Minimality of 5-adic polynomial dynamics

DOI10.1080/14689367.2020.1748573zbMath1467.37096OpenAlexW3015153518MaRDI QIDQ4988832

Kyunghwan Song, Youngwoo Kwon, Donggyun Kim

Publication date: 19 May 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2020.1748573

zbMATH Keywords

minimal component\(p\)-adic dynamical systemminimality condition\(p\)-adic polynomialfull-cycle

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05)

Related Items (3)

Ergodic functions over \(Z_p\) ⋮ Minimality criteria for convergent power series over Z_p and rational maps with good reduction on the projective line over Q_p ⋮ On some classes of 1-Lipschitz measure-preserving ergodic functions on ℤp

Cites Work

• Unnamed Item
• On minimal decomposition of \(p\)-adic polynomial dynamical systems
• Toward the ergodicity of \(p\)-adic 1-Lipschitz functions represented by the van der Put series
• Strict ergodicity of affine \(p\)-adic dynamical systems on \(\mathbb Z_p\)
• On minimal decomposition of \(p\)-adic homographic dynamical systems
• Dynamics of the square mapping on the ring of 𝑝-adic integers
• Minimal polynomial dynamics on the set of 3-adic integers
• Transitive polynomial transformations of residue class rings
• Measurable Dynamics of Simple p-adic Polynomials

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