients.Rev

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