Généralisation d'un théorème de R. Perez-Marco au cas p-adique

Generalization of a theorem by R. Perez-Marco in the -adic case.

Abstract: In this Note, we prove, in the p-adic case, a 0–1 law about the linearization of families under a polynomial perturbation in t. This gives new examples of non linearizable functions in the p-adic case. To cite this article: D. Vieugué, C. R. Acad. Sci. Paris, Ser. I 339 (2004). [Copyright &y& Elsevier]

Résumé: Dans cette Note, on prouve, dans le cadre p-adique, une loi de tout ou presque rien concernant la linéarisation de familles qui subissent une perturbation polynômiale en t. Ceci fournit de nouveaux exemples de fonctions non linéarisables dans le cas p-adique. Pour citer cet article : D. Vieugué, C. R. Acad. Sci. Paris, Ser. I 339 (2004). [Copyright 2004 Elsevier]

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