p-adic interpolation of iterates

DOI10.1112/blms/bdu010zbMath1291.11135arXiv1307.5887OpenAlexW3102370213MaRDI QIDQ5419238

Bjorn Poonen

Publication date: 6 June 2014

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5887

zbMATH Keywords

iterateMahler series\(p\)-adic interpolationTate algebra

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving analytic and meromorphic maps (37P10)

Related Items (10)

𝑝-adic interpolation of orbits under rational maps ⋮ Properties of the Cremona group endowed with the Euclidean topology ⋮ Remarks on algebraic dynamics in positive characteristic ⋮ Uniform bounds for periods of endomorphisms of varieties ⋮ Examples of dynamical degree equals arithmetic degree ⋮ Evidence for the Dynamical Brauer–Manin Criterion ⋮ Volume and symplectic structure for \(\ell\)-adic local systems ⋮ Arithmetic representations of fundamental groups. II: Finiteness ⋮ The existence of Zariski dense orbits for polynomial endomorphisms of the affine plane ⋮ Three chapters on Cremona groups

Cites Work

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• A case of the dynamical Mordell-Lang conjecture
• Periodic points, linearizing maps, and the dynamical Mordell-Lang problem
• Periods of rational maps modulo primes
• A note on recurring series
• The dynamical Mordell-Lang problem for etale maps
• An Interpolation Series for Continuous Functions of a p-adic Variable.
• A generalised Skolem-Mahler-Lech theorem for affine varieties
• A GENERALISED SKOLEM–MAHLER–LECH THEOREM FOR AFFINE VARIETIES

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