Bounded Height in Families of Dynamical Systems

DOI10.1093/imrn/rnx174zbMath1431.37076arXiv1703.05365OpenAlexW2599847983MaRDI QIDQ5243352

Dragos Ghioca, Laura DeMarco, Thomas J. Tucker, He-Xi Ye, Holly Krieger, Khoa D. Nguyen

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05365

zbMATH Keywords

arithmetic dynamicsbounded height conjecture

Mathematics Subject Classification ID

Heights (11G50) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)

Related Items (7)

Rational values of transcendental functions and arithmetic dynamics ⋮ Critical orbits of polynomials with a periodic point of specified multiplier ⋮ Polynomial dynamics and local analysis of small and grand orbits ⋮ Transcendence of polynomial canonical heights ⋮ Integrality properties of Böttcher coordinates for one-dimensional superattracting germs ⋮ On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics ⋮ A question for iterated Galois groups in arithmetic dynamics

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