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- W1653579981 abstract "Nous etudions le probleme du centre de Siegel sur la linearisabilite des germes de diffeomorphismes d'une variable. Aux problemes classiques de linearisation formelle et analytique nous ajoutons des conditions suffisantes pour que la linearisation appartienne a certaines algebres de germes ultradifferentiables qui sont fermees par composition et derivation et qui incluent les classes de Gevrey. Dans le cas analytique nous donnons une reponse positive a une question posee par J.-C. Yoccoz sur l'optimalite des estimations obtenues par la methode classique des series majorantes. Dans le cas ultradifferentiable nous prouvons que la condition de Brjuno est suffisante pour que la linearisation appartienne a la meme classe que le germe. Si on admet que la linearisation soit moins reguliere que le germe on trouve des nouvelles conditions arithmetiques, plus faibles que la condition de Brjuno. Nous donnons une courte discussion de l'optimalite des resultats obtenus." @default.
- W1653579981 created "2016-06-24" @default.
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- W1653579981 date "2000-01-01" @default.
- W1653579981 modified "2023-10-17" @default.
- W1653579981 title "Linearization of analytic and non-analytic germs of diffeomorphisms of $({mathbb C},0)$" @default.
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- W1653579981 doi "https://doi.org/10.24033/bsmf.2363" @default.
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