Kyoto Journal of Mathematics

Polynomial skew products whose Julia sets have infinitely many symmetries

Kohei Ueno

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Abstract

We consider symmetries of Julia sets of polynomial skew products on C2, which are birationally conjugate to rotational products. Our main result gives the classification of the polynomial skew products whose Julia sets have infinitely many symmetries.

Article information

Source
Kyoto J. Math., Volume 60, Number 2 (2020), 451-471.

Dates
Received: 3 June 2013
Revised: 9 February 2017
Accepted: 16 November 2017
First available in Project Euclid: 23 January 2020

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1579748472

Digital Object Identifier
doi:10.1215/21562261-2019-0040

Mathematical Reviews number (MathSciNet)
MR4094740

Zentralblatt MATH identifier
07223241

Subjects
Primary: 32H50: Iteration problems
Secondary: 37C80: Symmetries, equivariant dynamical systems

Keywords
polynomial skew product Julia set symmetry fiberwise Green function fiberwise Böttcher function

Citation

Ueno, Kohei. Polynomial skew products whose Julia sets have infinitely many symmetries. Kyoto J. Math. 60 (2020), no. 2, 451--471. doi:10.1215/21562261-2019-0040. https://projecteuclid.org/euclid.kjm/1579748472


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References

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