On two affine-like dynamical systems in a local field

DOI10.1016/j.jnt.2012.05.011zbMath1273.37046OpenAlexW2084724161MaRDI QIDQ455800

Youssef Fares, David Adam

Publication date: 22 October 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.05.011

zbMATH Keywords

dynamical systemCarlitz modulelocal fieldminimal subset

Mathematics Subject Classification ID

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

Related Items (2)

Some results on the Flynn–Poonen–Schaefer conjecture ⋮ 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

Cites Work

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• Minimal subsystems of affine dynamics on local fields
• Factorial preservation
• Dynamics of quadratic polynomials over local fields
• Minimal dynamical systems on a discrete valuation domain

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