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
Journal	Journal of Number Theory
DOIs	https://doi.org/10.1016/j.jnt.2019.10.001
Publication status	Accepted/In press - 2019

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 = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

doi = "10.1016/j.jnt.2019.10.001",

language = "English",

journal = "Journal of Number Theory",

issn = "0022-314X",

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AU - Kim, Donggyun

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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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U2 - 10.1016/j.jnt.2019.10.001

DO - 10.1016/j.jnt.2019.10.001

M3 - Article

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JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

ER -

Dynamic structures of p-adic monomials for small primes p

Abstract

Keywords

ASJC Scopus subject areas

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