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arXiv · 0912.5413

Dynamique p-adique (d'après des exposés de Jean-Christophe Yoccoz)

Serge Cantat·Antoine Chambert-Loir
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Abstract

This paper is an introduction to the dynamics of rational fractions over a p-adic field. It follows the lectures that Jean-Christophe Yoccoz gave during the États de la recherche in May 2006, and develops certain points. Most of the results to be explained here are due to Benedetto, Bézivin, Hsia, Lubin, Morton, Rivera-Letelier and Silverman. ----- Ce texte est une introduction à la dynamique des fractions rationnelles sur un corps $p$-adique. Il reprend le cours que Jean-Christophe Yoccoz avait fait lors des \emph{États de la recherche} de mai 2006 et en développe certains points. La plupart des résultats présentés sont dûs à Benedetto, Bézivin, Hsia, Lubin, Morton, Rivera-Letelier et Silverman.

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BibTeXRIS

Serge Cantat, Antoine Chambert-Loir. 2009-12-30. Dynamique p-adique (d'après des exposés de Jean-Christophe Yoccoz). https://arxiv.org/abs/0912.5413

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