Linear relations between polynomial orbits
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Publication:428166
DOI10.1215/00127094-1598098zbMath1267.37043arXiv0807.3576OpenAlexW2949477212MaRDI QIDQ428166
Dragos Ghioca, Michael E. Zieve, Thomas J. Tucker
Publication date: 19 June 2012
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0807.3576
Polynomials in number theory (11C08) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)
Related Items (20)
On amenable semigroups of rational functions ⋮ The orbit intersection problem in positive characteristic ⋮ Polynomial dynamics and local analysis of small and grand orbits ⋮ Counting points of bounded height in monoid orbits ⋮ Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems ⋮ Rational points on certain families of symmetric equations ⋮ Orbits of Algebraic Dynamical Systems in Subgroups and Subfields ⋮ Tame rational functions: decompositions of iterates and orbit intersections ⋮ Periods of rational maps modulo primes ⋮ The size of semigroup orbits modulo primes ⋮ The Mordell-Lang question for endomorphisms of semiabelian varieties ⋮ The dynamical Mordell-Lang problem for Noetherian spaces ⋮ Unlikely intersections over finite fields: polynomial orbits in small subgroups ⋮ Growth rate of ample heights and the Dynamical Mordell–Lang conjecture ⋮ On algebraic integers of bounded house and preperiodicity in polynomial semigroup dynamics ⋮ Powers in Orbits of Rational Functions: Cases of an Arithmetic Dynamical Mordell–Lang Conjecture ⋮ Rationality of dynamical canonical height ⋮ The dynamical Mordell-Lang problem for intersection of two orbits ⋮ On intersections of polynomial semigroups orbits with plane lines ⋮ A dynamical Mordell-Lang property on the disk
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