Open AccessDynamique des polynômes quadratiques sur les corps locaux
Author(s) -
Robert L. Benedetto,
Jean-Yves Briend,
Hervé Perdry
Publication year - 2007
Publication title -
journal de théorie des nombres de bordeaux
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.663
H-Index - 26
eISSN - 2118-8572
pISSN - 1246-7405
DOI - 10.5802/jtnb.589
Subject(s) - mathematics , pure mathematics , combinatorics
We show that the dynamics of a quadratic polyno- mial over a local field can be completely decided in a finite amount of time, with the following two possibilities : either the Julia set is empty, or the polynomial is topologically conjugate on its Julia set to the one-sided shift on two symbols.
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