Dynamics of some 2-adic isometric transformations
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Publication:2032272
DOI10.1007/s40993-021-00271-zzbMath1469.11461OpenAlexW3170729860MaRDI QIDQ2032272
Publication date: 11 June 2021
Published in: Research in Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40993-021-00271-z
Dynamical aspects of measure-preserving transformations (37A05) 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 (2)
On ergodic transformations on the sphere of 2-adic units ⋮ On some classes of 1-Lipschitz measure-preserving ergodic functions on ℤp
Cites Work
- Characterization of ergodicity of \(p\)-adic dynamical systems by using the van der Put basis
- Toward the ergodicity of \(p\)-adic 1-Lipschitz functions represented by the van der Put series
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- van der Put basis and \(p\)-adic dynamics
- Digraph representations of rational functions over the \(p\)-adic numbers
- Uniformly distributed sequences of \(p\)-adic integers
- Notes on ergodic \(2\)-adic transformations
- Ergodic uniformly differentiable functions modulo \(p\) on \(\mathbb{Z}_p\)
- T-functions revisited: new criteria for bijectivity/transitivity
- Ergodic polynomials on subsets of \(p\)-adic integers
- Minimal polynomial dynamics on the set of 3-adic integers
- On some compatible functions on the set of 3-adic integers
- Mahler coefficients of uniformly differentiable functions modulo p
- Mahler coefficients of locally scaling transformations on $\mathbb{Z}_{p}$
- On the number of cycles of \(p\)-adic dynamical systems
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