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Paper Citation Record · LEDGER

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation

As of 12 August 2026, this Paper Citation Record lists 100 of 115 outbound references and 0 inbound Pith citation observations for arXiv:2412.14013.

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

pith.paper-citation-record.v1
2412.14013 v2

Coverage vector

measured 100 of 115 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:40:59.392532Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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 115 outbound references displayed

  • verified exact2
  • verified fuzzy56
  • unresolved42
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation 8bf1af63-1380-4f91-863e-e3bba0427eff · outbound

This paper cites Hopfinger, and Robert A.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Hopfinger, and Robert A

Reference 1

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source=pdf_text observed=2026-08-11T12:40:58.797336Z digest=sha256:bb68722e6fad5895df02bd079252bc05213e8ad34f0a866b98e8b79a560b1008

Observation 307c9a84-3423-4313-a0bd-d1bab0b84a9c · outbound

This paper cites Apolin´ ario, Geoffrey Beck, Laurent Chevillard, Isabelle Gallagher, and Ricardo Grande.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Apolin´ ario, Geoffrey Beck, Laurent Chevillard, Isabelle Gallagher, and Ricardo Grande

Reference 2

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source=pdf_text observed=2026-08-11T12:40:58.806472Z digest=sha256:c46fb29a69ea90613ba35fce5950fdda73f6464c84d1a9375e191e13b5b39481

Observation 6355cf79-3c70-4f18-8397-3d6615a61c6f · outbound

This paper cites Apolin´ ario, Laurent Chevillard, and Jean-Christophe Mourrat.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Apolin´ ario, Laurent Chevillard, and Jean-Christophe Mourrat

Reference 3

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source=pdf_text observed=2026-08-11T12:40:58.814112Z digest=sha256:3b0244ba5f9c471bd30149f64c5a9da4fd1a61d5b74ef834dfb0a54488501c57

Observation dc860452-61e8-400a-9527-e1e2287d6adc · outbound

This paper cites Reducibility of the quan- tum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Reducibility of the quan- tum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation

Reference 4

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source=pdf_text observed=2026-08-11T12:40:58.820126Z digest=sha256:e297274eba768ec821e0fb5496f4d3c155e96a3440555c207079501c8c7b0a2e

Observation 58c408e2-057c-48cc-a175-a15e5ec6dcb1 · outbound

This paper cites Growth of Sobolev norms for unbounded perturbations of the Schr¨ odinger equation on flat tori.J.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Growth of Sobolev norms for unbounded perturbations of the Schr¨ odinger equation on flat tori.J

Reference 5

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source=pdf_text observed=2026-08-11T12:40:58.826998Z digest=sha256:69fc18295411239688ce069844e27541ec63153221cea338f2c9e8dfb378c95c

Observation 87f1dc35-07ef-4d2c-9e98-574f5d218996 · outbound

This paper cites Banica and L.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Banica and L

Reference 6

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source=pdf_text observed=2026-08-11T12:40:58.837125Z digest=sha256:b957a35965eebbd54f015cfb2a70308325fa8673f0a2e330dfb740e1c71428aa

Observation f0adf4c4-8ba2-48ed-9f9e-504dc00e6cdd · outbound

This paper cites Multifractality and intermit- tency in the limit evolution of polygonal vortex filaments.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Multifractality and intermit- tency in the limit evolution of polygonal vortex filaments

Reference 7

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source=pdf_text observed=2026-08-11T12:40:58.845471Z digest=sha256:dcdb86dad4a369b69ce67e8b58e8f71eedcca4fbd623426b3cf3e43175e75ce3

Observation 24e53a8f-28d9-4a9a-933c-6c2cf55e0089 · outbound

This paper cites Blow-up for the 1D cubic NLS.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Blow-up for the 1D cubic NLS

Reference 8

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source=pdf_text observed=2026-08-11T12:40:58.852039Z digest=sha256:2ab06cdbfac29d4720c527ceaeb5da0c7b08e77bc688c5c581b7e7a303632bb5

Observation c6762c03-7574-44b0-9f5d-dbcdf88c3be8 · outbound

This paper cites Scattering for 1d cubic NLS and singular vortex dynamics.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Scattering for 1d cubic NLS and singular vortex dynamics

Reference 9

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source=pdf_text observed=2026-08-11T12:40:58.857520Z digest=sha256:a3406cea089516b9e18aa5fceb53e052283bf901340ac0ac0edd24653aff8fc8

Observation 755d2696-20af-48a5-8f65-3f9512577321 · outbound

This paper cites Stability of the self-similar dynamics of a vortex filament.Arch.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Stability of the self-similar dynamics of a vortex filament.Arch

Reference 10

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source=pdf_text observed=2026-08-11T12:40:58.862960Z digest=sha256:333fbdeeb8dcaea53001216a4a0782f7b031499637e10bd6a66849a520e0aeb8

