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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 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

100 of 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:a3ad7822b553b760382a8c8d2d0216b23f71e4675022df2297c2c25f29fa7b1f

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=sha256:4e7d25c50e34490e075d8b70821fc72462276fb003bfd55809d8fe7bdba69ae0

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=sha256:3d8af1e7e250d516d6f427afa6ff64973c0450f62e96f43e5f8a9d3f6a09f8a8

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=sha256:6056efd7c09921bd8c56bafb10b9d6b36a7476a75512a6a9e970987c11c93787

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:acca38b419161c9cfede5641e0dd8bb6938296e759886e7c65b8a105ac739109

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=sha256:819684ceb683d0c126446dcc01e7902672c6f3a59cfd184b225144b1a68d58ae

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=sha256:6f404308973bb44e04c49e9938870777f4602a27a8fc2696e6ccdfbae0b99f43

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:bae8775035f5e1c24e44c588c28dbed26131e5d8a44e4e2788987ee88f1d4b47

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=sha256:48874d63f29f7819c0b90ebdce08869e7fe492a62379a72641d1a148bd01e00d

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=sha256:5e356c409a45d6f31e5e1ac4fc5ed3523deefddde7a87be79e2855064568248f

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=sha256:6920e685dc6326ddf6b82e80d9cea14baffa0c08c3525e9d89745c7559d69e34

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:b2a7424db7500ce2dd3637aa54dbcd1173439afc05dd8fa32e934335684dc178

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=sha256:5a24b39c3d971838f31af47c9b69bee3ef6bc98be93033c82c842f228136f2aa

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=sha256:94f9a462ecb81949b1dba7b0278aad27a05808830fdaa34a6002f008ab001509

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:b1245b2b721c4fbef2e7a16467ca6549fe2504564d13b47aca7c77b89cb96ad2

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=sha256:10ea437ed0233cd3a03b166a5df23f8b51bc6cedee5b5ab1609ae28fcae12d65

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=sha256:4261562535522c7e5a863d61eb9a9648519820ed53e3b8f514dd88dd8a3d3680

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=sha256:211670e025ca590bc32c53d64107fd92e1f2e048dcc83e67f3c9a6a9ac899171

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:d903234c8ae43f27f5e7ec72a378bbbd5c128f5c2e25ce4fa150e28161a19e43

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:b1ccde2efed55556e207e8a1cf3335e5dc461e868dcffd22ecdfeb20991c465e

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=sha256:5fb6fda753757cfa46805ae6b0f53495fd99de230764ab0a4edaefb51da42c78

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:a30c5c3a2dc2688d56b8ab54ede47f271f3a55e75b6b265a99566251c464e6da

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:f517a13b1e00f8c7971e5eda0b241a7a3cccab3ecbf3f30cfb00f72f07e1a4b9

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:fa6baf5921020c1c54c6b6105d894a7a01ebfb95caa0ee17eb1dd0ff06615d22

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:b21c96d10c09495f6fc17f05fd6adbf379d4893e9cd85c5cdc07e9b54a32077b

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=sha256:9e95d045c8c7d6826cad2a7ef8055e2b025ceb6229ffe25968ec14dee3f5f39c

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=sha256:3422693aae2613fc819a6efd6589fd966b3986459d7ebdd936178f8175710d41

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:d427ae6c4fa3f576ccb34391760bb7c4c46bf2829db976424ee986b588ee0e40

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:b3b2987e6d8b329bfd006b08182e02112fd2d5a1dfea3ba1e2c745a604567580

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:ecd82cf199da2d3063ea3b3ccdb4d17f8829fef487c52ed18a4de8944ef254b3

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=sha256:85a2887556c44b229897e163bb58315d06668cf44f538a466f65a06b1c73542a

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:fe62f273cbddb64c37ca7d428e694ebc47db86497a9f96554b836327c8319158

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:bf389881d988fae37fb3762c7390583405b2659e270bc4c77d133e7ba52c7768

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=sha256:72f1ea153a98786149045b4ee15c838dcf472382986a5175055cc420cf1e933c

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:e1b81afeb7e7c5449e06199922a1e5d6a6ca9f6ebf923abe0466d1e1200c7cf2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.030954Z digest=sha256:428ab43fa063a90d796b50297e9ef4ee98edc280b323bf1965c5710a0158e5f5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.038500Z digest=sha256:7063ffc7a57ec0feafd02e58384dd4b7d8e572a6ea6082aa7301be5cb1e93645

