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Minimality of 5-adic polynomial dynamics
- Authors
- Kim, Donggyun; Kwon, Youngwoo; Song, Kyunghwan
- Issue Date
- 1-10월-2020
- Publisher
- TAYLOR & FRANCIS LTD
- Keywords
- p-adic polynomial; p-adic dynamical system; full-cycle; minimal component; minimality condition
- Citation
- DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, v.35, no.4, pp.584 - 596
- Indexed
- SCIE
SCOPUS
- Journal Title
- DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
- Volume
- 35
- Number
- 4
- Start Page
- 584
- End Page
- 596
- ISSN
- 1468-9367
- Abstract
- We study the dynamical systems consisting of the set of 5-adic integers and polynomial maps from into itself. A polynomial map decomposes the set 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 is the minimal component under the polynomials.
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