Observation defe381c-571b-43f7-84eb-d9796b2e6ce1 · outbound

This paper cites The initial value problem for the binormal flow with rough data.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The initial value problem for the binormal flow with rough data

Reference 11

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source=pdf_text observed=2026-08-11T12:40:58.869490Z digest=sha256:f36a3d4add55a58089fa4bb200cd78e08d2d256d99ebc662c54c983b9123d8ee

Observation e1e38381-4bb8-4fd6-9942-5a832a38e725 · outbound

This paper cites Evolution of polygonal lines by the binormal flow.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Evolution of polygonal lines by the binormal flow

Reference 12

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source=pdf_text observed=2026-08-11T12:40:58.876162Z digest=sha256:96e4e2ce30c85fdd19d07074456e9d43b7330fbff84dfbf6b43111e6ac7734cd

Observation bfab464e-5530-4620-a854-6e038503e2e0 · outbound

This paper cites On the energy of critical solutions of the binormal flow.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the energy of critical solutions of the binormal flow

Reference 13

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source=pdf_text observed=2026-08-11T12:40:58.884539Z digest=sha256:bf29600909c8595230cbaf878d269a119e10770954db733ace1b4001554c9e18

Observation d98b1ead-138d-4093-8f95-254067ce522c · outbound

This paper cites Riemann’s non-differentiable function and the binormal curvature flow.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Riemann’s non-differentiable function and the binormal curvature flow

Reference 14

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source=pdf_text observed=2026-08-11T12:40:58.889152Z digest=sha256:f82f392712a2ebb70488b06f615438fbb126238abe55558ec8f6dd6fec86e1fd

Observation 7ca24cea-6947-4c09-83b1-723be72cd051 · outbound

This paper cites Unbounded growth of the energy density associated to the Schr¨ odinger map and the binormal flow.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unbounded growth of the energy density associated to the Schr¨ odinger map and the binormal flow

Reference 15

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source=pdf_text observed=2026-08-11T12:40:58.894841Z digest=sha256:cfe4591f3f00ca6b6deb317bee3f614866b6f68dfd2655695e96b60c1719d8c7

Observation 64cdada8-c7ec-4b9e-b2be-1cb4a5659f7a · outbound

This paper cites New conservation laws and energy cascade for 1d cubic NLS and the Schr¨ odinger map.Vietnam J.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation New conservation laws and energy cascade for 1d cubic NLS and the Schr¨ odinger map.Vietnam J

Reference 16

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source=pdf_text observed=2026-08-11T12:40:58.901556Z digest=sha256:36a722d334a36749d4ad9b4fbc31c01f18daed47b14ace556de638117669128f

Observation 03a04199-d709-4a6c-b943-9fc1e3bf4218 · outbound

This paper cites The Frisch-Parisi conjecture.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The Frisch-Parisi conjecture

Reference 17

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source=pdf_text observed=2026-08-11T12:40:58.908974Z digest=sha256:810aa83299191f9d3e1da1c87c4d9e4a53915190f0429cfaa38e43f6ab2b57ce

Observation 8334e73f-1019-458b-a0cb-f387233305d0 · outbound

This paper cites The Frisch-Parisi conjecture.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The Frisch-Parisi conjecture

Reference 18

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source=pdf_text observed=2026-08-11T12:40:58.914275Z digest=sha256:0339d8434a9e71dc4978b8bb759bf83bc23b526ad83b6fc5ee0390b1befc7e96

Observation fbbf5b85-5d40-48e5-9e59-51f93de9a91d · outbound

This paper cites Vortex filament solutions of the Navier-Stokes equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Vortex filament solutions of the Navier-Stokes equations

Reference 19

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source=pdf_text observed=2026-08-11T12:40:58.920270Z digest=sha256:c6db0191d62a6df3141b15dadc98150a21d7e33885327535d163d4abb9ac2eea

Observation 7aa557b8-07b2-47b6-84e1-d9224906e5b4 · outbound

This paper cites A mass transference principle and the Duffin-Schaeffer conjec- ture for Hausdorff measures.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation A mass transference principle and the Duffin-Schaeffer conjec- ture for Hausdorff measures

Reference 20

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source=pdf_text observed=2026-08-11T12:40:58.928808Z digest=sha256:aceb900d969c4dffa3f7365b6ca7fa0d94bfbfda813a4a377f39d80316db734f

Observation 66e3f0f9-d57f-4bb6-81d9-6cc3167a7d8e · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 21

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source=pdf_text observed=2026-08-11T12:40:58.934202Z digest=sha256:80a123e977ed89113967cafb13aefebf353387d25583a1c6e9393ace64828c3c

Observation ab2955b1-3759-46f7-b536-4244b36458f0 · outbound

This paper cites Quantum fractals in boxes.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Quantum fractals in boxes

