Comptes Rendus
Analyse et géométrie complexes, Systèmes dynamiques
A quick proof of the regularity of the flow of analytic vector fields
Sergio A. Carrillo1
1 Programa de matemáticas, Universidad Sergio Arboleda, Calle 74 # 14-14, Bogotá, Colombia.
Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1155-1159.

We offer a new and elementary proof of the convergence of the Lie series giving the flow of an analytic vector field as well as a natural deduction of such series.

Reçu le :
Accepté le :
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DOI : 10.5802/crmath.271
Classification : 32M25
Sergio A. Carrillo 1

1 Programa de matemáticas, Universidad Sergio Arboleda, Calle 74 # 14-14, Bogotá, Colombia.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {A quick proof of the regularity of the flow of analytic vector fields},
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Sergio A. Carrillo. A quick proof of the regularity of the flow of analytic vector fields. Comptes Rendus. Mathématique, Volume 359 (2021) no. 9, pp. 1155-1159. doi : 10.5802/crmath.271. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.271/

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