Dynamic structures of p-adic monomials for small primes p

Myunghyun Jung, Donggyun Kim

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We study the dynamic structures of the monomial xm over the ring of p-adic integers for every positive integer m and for primes p=2,3 and 5. The dynamic structures are described by investigating minimal decompositions which consist of periodic points, minimal subsystems and attracting basins.

    Original languageEnglish
    Pages (from-to)155-183
    Number of pages29
    JournalJournal of Number Theory
    Volume211
    DOIs
    Publication statusPublished - 2020 Jun

    Bibliographical note

    Publisher Copyright:
    © 2019 Elsevier Inc.

    Keywords

    • Minimal decomposition
    • p-adic dynamical system
    • p-adic monomial

    ASJC Scopus subject areas

    • Algebra and Number Theory

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