Reference 22

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source=pdf_text observed=2026-08-11T12:40:58.939139Z digest=sha256:57dc77119def892bdf1152e567fb0bee2ea1f9714dd5ede81b4b91d229bbfdc6

Observation 95955862-f8b3-4406-b5a3-6dbaf99f82e2 · outbound

This paper cites Quantum carpets, carpets of light.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Quantum carpets, carpets of light

Reference 23

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source=pdf_text observed=2026-08-11T12:40:58.944819Z digest=sha256:e7383104b11baa13455ef498ba8192d6a89549a394c8bec3f8ee01834b11c647

Observation 72a0040d-f908-4c56-9de8-ff5860ac99e1 · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-11T12:40:58.950092Z digest=sha256:05a98b1496df2b8701072c18bff0eba88c3e6547c680136cdb6a385dfa101ecc

Observation 8bd5af36-72f4-48a3-bacf-543ffb83c720 · outbound

This paper cites Turbulent cascades in a truncation of the cubic Szego equation and related systems.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Turbulent cascades in a truncation of the cubic Szego equation and related systems

Reference 25

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source=pdf_text observed=2026-08-11T12:40:58.959816Z digest=sha256:425f32a3fb9ea05ff1dfd16410c9e30b9a4b32a645583cb1af460131b6481ad0

Observation 1cf76e7d-5592-45de-a02c-ebdf1c9e1bca · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-11T12:40:58.966563Z digest=sha256:717ae585f76d7c13b72bcc594c03fefb199bb4d77b049aa053ce6e4f3b6e65f5

Observation e5d6f405-eb9a-4088-b45e-27e56a09c06c · outbound

This paper cites Bona and Jean-Claude Saut.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Bona and Jean-Claude Saut

Reference 27

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source=pdf_text observed=2026-08-11T12:40:58.972421Z digest=sha256:385c37c31d225c452772e01196c1606549508a110fe122e104382341adc38fee

Observation a79da6f9-4c79-41a1-bdd2-c3f37538709a · outbound

This paper cites Intermittency of Riemann’s non-differentiable function through the fourth-order flatness.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Intermittency of Riemann’s non-differentiable function through the fourth-order flatness

Reference 28

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source=pdf_text observed=2026-08-11T12:40:58.977149Z digest=sha256:fc96295250e9853d350644241660036659b02bebbc48b287847891e9fa58dd1d

Observation c6fbb130-3575-4575-b437-3dced466831d · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 29

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source=pdf_text observed=2026-08-11T12:40:58.982201Z digest=sha256:27a4343b344d6c0283bb3770bac5db95221eb2debe5fa003d206794c1bf33469

Observation 44b02d10-5581-4c9a-937a-a5d86215b73c · outbound

This paper cites Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equa- tions.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Aspects of long time behaviour of solutions of nonlinear Hamiltonian evolution equa- tions

Reference 30

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source=pdf_text observed=2026-08-11T12:40:58.988053Z digest=sha256:d9b9ee92c856894def5a94cf302abd01344b5f60edb30657a68bfc9380c277d5

Observation 7ab781c3-c6fc-4dfa-9d89-927d32a8bb55 · outbound

This paper cites On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE

Reference 31

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source=pdf_text observed=2026-08-11T12:40:58.994067Z digest=sha256:a832137c627a514dca50d46bd8af88528bf57a5d9d0cd399dd14f56fbc93b83f

Observation a02afcc7-33e2-42ed-9eb5-e0045c842969 · outbound

This paper cites Growth of Sobolev norms in linear Schr¨ odinger equations with quasi-periodic potential.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Growth of Sobolev norms in linear Schr¨ odinger equations with quasi-periodic potential

Reference 32

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source=pdf_text observed=2026-08-11T12:40:59.003448Z digest=sha256:9c9972b07a7a9d5041a60de107f47a3b36a8b2d96cb279ad55c860e3f65e55ea

Observation 1cdcd7e4-9239-4bb3-abee-e9aa3d4f7fb5 · outbound

This paper cites On the one dimensional cubic NLS in a critical space.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the one dimensional cubic NLS in a critical space

Reference 33

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source=pdf_text observed=2026-08-11T12:40:59.009728Z digest=sha256:c74c253678bf4d17da2044b3bd9f7f9d8fbea6b84cb9b2a80ab95ae963b425d5

Observation 994282f1-f5a1-41b6-a1e3-ca1c18440c8c · outbound

This paper cites The pointwise behavior of Riemann’s function.J.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The pointwise behavior of Riemann’s function.J

Reference 34

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source=pdf_text observed=2026-08-11T12:40:59.016827Z digest=sha256:934a8949f0f62772b5103c97bc6511fd8af2dfac5002d4e09176da30d3f0e8e6

Observation 58508496-d817-497c-8c6b-a7250961185b · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 35

