Monomial maps on and their arithmetic dynamics

DOI10.1016/j.jnt.2011.06.012zbMath1242.37064OpenAlexW2062571883MaRDI QIDQ640874

Aryeh Gregor, Yu Yasufuku

Publication date: 21 October 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.06.012

zbMATH Keywords

orbitsmonomialsintegral pointsalgebraic dynamicsVojta's conjecturePerron's theoremcyclotomic theory

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Number-theoretic analogues of methods in Nevanlinna theory (work of Vojta et al.) (11J97) Arithmetic dynamics on general algebraic varieties (37P55)

Cites Work

• Diophantine approximations and value distribution theory
• Integer points, diophantine approximation, and iteration of rational maps
• A gap principle for dynamics
• Primitive divisors in arithmetic dynamics
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