Topological cubic polynomials with one periodic ramification point

Matthieu Arfeux; Jan Kiwi

doi:10.3934/dcds.2020094

Topological cubic polynomials with one periodic ramification point

Matthieu Arfeux, Jan Kiwi

INSTITUTE OF MATHEMATICS

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

2 Scopus citations

Abstract

For n ≥ 1, consider the space of afine conjugacy classes of topo-logical cubic polynomials f : C → C with a period n ramification point. It is shown that this space is a connected topological space.

Original language	English
Pages (from-to)	1799-1811
Number of pages	13
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	40
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2020094
State	Published - 2020

Keywords

Cubic polynomials
Periodic curves
Topological polynomials

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10.3934/dcds.2020094

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abstract = "For n ≥ 1, consider the space of afine conjugacy classes of topo-logical cubic polynomials f : C → C with a period n ramification point. It is shown that this space is a connected topological space.",

keywords = "Cubic polynomials, Periodic curves, Topological polynomials",

author = "Matthieu Arfeux and Jan Kiwi",

year = "2020",

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journal = "Discrete and Continuous Dynamical Systems- Series A",

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AU - Arfeux, Matthieu

AU - Kiwi, Jan

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KW - Cubic polynomials

KW - Periodic curves

KW - Topological polynomials

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Topological cubic polynomials with one periodic ramification point

Abstract

Keywords

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