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source=pdf_text observed=2026-08-11T12:40:59.023094Z digest=sha256:7f05377d4d92f8917a5cfff02365ecf52fbb042cd7f836fec9f993aa781347b4

Observation e1eb8adb-6907-4f89-b900-b9e8fc3eebaf · outbound

This paper cites Structure of Green’s function of elliptic equations and helical vortex patches for 3d incompressible Euler equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Structure of Green’s function of elliptic equations and helical vortex patches for 3d incompressible Euler equations

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.196634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.030954Z digest=sha256:728601ccb125764522d0a128bd460c031d432c81f5302cdd5600a5db6491da3b

Observation fe8ba404-5fe4-4047-8bb7-fa0d85463155 · outbound

This paper cites Energy cascades for NLS on the torus.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Energy cascades for NLS on the torus

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.179408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.038500Z digest=sha256:866e395809a93d80af4befa974c7115737ce0c6adbc54885f3da9894e2d9a064

Observation 7d4056fc-fd4c-465d-8a96-73f68dc5e4e6 · outbound

This paper cites Universal dynamics for the defocusing logarithmic Schr¨ odinger equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Universal dynamics for the defocusing logarithmic Schr¨ odinger equation

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.158884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.043895Z digest=sha256:2ab10ffd176d74205a8f455335e63cc6f1adbc938d9abcb5caf48f7815b250cc

Observation 3cee5d2b-6fe3-40e7-a393-d93f974abdbc · outbound

This paper cites Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Norm-inflation with infinite loss of regularity for periodic NLS equations in negative Sobolev spaces

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.137981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.050229Z digest=sha256:491b43b93f1350e21bdcb42e32b51d5cddc23f83222a9e2fb9337d97737be24f

Observation de1ecbad-0fe4-491c-8bbf-b74045523e3d · outbound

This paper cites Weissler.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Weissler

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.118927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.056648Z digest=sha256:d087e2beb00314579c6053031a5b0713e6b3827bb4e3a6a2f78abbfcaa5ddfa2

Observation 6d7c910e-fc59-42a7-b06a-82b490ff55df · outbound

This paper cites Multifractal behavior of polynomial Fourier series.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Multifractal behavior of polynomial Fourier series

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.100538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.061621Z digest=sha256:bc1370dd80a3f94d940ea2d8ef3fde868fad556a86886ad17ffc99c67f267a9b

Observation 0b32277c-5ad6-4673-9ab6-7dfe198d7d97 · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:41:01.081729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.067469Z digest=sha256:de91faef7a923495d8d0c69370773f9ffc3eb65aa171504e6f42fab3f8f45513

Observation c195edb7-8bfd-47b8-b27e-3f42570ff9b1 · outbound

This paper cites Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.063684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.073053Z digest=sha256:5ccdafddf3bb528f27cb1a0cf8cb51ff55bd8eefaca0a0f9d611f7e14ed862cb

Observation c084bea8-8163-4400-9862-c43735443b16 · outbound

This paper cites Attractors for two-dimensional waves with homo- geneous Hamiltonians of degree 0.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Attractors for two-dimensional waves with homo- geneous Hamiltonians of degree 0

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.043658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.077863Z digest=sha256:33c6e7bc33a2a883eeb582b54a1522758c926bfe30f213d0097c592de5ad8814

Observation bf5d8190-e5f0-4238-adf2-1b3e87b72e93 · outbound

This paper cites Colliander, Markus Keel, Gigliola Staffilani, Hideo Takaoka, and Terence Tao.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Colliander, Markus Keel, Gigliola Staffilani, Hideo Takaoka, and Terence Tao

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:01.021163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.083312Z digest=sha256:b70aae939113286cb1bc3780d4b668f6fd6f30bfe0f2e9bc162ff1f91d29a69e

Observation 5b2ad945-3d23-42d9-8da0-bdbd103e57f3 · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:41:01.000984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.088754Z digest=sha256:ba911a619b5c5bda3c8d917e2684b049ad56bed3d5734d3234037af4f113e6b3

Observation 604f6a18-530e-43c2-81f7-135170edabc4 · outbound

This paper cites Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.982428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.094741Z digest=sha256:70f2909a17691d8e4b41f09c8e82890f3fe4b614c706325fe130b8806ea5e3b8

Observation 8d643a97-5cfc-4f6f-b718-24a57c0be040 · outbound

This paper cites Travelling helices and the vortex filament conjecture in the incompressible Euler equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Travelling helices and the vortex filament conjecture in the incompressible Euler equations

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.961135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.099594Z digest=sha256:fce3615f717d897a91bd2245ae7399df6c878213e4f7053bd146ca1507863003

Observation 64a86f10-c4c4-4de1-a3f9-190bac5beeb9 · outbound

This paper cites On the evolution of the vortex filament equation for regular M -polygons with nonzero torsion.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the evolution of the vortex filament equation for regular M -polygons with nonzero torsion

