On the distribution of orbits in affine varieties

DOI10.1017/etds.2014.26zbMath1338.37133arXiv1401.3425OpenAlexW2086213183MaRDI QIDQ3192325

Clayton Petsche

Publication date: 12 October 2015

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.3425

zbMATH Keywords

Poincaré recurrenceBerkovich spacedynamical Mordell-Lang problem

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Rigid analytic geometry (14G22) Automorphisms of surfaces and higher-dimensional varieties (14J50) Arithmetic properties of periodic points (37P35) Arithmetic dynamics on general algebraic varieties (37P55) Dynamical systems on Berkovich spaces (37P50)

Related Items (6)

The dynamical Mordell-Lang conjecture in positive characteristic ⋮ A fusion variant of the classical and dynamical Mordell-Lang conjectures in positive characteristic ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Height gap conjectures, \(D\)-finiteness, and a weak dynamical Mordell-Lang conjecture ⋮ Rational dynamical systems, \(S\)-units, and \(D\)-finite power series ⋮ The dynamical Mordell-Lang problem for Noetherian spaces

Cites Work

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• Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Intersections of polynomial orbits, and a dynamical Mordell-Lang conjecture
• Poincaré recurrence and number theory
• A GENERALISED SKOLEM–MAHLER–LECH THEOREM FOR AFFINE VARIETIES

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