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

DOI10.1016/j.ffa.2017.04.006zbMath1402.11142OpenAlexW2615075772MaRDI QIDQ2363333

Sangtae Jeong, Youngho Jang, Chunlan Li

Publication date: 13 July 2017

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2017.04.006

zbMATH Keywords

positive characteristicergodic1-Lipschitzvan der Put basismeasure-preservingCarlitz polynomialsdigit derivativesdigit shifts

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Polynomials over finite fields (11T06) Non-Archimedean dynamical systems (11S82) Dynamical systems over non-Archimedean local ground fields (37P20) Non-Archimedean analysis (32P05)

Related Items (3)

The p-adic Theory of Automata Functions ⋮ Ergodic functions over \(\mathbb{F}_q T\) ⋮ Ergodic functions over \(Z_p\)

Cites Work

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