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.939028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.104924Z digest=sha256:7b9c60130a4e18934f0b7c93a9514972145fe83d7c0b92ff39fd9837faa89dce

Observation 4619870e-2782-4df6-bc84-834da25b07f0 · outbound

This paper cites Vortex filament equation for a regular polygon.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Vortex filament equation for a regular polygon

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.918391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.111027Z digest=sha256:2c11bc9d9e201b05094dbb2f7ae96c7df4818cd3fb2418eda51b49559fffecaa

Observation 615d0757-f5e8-451a-98a8-9222b99f0586 · outbound

This paper cites On the relationship between the one-corner problem and the M -corner problem for the vortex filament equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the relationship between the one-corner problem and the M -corner problem for the vortex filament equation

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.890095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.116626Z digest=sha256:50c063b3490c6d02f50b83485de0760df77d5915a667c85702c3bf91e59081bb

Observation 172f2061-3dac-4d6a-be82-70b6a4756f4f · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:41:00.866576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.124338Z digest=sha256:9d074e4913a7faa076cb52fa46d4722fad1130f32fb3aa8c9e360530ddd47877

Observation d025c381-a197-44b9-8135-f2039a97d98c · outbound

This paper cites Growth of solutions to NLS on irrational tori.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Growth of solutions to NLS on irrational tori

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.831899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.130224Z digest=sha256:a210461ff6a5a6af8677e480db750caf793b54cd4ad55f008465c959832499b8

Observation f958a37b-9180-453f-9abf-25c71e1c06ff · outbound

This paper cites Dynamics of helical vortex filaments in non viscous incompressible flows.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Dynamics of helical vortex filaments in non viscous incompressible flows

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-11T12:40:59.136459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:40:59.136459Z digest=sha256:ca0add612750fbb9128fde0ae6d4a0e108ea85cdd64dc50032efcd6a2d86fcee

Observation 823bd688-591d-4278-89c5-26b9b09f5f07 · outbound

This paper cites Duffin and Albert C.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Duffin and Albert C

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.810726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.142529Z digest=sha256:e950ca2e58308cd0e1177d5cf741f3d744883b7b7d4f838f3fe76245f66132b6

Observation 65c8fd09-a097-4c42-a851-4338800f51c5 · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:41:00.790387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.147018Z digest=sha256:7d380b242be6151124c0cd5f71b43e6824dd67c7afa78c6668b3378f9e0384b2

Observation d3cd7ce7-bd95-4f76-8c16-207ba98480ff · outbound

This paper cites On weakly turbulent solutions to the perturbed linear harmonic oscillator.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On weakly turbulent solutions to the perturbed linear harmonic oscillator

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.772806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.151370Z digest=sha256:35c725deea930d898745c450491de138c2e92032cd345b850b0de43f415cdf3d

Observation 1a55320d-7361-4f9b-a7f2-96da2a897c45 · outbound

This paper cites Meichle, Nicolas T.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Meichle, Nicolas T

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.755370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.156466Z digest=sha256:8b890e28cdbdfea5d5f7aaa64e14d629caea0657ebbbfd2ec9837966a39fdfef

Observation ab987faa-306f-40c6-82cb-299727c9a35f · outbound

This paper cites Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:40:59.630024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.161915Z digest=sha256:9a36af2142ea4659d0f91c569cf6833e4f5d40dcaab71f3c4acb572a37f02520

Observation 59e46735-40bf-4486-93ea-e2315507330a · outbound

This paper cites Transport of gaussian measures under the flow of one-dimensional fractional nonlinear schr¨ odinger equations.Comm.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Transport of gaussian measures under the flow of one-dimensional fractional nonlinear schr¨ odinger equations.Comm

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.728666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.167294Z digest=sha256:4d7d2006ebef4226b4994f1bc8e31f64c2b0f71ed4a8a4c48a6aee2cc0f410ce

Observation c1dd1fa0-8525-471e-9e3b-151cb51e1c70 · outbound

This paper cites Turbulence: The legacy of A.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Turbulence: The legacy of A

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.704744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.174584Z digest=sha256:f04c710bd1767b136f8933fce507671fe543e1b2604e8f5b3a8cbd9ceb44409b

Observation 1d9f6b82-cb52-4961-a363-84cc6cd9551f · outbound

This paper cites Vanishing viscosity limit for axisymmetric vortex rings.Invent.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Vanishing viscosity limit for axisymmetric vortex rings.Invent

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.681382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.180411Z digest=sha256:5df4326ffadd71e9a0f7500ac6692da06b0816305419a706e9fc9e7578b7f2ef

Observation f305e6e5-f319-4c99-8eb1-83cbfd46a9a7 · outbound

This paper cites Kurianski, and Gigliola Staffilani.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Kurianski, and Gigliola Staffilani

