Examples of wandering domains in p-adic polynomial dynamics

Robert L. Benedetto

doi:10.1016/S1631-073X(02)02531-1

Examples of wandering domains in p-adic polynomial dynamics
[Exemples des domaines errants dans la dynamique polynôme p-adique]

Robert L. Benedetto ¹

¹ Department of Mathematics, Amherst College, P.O. Box 5000, Amherst, MA 01002, USA

Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 615-620.

Résumé
Abstract

Soit p>0 un nombre premier. Nous construisons des polynômes p-adiques dans $ℂ_{p} [z]$ dont les ensembles de Fatou ont des domaines errants.

For any prime p>0, we contruct p-adic polynomial functions in $ℂ_{p} [z]$ whose Fatou sets have wandering domains.

Reçu le : 2002-07-05
Accepté le : 2002-08-20
Publié le : 2002-09-11

DOI : 10.1016/S1631-073X(02)02531-1

Affiliations des auteurs :

Robert L. Benedetto ¹

¹ Department of Mathematics, Amherst College, P.O. Box 5000, Amherst, MA 01002, USA

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     title = {Examples of wandering domains in p-adic polynomial dynamics},
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Robert L. Benedetto. Examples of wandering domains in p-adic polynomial dynamics. Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 615-620. doi : 10.1016/S1631-073X(02)02531-1. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02531-1/

Bibliographie
Cité par

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[3] R. Benedetto, Wandering domains in non-Archimedean dynamics, in preparation

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