About the Trimmed and the Poincaré-Dulac Normal Form of Diffeomorphisms
Bollettino dell'Unione Matematica Italiana (2012)
- Volume: 5, Issue: 1, page 55-80
- ISSN: 0392-4041
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topCresson, Jacky, and Raissy, Jasmin. "About the Trimmed and the Poincaré-Dulac Normal Form of Diffeomorphisms." Bollettino dell'Unione Matematica Italiana 5.1 (2012): 55-80. <http://eudml.org/doc/290921>.
@article{Cresson2012,
abstract = {. - 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 $\mathbb\{C\}^n$, 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.},
author = {Cresson, Jacky, Raissy, Jasmin},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {55-80},
publisher = {Unione Matematica Italiana},
title = {About the Trimmed and the Poincaré-Dulac Normal Form of Diffeomorphisms},
url = {http://eudml.org/doc/290921},
volume = {5},
year = {2012},
}
TY - JOUR
AU - Cresson, Jacky
AU - Raissy, Jasmin
TI - About the Trimmed and the Poincaré-Dulac Normal Form of Diffeomorphisms
JO - Bollettino dell'Unione Matematica Italiana
DA - 2012/2//
PB - Unione Matematica Italiana
VL - 5
IS - 1
SP - 55
EP - 80
AB - . - 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 $\mathbb{C}^n$, 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.
LA - eng
UR - http://eudml.org/doc/290921
ER -
References
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