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.657723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.186902Z digest=sha256:920da88e9346c2a70094ec7be9ed5c3595fdb8a42d8117856e6f9e238487f2c4

Observation f2859179-7713-4023-beed-4e3aa4d7d5ce · outbound

This paper cites Effective integrable dynamics for a certain nonlinear wave equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Effective integrable dynamics for a certain nonlinear wave equation

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.640943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.192226Z digest=sha256:270db2a5ce5c808ff236749b003a6c4f127dec0319f8f2b417eb3584bd34d28c

Observation abc3891d-4ddb-46c6-9a88-5bb81cb19af1 · outbound

This paper cites Paris: Soci´ et´ e Math´ ematique de France (SMF), 2017.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Paris: Soci´ et´ e Math´ ematique de France (SMF), 2017

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.618244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.197445Z digest=sha256:8006c64fb6e3ed4260906b31f2a47559c113f7c09be04fd8b6ce1d657f478666

Observation c8c3d978-fc05-4b27-ae23-e86c8ad01a09 · outbound

This paper cites Turbulent cascades for a family of damped Szeg˝ o equations.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Turbulent cascades for a family of damped Szeg˝ o equations

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.592568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.205601Z digest=sha256:d648abdea26027ace2300c9c9aee2cd92f778d6d3508145b8e2d04fce8323a85

Observation 3f139971-5408-4e58-a5e3-c5c1fa1c29c1 · outbound

This paper cites The Calogero-Moser derivative nonlinear Schr¨ odinger equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The Calogero-Moser derivative nonlinear Schr¨ odinger equation

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.570219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.210365Z digest=sha256:68d2e454494d53cdaf22a5ec169d6682c26bd8978fc014b156230c0c75366239

Observation e66458fb-a171-4bf4-9414-1b4c7761d2dd · outbound

This paper cites A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation A two-soliton with transient turbulent regime for the cubic half-wave equation on the real line

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.548048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.216680Z digest=sha256:2cf8e7c27d466f0e839665d7700a56bb85e745586b7cfb9c2232e64e02dc79c4

Observation 2dea1e38-8e1f-43e4-b2ce-43ce13d5c5d0 · outbound

This paper cites Ginibre and G.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Ginibre and G

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.530952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.221539Z digest=sha256:20e0e95c9929b41fc313f7d7f16ad8f6a082f1b4dff16ec16b3f759148aefa1a

Observation 6bfefdc1-ddc6-4b44-b1f9-9e03bb899dd7 · outbound

This paper cites Sobolev norms explosion for the cubic NLS on irrational tori.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Sobolev norms explosion for the cubic NLS on irrational tori

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.509937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.226310Z digest=sha256:8ccb7a29e3c610db822964616dda3b93394f2c31106d529391feebd635c925f8

Observation ad63dba4-24ad-48ab-b6ea-0a40f902934c · outbound

This paper cites Beating effects in cubic Schr¨ odinger systems and growth of Sobolev norms.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Beating effects in cubic Schr¨ odinger systems and growth of Sobolev norms

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.485744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.230450Z digest=sha256:901560d5eddf5efe2f4c4d4453812cc8b5c95692bfae14d3d1cd03a180c46c9f

Observation 35e1a2e8-d516-428a-b407-c5ce651ccaf5 · outbound

This paper cites Grinstein and Carl R.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Grinstein and Carl R

Reference 72

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.467974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.235040Z digest=sha256:be1241e355274c45604c36de5413ab0d8020b74d278ada21147bbeb8bc96e8ca

Observation b1e4f44b-b3fe-4a15-a5bb-10a010217571 · outbound

This paper cites Bi- and trilinear Schr¨ odinger estimates in one space dimension with applications to cubic NLS and DNLS.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Bi- and trilinear Schr¨ odinger estimates in one space dimension with applications to cubic NLS and DNLS

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.444294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.239579Z digest=sha256:2f1a3990d7587c0ab8341ee819d52d3bbceb4fb36c1ba636cd2d8e5a7a6cb7c5

Observation 282d5b35-a016-4d6a-acf3-f7e624cb8c9c · outbound

This paper cites Guardia and Vadim Kaloshin.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Guardia and Vadim Kaloshin

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.424442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.243745Z digest=sha256:fa32683369705cb2b928f0b6869c7ffe4c0984cf9df52e8f7d8fbe977d98fd1e

Observation 4d384c0e-4ffe-461c-a485-e31162532699 · outbound

This paper cites Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2d cubic NLS equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Strong nonlinear instability and growth of Sobolev norms near quasiperiodic finite gap tori for the 2d cubic NLS equation

Reference 75

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.408263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.250334Z digest=sha256:64309217bba6e2a1d29b49812b586d1688d0275d4edded0ff30b327aee2728a5

Observation 3cd929c0-1082-4a27-8ac5-6db13696f5d4 · outbound

This paper cites A new class of critical solutions for 1d cubic NLS.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation A new class of critical solutions for 1d cubic NLS