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.043895Z digest=sha256:abd44792bfd6455a12ccc11272d35366a6748ea1cd30eec4eefba18efdd83498

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.050229Z digest=sha256:48e30c6147b5c73292a5391fd0d99fe377b98ac245cb8f5bd856591469f306ba

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.056648Z digest=sha256:a7b6fce96c60c99d8b7d1824160ff3cb524128018f1b09c7ad9ab1702b61223c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.061621Z digest=sha256:e037be085debf4e4fb56aca04157e9f5cf0b2f8a11b2311509af0d8a19b66041

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.067469Z digest=sha256:9c264cd8758780dac4fcdbcb7cf7dce3b4e318df74801bbc3d4e287763376ab6

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.073053Z digest=sha256:bf6f1ffa54a0f83eec02d9091e83c2521a5f360ba246b1e806a86e093fe29922

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.077863Z digest=sha256:d0fbc25b578d289391b053ccbda286f561eb0179bd57b29eaec9aea71e78d638

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.083312Z digest=sha256:ce44daf7381255afbf09f91f75e52a3ae5a06686364c58e7a91f24634b007878

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.088754Z digest=sha256:28292dfe3819041437dd3315afb6d8e5d9dc1649e31d40e88d16cf131ca876d8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.094741Z digest=sha256:dedb44d7ac530d276e96aa7fe2326e2c8c43985e5fc2ee281754ea3ceafa5b64

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.099594Z digest=sha256:2f532cdd9c69c8ff5f6efc73dea50910cec29b4ad35f57d5307c200b6582bd35

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.104924Z digest=sha256:1309600bb9c9e47474e0b064108b64499dd64600c69cefc51b56002a20984cf5

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.111027Z digest=sha256:8d3dd7f441fe4ae3d83cdcb2ff33ed828cdd06eb9da3c37dbe750510bdc4aeb6

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.116626Z digest=sha256:d2a5092be59c65b36c933172e5830868dd62efdfa06775b77d729554aecdce55

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.124338Z digest=sha256:9d2696879c5f9856fe5603976d345f8c0135aa9e09274dbea8fdec7bc251ca55

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.130224Z digest=sha256:cdaaf00cf4a0fc6f91ebc26a0ddcfe8d5adba7c4935bd8c26b884bd8b7a8f091

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:c9e454c3de79e47517af3bd9feb12c01aa3248c26e36ab8751b9fa444a840527

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.142529Z digest=sha256:62c5d0cf8fc9df6641ebf2921541fef9634673af5762a3daa8d145840440d2e6

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.147018Z digest=sha256:3a09fac521f2270234d30d09371906bbafab7dc3c5f2fb3bfc7466d57310add1

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.151370Z digest=sha256:b08225bd3c18746a76994e5a658d76188855f628e7a07c3d109afa3e64e3a9f2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.156466Z digest=sha256:d2b0ccc641563e5feb3e705478a4c23508d125e410c3bd6b0b3209bfc32d1153

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.161915Z digest=sha256:e6a80e8d5da805da35ec45b38269990390b5bf3177d6eff4adb5a60f971d5e86

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.167294Z digest=sha256:86394c8efa24a76bdd185b4ef6cb58d2b9fced2b7e5a89582417d59f76988855

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.174584Z digest=sha256:9d46c331691cefb10738cf3d91b895bd9f5d94ff6386867d25a6d82963d2f14b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.180411Z digest=sha256:f6065b47e526093078fbb3d1dc411d62358e5e22f8fe6f52262afa54ccb119ef

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.186902Z digest=sha256:7414e3550ec0e897c7ee67110421107e7ff1c7b8b0180b06e38afffb777a8d34

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.192226Z digest=sha256:841e5fa34c10e2b1f56b99b9234ba185af321df4cc2815df45f194060189c478

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.197445Z digest=sha256:d895ef456c1505d7ddd2590c9e93d4c765cbf292bd95b135bcdb232c41e1c51e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.205601Z digest=sha256:6247dd89d48be17be7a61d691c4de6815b05dedd6cfca122e3176d2d447e4406

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.210365Z digest=sha256:1912cdf040de35af4548de4c1b102dd27c826c8852fc4858b78f7cf3f3cedc4e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.216680Z digest=sha256:ea0bd817a1a8c04a7dc89a6a6f620a98614b274f00b2226f92f7175cf93a6b5f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.221539Z digest=sha256:b0860997e6ea1a11ce7dfd752867ecac0b290e284fc42d6a6604e66d2dbff92a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.226310Z digest=sha256:1af7b287153f6abcaebc537b4947b12971528925daf273025c9ac41c7c8fbb52

