Minimality of 5-adic polynomial dynamics

Donggyun Kim; Youngwoo Kwon; Kyunghwan Song

doi:10.1080/14689367.2020.1748573

Minimality of 5-adic polynomial dynamics

Donggyun Kim
, Youngwoo Kwon
, Kyunghwan Song^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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 language	English
Pages (from-to)	584-596
Number of pages	13
Journal	Dynamical Systems
Volume	35
Issue number	4
DOIs	https://doi.org/10.1080/14689367.2020.1748573
Publication status	Published - 2020

Bibliographical note

Publisher Copyright:
© 2020 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

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

ASJC Scopus subject areas

General Mathematics
Computer Science Applications

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10.1080/14689367.2020.1748573

Cite this

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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.",

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AU - Song, Kyunghwan

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AB - 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.

KW - full-cycle

KW - minimal component

KW - minimality condition

KW - p-adic dynamical system

KW - p-adic polynomial

UR - https://www.scopus.com/pages/publications/85084840801

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DO - 10.1080/14689367.2020.1748573

M3 - Article

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ER -

Minimality of 5-adic polynomial dynamics

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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