Uyar, Murat (2021) Rational preperiodic points of cubic post-critically finite polynomials. [Thesis]
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Abstract
All cubic post-critically nite polynomials de ned over Q are classi ed up to Q-conjugacy, [3]. There are 15 such classes. For each representative of these classes we nd all rational preperiodic points by using an algorithm of B. Hutz [8]. We nd that the number of rational preperiodic points of a cubic post-critically nite polynomial de ned over Q cannot exceed 6.
Item Type: | Thesis |
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Uncontrolled Keywords: | periodic points. -- preperiodic points. -- orbit. -- critical points. -- post-critically nite polynomials. -- periyodik noktalar. -- preperiyodik noktalar, yörünge, kritik noktalar, kritik-ötesi sonlu polinomlar. |
Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
Depositing User: | IC-Cataloging |
Date Deposited: | 12 Nov 2021 10:34 |
Last Modified: | 26 Apr 2022 10:39 |
URI: | https://research.sabanciuniv.edu/id/eprint/42534 |