Diophantine approximation and primitive prime divisors in random iterations

DOI10.4064/aa230303-12-8MaRDI QIDQ6180237

Ruofan Li

Publication date: 19 January 2024

Published in: Acta Arithmetica (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsDiophantine approximationprimitive prime divisors

Mathematics Subject Classification ID

Approximation to algebraic numbers (11J68) 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) Random iteration (37H12)

Cites Work

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• Zsigmondy's theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings
• Stochastic canonical heights
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• Primitive Prime Divisors in Zero Orbits of Polynomials
• Function field analogues of Bang--Zsigmondy\'s theorem and Feit\'s theorem
• Prime factors of dynamical sequences
• Primitive Prime Divisors in the Critical Orbit of zd+c
• Primitive divisors in arithmetic dynamics
• The Arithmetic of Elliptic Curves
• Average Zsigmondy sets, dynamical Galois groups, and the Kodaira-Spencer map
• The 𝐴𝐵𝐶-Conjecture implies uniform bounds on dynamical Zsigmondy sets
• Primitive prime divisors in the critical orbits of one-parameter families of rational polynomials
• Canonical Heights for Random Iterations in Certain Varieties

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