On the number of cycles of \(p\)-adic dynamical systems

DOI10.1006/JNTH.2001.2665zbMath0994.11039OpenAlexW2051623275MaRDI QIDQ5950938

Marcus Nilsson, Andrei Yu. Khrennikov

Publication date: 2 January 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2665

zbMATH Keywords

\(p\)-adic numbersnumber of cyclesarithmetic dynamicsasymptotic mean valueiteration of monomial mappingsnumber of periodic orbits

Mathematics Subject Classification ID

Non-Archimedean dynamical systems (11S82) Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items (16)

Mahler coefficients of some 3-adic ergodic functions ⋮ \(p\)-adic dynamics and angle doubling ⋮ A polynomial \(p\)-adic dynamical system ⋮ The long-term behavior of the \(p\)-adic Sigmoid Beverton-Holt dynamical systems in the projective line \(\mathbb{P}^1 (\mathbb{Q}_p)\) ⋮ On measure-preserving functions over \(\mathbb Z_3\) ⋮ On minimal decomposition of \(p\)-adic polynomial dynamical systems ⋮ On the iteration of certain quadratic maps over GF(\(p\)). ⋮ Linearization in ultrametric dynamics in fields of characteristic zero -- equal characteristic case ⋮ On hyperbolic fixed points in ultrametric dynamics ⋮ Minimal subsystems of affine dynamics on local fields ⋮ On the number of equivalence classes of attracting dynamical systems ⋮ Dynamics of the square mapping on the ring of 𝑝-adic integers ⋮ Dynamics of some 2-adic isometric transformations ⋮ On lifting commutative dynamical systems ⋮ On the Dynamics of a Cubic p-adic Polynomial ⋮ On cubic equations over p-adic fields

Cites Work

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• p-adic quantum mechanics
• \(p\)-adic dynamical systems
• Attractors of random dynamical systems over \(p\)-adic numbers and a model of ``noisy cognitive processes.
• Representations of the Weyl group in spaces of square integrable functions with respect top-adic valued Gaussian distributions

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