Dynamic structures of p-adic monomials for small primes p

Myunghyun Jung; Donggyun Kim

doi:10.1016/j.jnt.2019.10.001

Dynamic structures of p-adic monomials for small primes p

Myunghyun Jung, Donggyun Kim

Department of Mathematics

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

Abstract

We study the dynamic structures of the monomial x^m 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 language	English
Pages (from-to)	155-183
Number of pages	29
Journal	Journal of Number Theory
Volume	211
DOIs	https://doi.org/10.1016/j.jnt.2019.10.001
Publication status	Published - 2020 Jun

Keywords

Minimal decomposition
p-adic dynamical system
p-adic monomial

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jnt.2019.10.001

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title = "Dynamic structures of p-adic monomials for small primes p",

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.",

keywords = "Minimal decomposition, p-adic dynamical system, p-adic monomial",

author = "Myunghyun Jung and Donggyun Kim",

note = "Funding Information: We would like to thank the referee of this paper for his/her careful reading, corrections and suggestions which improved the presentation of this paper. Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2020",

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AU - Kim, Donggyun

N1 - Funding Information: We would like to thank the referee of this paper for his/her careful reading, corrections and suggestions which improved the presentation of this paper. Publisher Copyright: © 2019 Elsevier Inc.

PY - 2020/6

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N2 - 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.

AB - 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.

KW - Minimal decomposition

KW - p-adic dynamical system

KW - p-adic monomial

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JO - Journal of Number Theory

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Dynamic structures of p-adic monomials for small primes p

Abstract

Keywords

ASJC Scopus subject areas

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