Algebraic Structures on Typed Decorated Rooted Trees

Typically decorated trees are used by Bruned, Hairer, and Zambotti to describe a renormalisation process on stochastic PDEs. We here study the algebraic structures on these objects: multiple pre-Lie algebras and related operads (generalizing a result by Chapoton and Livernet), noncommutative and coc...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2021
Main Author: Foissy, Loïc
Format: Article
Language:English
Published: Інститут математики НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211441
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Algebraic Structures on Typed Decorated Rooted Trees. Loïc Foissy. SIGMA 17 (2021), 086, 28 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine