Characterization of ergodicity of \(T\)-adic maps on \(\mathbb F_2[[ T ]]\) using digit derivatives basis

DOI10.1016/j.jnt.2012.11.009zbMath1263.37090OpenAlexW2089245413MaRDI QIDQ1946708

Sangtae Jeong

Publication date: 15 April 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.11.009

zbMATH Keywords

function fields1-LipschitzCarlitz polynomialsdigit derivativesergodic functions

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Dynamical aspects of measure-preserving transformations (37A05) Cryptography (94A60) Data encryption (aspects in computer science) (68P25) Dynamical systems over non-Archimedean local ground fields (37P20) Non-Archimedean analysis (32P05)

Related Items (7)

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 ⋮ Criteria of measure-preservation for 1-Lipschitz functions on \(\mathbb F_qT\) in terms of the van der Put basis and its applications ⋮ Measure-preservation criteria for a certain class of 1-Lipschitz functions on \(\mathbb Z_p\) in Mahler's expansion ⋮ Characterization of the ergodicity of 1-Lipschitz functions on \(\mathbb{Z}_2\) using the \(q\)-Mahler basis ⋮ Shift operators and two applications to \(\mathbb{F}_qT\) ⋮ Unnamed Item ⋮ Toward the ergodicity of \(p\)-adic 1-Lipschitz functions represented by the van der Put series

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