Ergodic functions over \(\mathbb{F}_q [[T]]\)

DOI10.1016/j.ffa.2018.06.004zbMath1425.37058OpenAlexW2811421917MaRDI QIDQ1654502

Zifeng Yang

Publication date: 8 August 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.06.004

zbMATH Keywords

function fieldsergodic functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Dynamical systems over finite ground fields (37P25)

Related Items (3)

The p-adic Theory of Automata Functions ⋮ Unnamed Item ⋮ Ergodic functions over \(Z_p\)

Cites Work

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• 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
• 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
• Criteria of measure-preservation for 1-Lipschitz functions on \(\mathbb F_qT\) in terms of the van der Put basis and its applications
• van der Put basis and \(p\)-adic dynamics
• Automata finiteness criterion in terms of van der Put series of automata functions
• Uniformly distributed sequences of \(p\)-adic integers
• 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 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
• Minimal polynomial dynamics on the set of 3-adic integers
• Fast Evaluation of T-Functions via Time-Memory Trade-Offs

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