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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 10 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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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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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:e856caafad5f452a75f47d09c4895a6d103eb016a47ce2613247003dccb6de57

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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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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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=sha256:99561f00f81439cf279217b152f7ec5734ce9ed49298a592afc336acc4102a6f

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:dfe0764af81b7091d717ad72f1f53f3b0789d62066c010abc3ba1472ddb29c72

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=sha256:07cdb7e9dd1423ff31d9558bc891a67466abd1178e5b7d4df8af7b42c3725c4d

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=sha256:006ac77fff81b3c3f749787616dc04a16c8ebb85e721e8c3d63f37fdfa0b892a

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:e56a60a6cdd6b18694f9e201160d6ceb81d2e25fa9fc55a900f541872c2fd155

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:f8a75bfac3cf28f124ce016da52dd7cdb07f46b85b4118442f853c03ee8e21be

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:ab7b851a62c4eb99f75e1fa0e4b799c1cfbbc9b93a261305d0a2171b111de616

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:aac111c46fedcafbcba2047f1fe8f6de25011122503842b03012ba79a9f74a65

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=sha256:8d27273ed520cca1b44754d509132f820ce168430dea514b078479ac040324e5

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:a036bf224672b6feff441743b9a1080accd2bd9c1120080e5c61c48a11bf68a5

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:fadf822a73eb3e45030b7db5387b550f1be8f70d5e9ad4ff77cb09f8182a1e6d

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:f10314d3724ff562a99ccd38f9c8036cd51afbb76a4076c9d21752d930e4e877

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=sha256:00a1c130e6bd17df5e3c7951c653bd893609058d93ea4a5a3c48cfdd21dd2dda

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=sha256:9aaf47188a971578450e5947daffb1b993184f86156945367b205ed06970c413

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=sha256:78980ae5c80d6ccc874e87aa0b714f098596ebec08a195783da42028ffd2a908

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:ed0306b95bdd5f4bb87ad97f43a93064f0d266d96d76abd4d4221323a54cb15a

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

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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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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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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=sha256:347e55d15dab41e3e00d0a7a778acd0a5ca01a894d16d40414f6536eb66b6788

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=sha256:0524ba448cd8c79c19dc034ae1a42c445f25abb8a6c5218bbc131f5a3720699b

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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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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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=sha256:9f5d2cc69aa5e2f53debb879f4de24846e8b9a233ec8257b326164af7474fec1

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

This paper cites A universal total anomalous dissipator.

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

This paper cites Sharp pathwise nonuniqueness for additive SDEs.

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

This paper cites an unresolved cited work.

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

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

This paper cites Anomalous dissipation via spontaneous stochasticity with a two- dimensional autonomous velocity field, 2024.

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

This paper cites Kulik and Andrey Yu.

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=sha256:12fbac22a69d0e08c3ca5a4c64e846abdae6c06e662a72191900a63972c60800

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

This paper cites A stochastic sewing lemma and applications.Electronic Journal of Probability, 25, 2020.

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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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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source=pdf_text observed=2026-08-02T12:21:56.215907Z digest=sha256:c393e7b9a1e140dc3f1e93bae7673784b8f533c3db00da8c8fe98f070ae25e74

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=sha256:415c9bc287f0709e0e25ef8f348a2f0a1c5ee2843bdd6b2a00a4d429c2d688db

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:b40efdfe9e1f26f1930d0a1d0b24200825b8884bacd1a5b0a70ce0cac1047e1d

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:ba41cb8c0d3d9fafce5da286a5e84d93f61ddc53e55e203da9ea6237db0465d4

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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source=pdf_text observed=2026-08-02T12:21:56.897092Z digest=sha256:65e92f01f3947b6a95c96fa7914dacf204fee116abc2941f25f6f1ffb129ac86

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=sha256:4f26512c8b49cea9b25c2a4277a729f46d17c7673b1d99930ca2f81bd17d5504

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

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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations On the stochastic selection of integral curves of a rough vector field.Proceedings of the Edinburgh Mathematical Society, pages 1–19, 2026

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

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source=pdf_text observed=2026-08-02T12:21:57.296179Z digest=sha256:4f234e79daff1f202a92c7756f7880ac2d283d9706ea1f1e2940e0b35c5c615e

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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source=pdf_text observed=2026-08-02T12:21:57.426220Z digest=sha256:f42364f64a3e61152744ef5620091fb9225e20cdf154d648b33257ed333bde38

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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source=pdf_text observed=2026-08-02T12:21:57.675853Z digest=sha256:53eefd8c0bf12e86db0b770d0e1dab2da2891a7d164db0fc6394517053be78e9

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:e34baa1099bd525b541b637c60356fdf8ef27336cceb420856610c98b1b93fea

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

This paper cites SDEs with subcritical Lebesgue–Hölder drift and driven byα-stable processes.

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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Non-selection of Lagrangian trajectories in the zero-noise limit for a class of stochastic regularizations Zero noise limits using local times.Electron

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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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