## Kyoto Journal of Mathematics

### Polynomial skew products whose Julia sets have infinitely many symmetries

Kohei Ueno

#### Abstract

We consider symmetries of Julia sets of polynomial skew products on $\mathbb{C}^{2}$, 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
Revised: 9 February 2017
Accepted: 16 November 2017
First available in Project Euclid: 23 January 2020

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

#### 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

#### References

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