Abstract:The paper discusses properties of adari(pal) and ganit v (pic) which are Ecalle's maps among certain sets of moulds related to the double shuffle relations of MZVs. We give self-contained proof of their basic properties which are exhibited in Ecalle's papers and partially proved in Schneps' paper. Contents 19 Appendix A. On expari(ARI(Γ) al ) = GARI(Γ) as 29 A.1. Preparation 29 A.2. Proof 31 References 37
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