Closure of periodic points over a non-archimedean field

Liang Chung Hsia

doi:10.1112/S0024610700001447

Closure of periodic points over a non-archimedean field

Liang Chung Hsia^*

^*Corresponding author for this work

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

59 Citations (Scopus)

Abstract

The closure of the periodic points of rational maps over a non-archimedean field is studied. An analogue of Montel's theorem over non-archimedean fields is first proved. Then, it is shown that the (nonempty) Julia set of a rational map over a non-archimedean field is contained in the closure of the periodic points.

Original language	English
Pages (from-to)	685-700
Number of pages	16
Journal	Journal of the London Mathematical Society
Volume	62
Issue number	3
DOIs	https://doi.org/10.1112/S0024610700001447
Publication status	Published - 2000 Dec
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Closure of periodic points over a non-archimedean field",

abstract = "The closure of the periodic points of rational maps over a non-archimedean field is studied. An analogue of Montel's theorem over non-archimedean fields is first proved. Then, it is shown that the (nonempty) Julia set of a rational map over a non-archimedean field is contained in the closure of the periodic points.",

author = "Hsia, \{Liang Chung\}",

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AB - The closure of the periodic points of rational maps over a non-archimedean field is studied. An analogue of Montel's theorem over non-archimedean fields is first proved. Then, it is shown that the (nonempty) Julia set of a rational map over a non-archimedean field is contained in the closure of the periodic points.

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Closure of periodic points over a non-archimedean field

Abstract

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