Reference 76

Resolution
verified exact
raw_fallback, observed 2026-08-11T12:40:59.603134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.255537Z digest=sha256:9ba819782882c199131c49998b08134939e5e884105da663226a5e78b0862915

Observation bc9073ac-34a1-4cd2-87bb-fa3d5d45774b · outbound

This paper cites On self-similar singularity formation for the binormal flow.J.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On self-similar singularity formation for the binormal flow.J

Reference 77

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.390269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.260759Z digest=sha256:b752fae328b262f7d98d30b659c98f70806f55667300d0543221c8e043851a79

Observation acd5f26c-f74b-4e2f-a315-c76ece7592a0 · outbound

This paper cites Formation of singularities and self-similar vortex motion under the localized induction approximation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Formation of singularities and self-similar vortex motion under the localized induction approximation

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.372779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.267612Z digest=sha256:f6f7b67c0fc2c8651afc981f53c957cd103074e84762e445ea7b303eef3eb7f5

Observation d0ad72f6-7807-45af-aa4f-10e889665894 · outbound

This paper cites Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schr¨ odinger equations.Arch.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Long-time instability and unbounded Sobolev orbits for some periodic nonlinear Schr¨ odinger equations.Arch

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.354697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.272419Z digest=sha256:194d8d80c21a9d09d993de2577c89676334757c3335e2cb7cdfc1d1f3c67f78b

Observation a9fff682-c71a-43f6-afbd-661a26884ea1 · outbound

This paper cites Modified scattering for the cubic Schr¨ odinger equation on product spaces and applications.Forum Math.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Modified scattering for the cubic Schr¨ odinger equation on product spaces and applications.Forum Math

Reference 80

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.336457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.277032Z digest=sha256:5c3de5decafe0a7e6f366eb92f8c5eeb12e07e4b60c47f0909401d81359a7405

Observation 0118f14f-c1af-4fb0-9b5d-5f9ab4453675 · outbound

This paper cites Sharp well-posedness for the cubic NLS and mKdV in H s(R).

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Sharp well-posedness for the cubic NLS and mKdV in H s(R)

Reference 81

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.317787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.281681Z digest=sha256:b201ffd9f4c6187d3352b1cbdb30b089052e95adcdeff5f379c9bc21b2810642

Observation da86d113-f137-49dc-963e-19a2eeac54ae · outbound

This paper cites A soliton on a vortex filament.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation A soliton on a vortex filament

Reference 82

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.301621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.287655Z digest=sha256:0e16d27e9a99e34d8ae3db627672894c838f4ce28bdff29fe6a84c2e47d69b46

Observation bc29afe4-b63f-417a-9b83-6c2a97d9263a · outbound

This paper cites The spectrum of singularities of Riemann’s function.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The spectrum of singularities of Riemann’s function

Reference 83

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.287078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.294679Z digest=sha256:1e71b408fc102e1e3a4151e037f56c519500cc70d46d0eeaa037ed2324cc3df0

Observation 945e89e5-8121-4dd1-b390-2a1a619fcc50 · outbound

This paper cites On simultaneous Diophantine approximations.Math.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On simultaneous Diophantine approximations.Math

Reference 84

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.270405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.300094Z digest=sha256:f7c7ed18cc1e3a491084ea150e38fad5a3793005adeefc457c0d6e7c675bf285

Observation a5e84857-8a71-4299-9539-975d6fbb3b75 · outbound

This paper cites Jerrard and Christian Seis.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Jerrard and Christian Seis

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.253643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.305692Z digest=sha256:40e21e16c9708a100769a1a539eae0b34f2b61f68ff79c2c52e42a15c4e9ee71

Observation a4441a0a-a559-427f-b2e8-dd9f6dc47ec3 · outbound

This paper cites Jerrard and Didier Smets.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Jerrard and Didier Smets

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.235444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.310908Z digest=sha256:456dde4710d0847a4f76752c1876392ece26f98d500162b844a32ed1463037f1

Observation 7086949d-3809-4c05-adfd-040a980a76bb · outbound

This paper cites Does a quantum particle know the time? In Emerging ap- plications of number theory (Minneapolis, MN, 1996) , volume 109 of IMA Vol.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Does a quantum particle know the time? In Emerging ap- plications of number theory (Minneapolis, MN, 1996) , volume 109 of IMA Vol

Reference 87

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.219225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.317712Z digest=sha256:cc332d89428ceea0634ac5ee26811769eefdf7a45b1d9cb57f6b103190b22dc0

Observation 0b43939f-1811-4a85-b617-a9d6a56d1deb · outbound

This paper cites Scattering-like phenomena of the periodic defo- cusing NLS equation.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Scattering-like phenomena of the periodic defo- cusing NLS equation

