Digraph representations of rational functions over the \(p\)-adic numbers

DOI10.1134/S2070046611010031zbMath1259.37065arXiv0909.4130OpenAlexW2051333176MaRDI QIDQ1760251

Cesar E. Silva, Hansheng Diao

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4130

zbMATH Keywords

\(p\)-adic dynamicsergodicminimallocally scaling

Mathematics Subject Classification ID

Related Items (20)

Chaos in p-adic Statistical Lattice Models: Potts Model ⋮ Ergodic polynomials on subsets of \(p\)-adic integers ⋮ Chaotic behavior of the p-adic Potts–Bethe mapping II ⋮ Ergodic Products and Powers on Compact Subsets of the $p$-adic Field ⋮ Chaotic behavior of the \(p\)-adic Potts-Bethe mapping ⋮ Dynamical systems of the \(p\)-adic (2, 2)-rational functions with two fixed points ⋮ The \(p\)-adic Ising model in an external field on a Cayley tree: periodic Gibbs measures ⋮ A note on the perturbed monomial mapping ⋮ \(p\)-adic dynamical systems of (2,2)-rational functions with unique fixed point ⋮ On minimal decomposition of \(p\)-adic homographic dynamical systems ⋮ Orbit equivalence of \(p\)-adic transformations and their iterates ⋮ \(p\)-adic dynamical systems of \((3,1)\)-rational functions with unique fixed point ⋮ Notes on ergodic \(2\)-adic transformations ⋮ Minimal subsystems of affine dynamics on local fields ⋮ Dynamics of some 2-adic isometric transformations ⋮ Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\) ⋮ 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 ⋮ Characterization of ergodic rational functions on the set of 2-adic units ⋮ On some classes of 1-Lipschitz measure-preserving ergodic functions on ℤp

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• Ergodische Eigenschaften der Automorphismen p-adischer Zahlen
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• Applied algebraic dynamics
• On measure-preserving $\mathcal {C}^1$ transformations of compact-open subsets of non-archimedean local fields
• ON ERGODIC BEHAVIOR OF p-ADIC DYNAMICAL SYSTEMS
• Ergodic Transformations in the Space of p-Adic Integers
• Measurable Dynamics of Simple p-adic Polynomials

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