2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/121835Let $F$ 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 $1/n$.6 pagesDynamical SystemsComplex Variables32H02, 32H50, 37F99text