Reference 88

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.199698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.323825Z digest=sha256:dae91ada2da35407da1793ae5bac98f0d41d2704dc26ed897589ea913234fb1f

Observation fced4377-84e4-4f69-9c4a-bbb4b20ed100 · outbound

This paper cites Kenig, Gustavo Ponce, and Luis Vega.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Kenig, Gustavo Ponce, and Luis Vega

Reference 89

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.180763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.330143Z digest=sha256:a6d4611ad17361f48a6574043086606ba6d27bc7c448a968f46f3fb02332ecf0

Observation 67692768-5a44-4318-b684-afb1990d1f0b · outbound

This paper cites Low regularity conservation laws for integrable PDE.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Low regularity conservation laws for integrable PDE

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.161857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.336317Z digest=sha256:9760516b41fa6c3df7ef3317b3525af1b5bcaf5b41479211e795dce425261ba7

Observation aedb7710-589a-4133-bfbc-86884d62ae7d · outbound

This paper cites Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.144652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.341737Z digest=sha256:760df64b886554fc598cf382f936a23f767c80f6a3f0e2264543c97dd1c727e1

Observation 26739aa5-7bd2-4567-bb1b-8eb176fcad84 · outbound

This paper cites Mode generating property of solutions to the nonlinear Schr¨ odinger equations in one space dimension.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Mode generating property of solutions to the nonlinear Schr¨ odinger equations in one space dimension

Reference 92

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.127360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.346871Z digest=sha256:8115f0c08e0d1bcc8eeecdb09fdae258257f357542a61a2a4c13426993b63f26

Observation b23cc6d7-a82d-4f69-922c-be90286b2281 · outbound

This paper cites Conserved energies for the cubic nonlinear Schr¨ odinger equation in one dimension.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Conserved energies for the cubic nonlinear Schr¨ odinger equation in one dimension

Reference 93

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.108694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.352218Z digest=sha256:6fa3bda73c09573f7b759fab7a8e236eac85112cf6cd86c2bb30d1d38aa2f7e7

Observation 6cfb458b-194a-425e-987e-cccb124417f0 · outbound

This paper cites The vortex filament equation and a semilinear Schr¨ odinger equation in a Hermitian symmetric space.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation The vortex filament equation and a semilinear Schr¨ odinger equation in a Hermitian symmetric space

Reference 94

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.088871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.357206Z digest=sha256:5b69cfd23d3114f6313fa28b98d4e9a27eaee264ec1cc1f438d514d3d444b7ad

Observation 06aa0f15-3dc1-4e08-957d-593a09be7c61 · outbound

This paper cites On the Duffin-Schaeffer conjecture.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the Duffin-Schaeffer conjecture

Reference 95

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:41:00.065805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.363198Z digest=sha256:eef6e606a235ed243c0101c06d8bf59a5dcf5b56e435cfaa4a592b29e5c4519f

Observation 5a520a8d-3bda-49b3-a824-489375694acc · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 96

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:41:00.044392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.368933Z digest=sha256:155ccfdf09b76415534a25e49767c81b272164a15984e34f663ba2c92ff3c165

Observation c958621a-85ef-4df9-85d1-fdf4bf4480b5 · outbound

This paper cites an unresolved cited work.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Unresolved cited work

Reference 97

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:41:00.017474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.374615Z digest=sha256:c2cb8e83527839dc197ff8874bfd9f535de2ac6c06dee2689569c2bb9a65e7e4

Observation e393f81d-d028-4b9f-8a05-ed7a3f68ac86 · outbound

This paper cites On the evolution of higher dimensional Heisenberg continuum spin systems.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On the evolution of higher dimensional Heisenberg continuum spin systems

Reference 98

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:59.994453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.380567Z digest=sha256:b777a12171e13618b8c48fa0e5befcfe1e0bfe345dfe5369a1b179e52024d73f

Observation b9601a10-8634-40df-84d0-9ae53f419f33 · outbound

This paper cites Landau and Evgueni Lifshitz.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation Landau and Evgueni Lifshitz

Reference 99

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:59.974322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.386890Z digest=sha256:ad3a040cf13023d08de766232b249225006de0bddcdfbd11b85bcaf5f818a955

Observation a28f6af8-3b9f-41cd-9fc5-0fb234c7aa34 · outbound

This paper cites On uniqueness and continuation properties after blow-up time of self-similar solutions of nonlinear Schr¨ odinger equation with critical exponent and critical mass.Comm.

Turbulent solutions of the binormal flow and the 1D cubic Schr\"odinger equation On uniqueness and continuation properties after blow-up time of self-similar solutions of nonlinear Schr¨ odinger equation with critical exponent and critical mass.Comm

Reference 100

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:40:59.958345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T12:40:59.392532Z digest=sha256:692a525f851859301b675a483d226a62b2506cef6b105248362b583ac5a895b8

Pith citing papers

No inbound Pith citation observations are available.