Simple and contracting arborification

  • Emmanuel Vieillard-Baron

    Université de Bourgogne, Dijon, France
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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.