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An algebraic geometry question and wave turbulence

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arxiv 2409.12316 v3 pith:GOGGXJC3 submitted 2024-09-18 math.NT math-phmath.AGmath.MP

Sergei Vlăduţ This is my paper · ORCID
classification math.NTmath-phmath.AGmath.MP
keywords algebraicgeometryturbulencewaveadvancesanalyticalconjectureconsequences
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This paper is a sequel to [3]. We formulate a natural algebraic geometry conjecture, give some of its number theoretic and analytical consequences, and show that those can be used to get further advances in wave turbulence theory.

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  1. Kinetic approximation for equations of discrete turbulence in the subcritical case

    math-ph 2025-05 conditional novelty 7.0 of 10

    In the subcritical ν→0 then L→∞ limit, exact NLS spectra satisfy the wave kinetic equation up to O(ε^3), proved by cumulant induction instead of Feynman diagrams.

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