Unicritical polynomial maps with rational multipliers

Huguin, Valentin

doi:10.1090/ecgd/359

Unicritical polynomial maps with rational multipliers
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by Valentin Huguin

Conform. Geom. Dyn. 25 (2021), 79-87

DOI: https://doi.org/10.1090/ecgd/359

Published electronically: June 30, 2021

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Abstract:

In this article, we prove that every unicritical polynomial map that has only rational multipliers is either a power map or a Chebyshev map. This provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers.

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