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Flows on Rooted Trees and the Menous-Novelli-Thibon Idempotents

Flows on Rooted Trees and the Menous-Novelli-Thibon Idempotents

Several generating series for flows on rooted trees are introduced, as elements in the group of series associated with the Pre-Lie operad. By combinatorial arguments, one proves identities that characterise these series. One then gives a complete description of the image of these series in the group of series associated …