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

Department of Mathematics

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

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
Journal	Dynamical Systems
DOIs	https://doi.org/10.1080/14689367.2020.1748573
Publication status	Accepted/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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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.",

keywords = "full-cycle, minimal component, minimality condition, p-adic dynamical system, p-adic polynomial",

author = "Donggyun Kim and Youngwoo Kwon and Kyunghwan Song",

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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.

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KW - minimal component

KW - minimality condition

KW - p-adic dynamical system

KW - p-adic polynomial

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Minimality of 5-adic polynomial dynamics

Abstract

Keywords

ASJC Scopus subject areas

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