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.230450Z digest=sha256:627491fd2bb3486dcdb747914a8628a2ff89b28cf549ade04ea2da89250dc855

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.235040Z digest=sha256:1de2f5523b38461b42183ebe2302e2cc7d38419151038375f8cf49f92819f546

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.239579Z digest=sha256:8dc3792b7f4dff09262a01d4e5512af668adac87f0ef030f9f14066b17654f00

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.243745Z digest=sha256:335fa7a9f71ccab655b4a630cd338dc64ece7caaaaf3c5b729b97cfe2d1bb72b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.250334Z digest=sha256:102442c65793c9db563f7b028b8a9c5518f08ab57b0d06e43e2aad0b63d44a5a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.255537Z digest=sha256:15603d3d37c8db9416d4ecc85f08ca41636006d656ba8af317106ba3659c3624

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.260759Z digest=sha256:7949fd0403747c982e65874a0f10cfdca176ed96b7c873f4051359b907a7878d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.267612Z digest=sha256:82fa1b6ec6e8821d1135da5a02b8d7d2fb1dac5941c0b2af431c641d7b977bfd

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.272419Z digest=sha256:7a6e1a58f69be016333d42e57fb4e113fb57a90bb1fd4332c10dcf96a9579944

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.277032Z digest=sha256:42d48ff986b726228b9cae08ef761277d6a0f67745821f4d0ae8f99be90d180d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.281681Z digest=sha256:65e2339996e4d53d221e1975ffe5b80194946dd4eb6cd67bf1c1cb4c73984139

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.287655Z digest=sha256:1b555604ed04a622cb04b752e427886af1e16e487c6839643c1cdb584e09aa17

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.294679Z digest=sha256:98d01cfbdc454592f38d4acbf6466cd173a1ecd11eeae85a46589e594b8020d3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.300094Z digest=sha256:cbde9eb02594745c3350eec0611a49d55d404b8b7fc9bf592ee0a004924013c8

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.305692Z digest=sha256:5f0d9a94fe94246c3d3719285f5f2280e47f1ada19bf54ce222b760fa1c80196

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.310908Z digest=sha256:d7b20250f58fbf75ff1c99b35887462a880d6a361b3e287edd6221b3660c10b4

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.317712Z digest=sha256:cdeb41c6e2d60a17aa239c2fc4fee3aca621a2085dab3e4312097275a4ef62de

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.323825Z digest=sha256:300ca6dc5cdc97e0340d84e0f1d64c49482de15c0e017caf32c6c31f264c0a8f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.330143Z digest=sha256:da20f606e3d4884a7ef6fb9f5ace6911644c6a7d7e2cb9820b5d287f114ee485

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.336317Z digest=sha256:925fa23697b3332756aa391ba2a87789a529804b3166126b83b2bde8963ae524

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.341737Z digest=sha256:037c364815443b26000b012b05ada0ee12d576173f957df2f6c885b18bb995ac

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.346871Z digest=sha256:a32254de1f10fd432899eccd1014e695902ef46bec2f0f6a990614276f7c8d98

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.352218Z digest=sha256:f21b74dec556b370307adbee0cb7949b4aa633282e819506f4d2be00b4d13c9c

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.357206Z digest=sha256:bb8fa6aa17cedce674c2b4ae263aa43e434155a53d9ece59c19a240969cb6dc2

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.363198Z digest=sha256:3ca6c16b45e532e2a3b90c2134c08fe98adcdc32b1d15828aa2f53a8d1551f7b

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.368933Z digest=sha256:79d121b91ce4b6dc2769303ff2a2bd258691583638b75717287ff6de241e4aae

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.374615Z digest=sha256:58d0e991bda33393ede62f7e9f3fa6bc4d487506f1d4696de2668bcb831b12a3

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.380567Z digest=sha256:4f8d114f8fa937b56b2d33a46e9cea99370686f6dd267c0eabba2c9520cd216d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.386890Z digest=sha256:fc26d19ac8f9a0342665ec447edae18cab3297a2d7f05cde9648bcbd86e9fb9f

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T12:40:59.392532Z digest=sha256:c799b7b245cf9f0b3efe2fc32d5ccfb787b1124808ee1b2d06a6d93f71e02ba2

Pith citing papers

No inbound Pith citation observations are available.