Ergodic functions over \(Z_p\)
From MaRDI portal
Publication:2055953
DOI10.1016/j.jnt.2021.01.026zbMath1484.37122OpenAlexW3171869632WikidataQ112881944 ScholiaQ112881944MaRDI QIDQ2055953
Publication date: 1 December 2021
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2021.01.026
Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Non-Archimedean dynamical systems (11S82) Dynamical systems over non-Archimedean local ground fields (37P20) Relations between ergodic theory and number theory (37A44)
Related Items
On ergodic transformations on the sphere of 2-adic units, Unnamed Item, Minimality criteria for convergent power series over Zp and rational maps with good reduction on the projective line over Qp
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Criteria of ergodicity for \(p\)-adic dynamical systems in terms of coordinate functions
- Ergodicity criteria for non-expanding transformations of 2-adic spheres
- Ergodic theory over \(\mathbb F_2 T\)
- Measure-preservation criteria for a certain class of 1-Lipschitz functions on \(\mathbb Z_p\) in Mahler's expansion
- On minimal decomposition of \(p\)-adic polynomial dynamical systems
- Toward the ergodicity of \(p\)-adic 1-Lipschitz functions represented by the van der Put series
- Criteria of measure-preservation for 1-Lipschitz functions on \(\mathbb F_qT\) in terms of the van der Put basis and its applications
- Minimal dynamical systems on a discrete valuation domain
- Ergodic functions over \(\mathbb{F}_q T\)
- Automata finiteness criterion in terms of van der Put series of automata functions
- Uniformly distributed sequences of \(p\)-adic integers
- Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis
- The non-Archimedean theory of discrete systems
- Characterization of the ergodicity of 1-Lipschitz functions on \(\mathbb{Z}_2\) using the \(q\)-Mahler basis
- Measure-preservation and the existence of a root of \(p\)-adic 1-Lipschitz functions in Mahler's expansion
- Measure-preservation criteria for 1-Lipschitz functions on \(\mathbb F_{q}T\) in terms of the three bases of Carlitz polynomials, digit derivatives, and digit shifts
- Applied algebraic dynamics
- T-functions revisited: new criteria for bijectivity/transitivity
- Ergodicity conditions on the group of 3-adic integers
- An Interpolation Series for Continuous Functions of a p-adic Variable.
- Mahler coefficients of 1-Lipschitz measure-preserving functions on ℤp
- Minimal polynomial dynamics on the set of 3-adic integers
- Subcoordinate representation of $p$-adic functions and generalization of Hensel's lemma
- Transitive polynomial transformations of residue class rings
- Fast Evaluation of T-Functions via Time-Memory Trade-Offs
- Minimality of 5-adic polynomial dynamics
- Digit permutations revisited
- Ergodic Transformations in the Space of p-Adic Integers
- Interpolation $p$-adique
- Permutation polynomials modulo \(2^w\)
