ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS

DOI10.1142/S0219025701000632zbMath1040.37005arXiv0806.0260MaRDI QIDQ4460466

Gundlach, Volker Matthias, Andrei Yu. Khrennikov, Karl-Olof Lindahl

Publication date: 18 May 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.0260

zbMATH Keywords

ergodicitymonomial dynamical systems over \(p\)-adic numbers

Mathematics Subject Classification ID

Algebraic number theory: local fields (11S99) Low-dimensional dynamical systems (37E99) Dynamical systems over complex numbers (37F99)

Related Items (26)

On a class of rational \(p\)-adic dynamical systems ⋮ Ergodic polynomials on subsets of \(p\)-adic integers ⋮ Ergodic Products and Powers on Compact Subsets of the $p$-adic Field ⋮ Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions ⋮ A polynomial \(p\)-adic dynamical system ⋮ Ergodicity criteria for non-expanding transformations of 2-adic spheres ⋮ The long-term behavior of the \(p\)-adic Sigmoid Beverton-Holt dynamical systems in the projective line \(\mathbb{P}^1 (\mathbb{Q}_p)\) ⋮ A note on the perturbed monomial mapping ⋮ On ergodic transformations on the sphere of 2-adic units ⋮ ON A GENERALIZED SELF-SIMILARITY IN THE p-ADIC FIELD ⋮ Ergodicity of dynamical systems on 2-adic spheres ⋮ On measure-preserving functions over \(\mathbb Z_3\) ⋮ On Chaos of a Cubic p-adic Dynamical System ⋮ On minimal decomposition of \(p\)-adic polynomial dynamical systems ⋮ On some compatible functions on the set of 3-adic integers ⋮ Orbit equivalence of \(p\)-adic transformations and their iterates ⋮ Measurable dynamics of maps on profinite groups ⋮ On the chaotic behavior of a generalized logistic \(p\)-adic dynamical system ⋮ Minimality of \(p\)-adic rational maps with good reduction ⋮ Digraph representations of rational functions over the \(p\)-adic numbers ⋮ Minimal subsystems of affine dynamics on local fields ⋮ On recent results of ergodic property for \(p\)-adic dynamical systems ⋮ Noncommutative algebraic dynamics: ergodic theory for profinite groups ⋮ On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems ⋮ Dynamics of convergent power series on the integral ring of a finite extension of \(\mathbb{Q}_p\) ⋮ On perturbed monomials on 2-adic spheres around 1

Cites Work

• \(p\)-adic dynamical systems
• Attractors of random dynamical systems over \(p\)-adic numbers and a model of ``noisy cognitive processes.
• Limit-(quasi)periodic point sets as quasicrystals withp-adic internal spaces

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