On dynamics of infinitely generated contractive mapping systems on \(p \mathbb{Z}_p\)

DOI10.1007/s10114-020-8451-0zbMath1450.37008OpenAlexW3035087681MaRDI QIDQ2194735

Jing Hua Yang, Yunpeng Xiao

Publication date: 7 September 2020

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-8451-0

zbMATH Keywords

ergodicitylimit setscontractive maps\(p\)-adic continued fractions

Mathematics Subject Classification ID

Fractals (28A80) Dynamical systems over non-Archimedean local ground fields (37P20) Relations between ergodic theory and number theory (37A44) Tiling dynamics (37B52)

Cites Work

• \(p\)-adic continued fractions
• \(p\)-adic repellers in \(\mathbb Q_p\) are subshifts of finite type
• Comparing the effectiveness of two kinds of continued fractions
• On metric properties of limit sets of contractive analytic non-Archimedean dynamical systems
• Vergleich der Genauigkeit von Dezimalbruch und Kettenbruch
• Some metric properties of p-adic numbers
• On measure-preserving $\mathcal {C}^1$ transformations of compact-open subsets of non-archimedean local fields
• On metric properties of unconventional limit sets of contractive non-Archimedean dynamical systems
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