Class of the infinitesimal generator of a diffeomorphism in $(\C^m,0)$

Details Class of the infinitesimal generator of a diffeomorphism in $(\C^m,0)$ Class of the infinitesimal generator of a diffeomorphism in $(\C^m,0)$

2007-01-12

arxiv.org/abs/math/0701355v1

Mathematics

Dynamical Systems

6 pages

Scientific paper

Let $F$ be an analytic diffeomorphism in $(\C^m,0)$ tangent to the identity
of order $n$. The infinitesimal generator of $F$ is the formal vector field $X$
such that $\Exp X=F$. In this paper we provide an elementary proof of the fact
that $X$ belongs to the Gevrey class of order $1/n$.

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