Paper Citation Record · LEDGER

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion

As of 19 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.14892.

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

pith.paper-citation-record.v1
2607.14892 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:54:50.434513Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

30 of 30 outbound references displayed

verified exact0
verified fuzzy0
unresolved30
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5374ceb-36c9-4ad9-a3f6-75f36ad2950d · outbound

This paper cites Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting.American Journal of Mathematics, 147(4):1053–1158, 2025.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting.American Journal of Mathematics, 147(4):1053–1158, 2025

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.340822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 783c2add-1ad9-44a4-9aa9-d95b4b240264 · outbound

This paper cites On the ill-posedness of kinetic wave equations.Nonlinearity, 38:115004, 2025.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion On the ill-posedness of kinetic wave equations.Nonlinearity, 38:115004, 2025

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.345000Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b4a1129-0067-4939-b382-2686f738d903 · outbound

This paper cites On the optimal local well-posedness of the wave kinetic equation inL r.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion On the optimal local well-posedness of the wave kinetic equation inL r

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.348809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a2bf717-ef05-4580-a5a1-b690c3dbffdd · outbound

This paper cites A collective description of electron interactions.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion A collective description of electron interactions

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.352607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66e12e51-f063-4eac-a8b7-64c023e65796 · outbound

This paper cites Onset of the wave turbulence description of the longtime behavior of the nonlinear schr¨ odinger equation.Inventiones Mathematicae, 225(3):787–855, 2021.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Onset of the wave turbulence description of the longtime behavior of the nonlinear schr¨ odinger equation.Inventiones Mathematicae, 225(3):787–855, 2021

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.355989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4ff8139-aff8-4615-b841-0a323ea625f6 · outbound

This paper cites On the derivation of the homogeneous kinetic wave equation.Communications on Pure and Applied Mathematics, 78(4):856–909, 2025.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion On the derivation of the homogeneous kinetic wave equation.Communications on Pure and Applied Mathematics, 78(4):856–909, 2025

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.359237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9106da56-cbb1-4d3c-9eeb-0e920b90b3d0 · outbound

This paper cites Derivation of the homogeneous kinetic wave equation: Longer time scales.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Derivation of the homogeneous kinetic wave equation: Longer time scales

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.363198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 487936ee-40ce-45bd-9012-da4297a600c1 · outbound

This paper cites On the derivation of the wave kinetic equation for NLS.Forum of Mathematics, Pi, 9:e6, 2021.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion On the derivation of the wave kinetic equation for NLS.Forum of Mathematics, Pi, 9:e6, 2021

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.366292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b19d87f0-b2a4-49b5-b3d6-09b3bfb97dee · outbound

This paper cites Derivation of the wave kinetic equation: full range of scaling laws, 2023.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Derivation of the wave kinetic equation: full range of scaling laws, 2023

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.369687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9531534e-ee3f-43f8-a685-41ebcbf41151 · outbound

This paper cites Full derivation of the wave kinetic equation.Inventiones Mathematicae, 233(2):543–724, 2023.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Full derivation of the wave kinetic equation.Inventiones Mathematicae, 233(2):543–724, 2023

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.372854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43083db7-d37e-43c2-a912-28ff3a2cbb6e · outbound

This paper cites Long time justification of wave turbulence theory.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Long time justification of wave turbulence theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.375678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a229305c-9b46-42ad-8965-b60acfce8c98 · outbound

This paper cites Long time derivation of the boltzmann equation from hard sphere dynamics.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Long time derivation of the boltzmann equation from hard sphere dynamics

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.378768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 353e2acf-4fb5-411e-9cea-a8d1b97e7c98 · outbound

This paper cites an unresolved cited work.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.381703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d8ae235-39b2-45df-a8a4-8ae63a91b387 · outbound

This paper cites Linearized wave turbulence convergence results for three-wave systems.Communications in Mathe- matical Physics, 378:807–849, 2020.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Linearized wave turbulence convergence results for three-wave systems.Communications in Mathe- matical Physics, 378:807–849, 2020

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.384456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddf89703-f0d5-4ea8-b4ff-41dbbe4f3cd0 · outbound

This paper cites Ionescu, and Minh-Binh Tran.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Ionescu, and Minh-Binh Tran

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.388081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f6f1a58-c50a-45ac-9f7d-a8b752bc8f77 · outbound

This paper cites Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Stability of Rayleigh-Jeans equilibria in the kinetic FPU equation

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.391006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7ed2114-2be3-47fc-b56d-06012d5e7850 · outbound

This paper cites A review on the kinetic theory of oscillator chains.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion A review on the kinetic theory of oscillator chains

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.394562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 482b7070-c1e0-4a4e-b05f-907411ca44de · outbound

This paper cites Local well-posedness for the kinetic MMT model.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Local well-posedness for the kinetic MMT model

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.397771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a8af66f-43c0-4b8e-9f02-5dc764fb7223 · outbound

This paper cites Inhomogeneous turbulence for the wick nonlinear schr¨ odinger equation.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Inhomogeneous turbulence for the wick nonlinear schr¨ odinger equation

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.400601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa7daacb-46b2-4df4-b565-4c5deda7e090 · outbound

This paper cites On the wave turbulence theory for a stochastic KdV type equation – generalization for the inhomogeneous kinetic limit.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion On the wave turbulence theory for a stochastic KdV type equation – generalization for the inhomogeneous kinetic limit

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.403739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f53017fc-63ed-4318-9e50-654d806d4424 · outbound

This paper cites an unresolved cited work.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.406721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6ed8db9-258c-47fd-a0c2-7c75cff83283 · outbound

This paper cites Almost sharp wave kinetic theory of multidimensional KdV type equations withdě3.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Almost sharp wave kinetic theory of multidimensional KdV type equations withdě3

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.409630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b301a4b3-5adb-41ce-93aa-7b2106596360 · outbound

This paper cites Springer-Verlag, Berlin, 1966.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Springer-Verlag, Berlin, 1966

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.412811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 684c582d-e950-42b2-9ad2-dece166490df · outbound

This paper cites Springer, Heidelberg, 2011.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Springer, Heidelberg, 2011

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.415896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9f1cac7-9e20-4710-b90b-b05dbdc522fb · outbound

This paper cites Local-in-time existence ofL 1 solutions to the gravity water wave kinetic equation.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Local-in-time existence ofL 1 solutions to the gravity water wave kinetic equation

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.418881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f306db20-d968-4c6f-8484-80d486e8aa49 · outbound

This paper cites On the wave turbulence theory for a stochastic KdV type equation.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion On the wave turbulence theory for a stochastic KdV type equation

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.422304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50c64a20-06c1-4907-81b2-4abfa703d6db · outbound

This paper cites American Mathematical Society, Providence, RI, 4th edition, 1975.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion American Mathematical Society, Providence, RI, 4th edition, 1975

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.425166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba9fe5b8-fa49-438e-b7a9-b4b85ada0cc9 · outbound

This paper cites Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Rigorous Derivation of the Wave Kinetic Equation for full $\beta$-FPUT System

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.428481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 907d741f-8369-45c9-8229-d2a0a6c5135a · outbound

This paper cites Vassilev.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Vassilev

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.431729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c4acca1-d77d-45a2-83ec-5453b9835009 · outbound

This paper cites Rigorous Derivation of the Wave Kinetic Equation for $\beta$-FPUT System.

Sharp decay thresholds in weighted $L^\infty$ for wave kinetic equations with power-law dispersion Rigorous Derivation of the Wave Kinetic Equation for $\beta$-FPUT System

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-02T00:54:50.434513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.