Minimality of 5-adic polynomial dynamics

Donggyun Kim, Youngwoo Kwon, Kyunghwan Song

Research output: Contribution to journalArticle

Abstract

We study the dynamical systems consisting of the set of 5-adic integers (Formula presented.) and polynomial maps from (Formula presented.) into itself. A polynomial map decomposes the set (Formula presented.) into minimal components, which is usually countably infinite. We characterize the polynomials in terms of coefficients which has the only one minimal components, that is, the whole set (Formula presented.) is the minimal component under the polynomials.

Original languageEnglish
JournalDynamical Systems
DOIs
Publication statusAccepted/In press - 2020

Keywords

  • full-cycle
  • minimal component
  • minimality condition
  • p-adic dynamical system
  • p-adic polynomial

ASJC Scopus subject areas

  • Mathematics(all)
  • Computer Science Applications

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