A gap principle for dynamics

DOI10.1112/S0010437X09004667zbMath1209.37115arXiv0810.1086OpenAlexW2130357412MaRDI QIDQ3577320

Pär Kurlberg, Robert L. Benedetto, Thomas J. Tucker, Dragos Ghioca

Publication date: 22 July 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1086

zbMATH Keywords

\(p\)-adic dynamicsMordell-Lang conjecture

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Global ground fields in algebraic geometry (14G25) Arithmetic dynamics on general algebraic varieties (37P55)

Related Items (10)

Reductions modulo primes of systems of polynomial equations and algebraic dynamical systems ⋮ Orbits of Algebraic Dynamical Systems in Subgroups and Subfields ⋮ A Gap Principle for Subvarieties with Finitely Many Periodic Points ⋮ Unlikely intersections on the \(p\)-adic formal ball ⋮ Monomial maps on and their arithmetic dynamics ⋮ A case of the dynamical Mordell-Lang conjecture ⋮ The dynamical Mordell-Lang problem for Noetherian spaces ⋮ On semigroup orbits of polynomials in multiplicative subgroups ⋮ On intersections of polynomial semigroups orbits with plane lines ⋮ Integral points and relative sizes of coordinates of orbits in \(\mathbb P^N\)

Cites Work

• Géométrie et suites récurrentes

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