Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials
Author:
Xander Faber
Journal:
Proc. Amer. Math. Soc. 143 (2015), 685-694
MSC (2010):
Primary 37P35; Secondary 37P05, 37P40
DOI:
https://doi.org/10.1090/S0002-9939-2014-12328-8
Published electronically:
September 19, 2014
MathSciNet review:
3283655
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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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Additional Information
Xander Faber
Affiliation:
Department of Mathematics, University of Hawaii at Manoa, Honolulu, Hawaii 96822
Received by editor(s):
May 1, 2013
Published electronically:
September 19, 2014
Communicated by:
Matthew A. Papanikolas
Article copyright:
© Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
