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September 10, 2025Séminaire Laurent Schwartz — EDP et applicationsOpen Access

Decorated trees, arborification for cancellations in wave turbulence

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Authors

YBYvain Bruned

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Overview

This review explores cancellations in dispersive PDEs, highlighting a combinatorial perspective using decorated trees.

Key Points

  • This work reveals a new combinatorial perspective for understanding cancellations in wave turbulence.
  • The approach is based on decorated trees and an arborification map, transforming trees into linear combinations of words.
  • Graphical rules derived from this framework enable effective computation of cancellations in dispersive PDEs.
  • This methodology offers a rigorous pathway to derive wave-kinetic equations from random initial data.

Cite This Study

Yvain Bruned (2025) studied this question.

synapsesocial.com/papers/68c189e09b7b07f3a061396chttps://doi.org/10.5802/slsedp.180
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