Preperiodic points for rational functions defined over a global field in terms of good reduction
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Publication:2827364
DOI10.1090/proc/13096zbMath1392.37115arXiv1403.2293OpenAlexW2267379722MaRDI QIDQ2827364
Jung Kyu Canci, Laura Paladino
Publication date: 19 October 2016
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.2293
Counting solutions of Diophantine equations (11D45) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35)
Related Items (6)
Scarcity of cycles for rational functions over a number field ⋮ Bounds for preperiodic points for maps with good reduction ⋮ New families satisfying the dynamical uniform boundedness principle over function fields ⋮ A DYNAMICAL SYSTEM PROOF OF NIVEN’S THEOREM AND ITS EXTENSIONS ⋮ Scarcity of finite orbits for rational functions over a number field ⋮ Current trends and open problems in arithmetic dynamics
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