Minimal subsystems of affine dynamics on local fields

DOI10.1007/s00013-011-0245-2zbMath1214.11134OpenAlexW2044917884MaRDI QIDQ543296

Youssef Fares, Ai-Hua Fan

Publication date: 17 June 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0245-2

zbMATH Keywords

dynamical systemlocal field

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items (6)

On the dynamics of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>ϕ</mml:mi><mml:mo>:</mml:mo><mml:mi>x</mml:mi><mml:mo>→</mml:mo><mml:msup><mml:mi>x</mml:mi> <mml:mi>p</mml:mi> </mml:msup><mml:mo>+</mml:mo><mml:mi>a</mml:mi></mml:mrow></mml:math> in a local field ⋮ On minimal decomposition of \(p\)-adic polynomial dynamical systems ⋮ On two affine-like dynamical systems in a local field ⋮ On minimal decomposition of \(p\)-adic homographic dynamical systems ⋮ Sets of minimality of \((1 - 1)\)-rational functions ⋮ Minimality criteria for convergent power series over Z_p and rational maps with good reduction on the projective line over Q_p

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On minimal decomposition of \(p\)-adic polynomial dynamical systems
• Measurable dynamics of maps on profinite groups
• Minimal dynamical systems on a discrete valuation domain
• Non-linear similarity
• Number theory and physics. Proceedings of the winter school, Les Houches, France, March 7--16, 1989
• Ergodische Eigenschaften der Automorphismen p-adischer Zahlen
• Digraph representations of rational functions over the \(p\)-adic numbers
• Nonlinear similarity of matrices
• Linear algebra and topology
• ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS
• Nonlinear similarity and differentiability
• p -adic subsets whose factorials satisfy a generalized Legendre formula
• Ergodic Transformations in the Space of p-Adic Integers
• Measurable Dynamics of Simple p-adic Polynomials
• Topological classification of linear endomorphisms
• On the number of cycles of \(p\)-adic dynamical systems

This page was built for publication: Minimal subsystems of affine dynamics on local fields