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

Faber, Xander

doi:10.1090/S0002-9939-2014-12328-8

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

Proc. Amer. Math. Soc. 143 (2015), 685-694

DOI: https://doi.org/10.1090/S0002-9939-2014-12328-8

Published electronically: September 19, 2014

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Abstract:

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

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