Simple and contracting arborification

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TitreSimple and contracting arborification
Type de publicationConference Paper
Year of Publication2015
AuteursBaron EVieillard
EditorEbrahimiFard K, Fauvet F
Conference NameFAA DI BRUNO HOPF ALGEBRAS, DYSON-SCHWINGER EQUATIONS, AND LIE-BUTCHER SERIES
PublisherFrench Ctr Natl Rech Sci; Courant Res Ctr; Lab Math Informatique & Applicat; Inst Rech Math Avancee
Conference LocationETH-ZENTRUM SEW A21, ZURICH, CH-8092, SWITZERLAND
ISBN Number978-3-03719-143-9
Résumé

We present a complete exposition of Ecalle's arborification-coarborification formalism, which is an essential component of his Mould Calculus, and we include in particular original results on the composition of arborified moulds. The connections with recent works regarding combinatorial Hopf algebras on trees are made but we give all the proofs in a self contained way, and we treat numerous examples.