About the Trimmed and the Poincaré-Dulac Normal Form of Diffeomorphisms
Cresson, Jacky ; Raissy, Jasmin
Bollettino dell'Unione Matematica Italiana, Tome 5 (2012), p. 55-80 / Harvested from Biblioteca Digitale Italiana di Matematica
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. - In this paper, we give a self-contained introduction to the mould formalism of J. Écalle. We provide a dictionary between moulds and the classical Lie algebraic formalism using non-commutative formal power series. We review results by J. Écalle and B. Vallet about the Trimmed form of local analytic diffeomorphisms of ℂn, for which we provide full proofs and details. This allows us to discuss a mould approach to the classical Poincaré-Dulac normal form for diffeomorphisms.

Publié le : 2012-02-01
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     author = {Jacky Cresson and Jasmin Raissy},
     title = {About the Trimmed and the Poincar\'e-Dulac Normal Form of Diffeomorphisms},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {5},
     year = {2012},
     pages = {55-80},
     zbl = {1250.32027},
     mrnumber = {2919648},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2012_9_5_1_55_0}
}

Cresson, Jacky; Raissy, Jasmin. About the Trimmed and the Poincaré-Dulac Normal Form of Diffeomorphisms. Bollettino dell'Unione Matematica Italiana, Tome 5 (2012) pp. 55-80. http://gdmltest.u-ga.fr/item/BUMI_2012_9_5_1_55_0/

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