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Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials

We refine a result of R. Benedetto in pp-adic analysis in order to exhibit infinitely many quadratic polynomials over Q\mathbb {Q} with a specified graph of rational preperiodic points.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2015-02, Vol.143 (2), p.685-694
Main Author: Faber, Xander
Format: Article
Language:English
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Summary:We refine a result of R. Benedetto in pp-adic analysis in order to exhibit infinitely many quadratic polynomials over Q\mathbb {Q} with a specified graph of rational preperiodic points.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-2014-12328-8