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Mathematics > Dynamical Systems
Title: Quadratic rational maps with integer multipliers
(Submitted on 15 Jul 2021)
Abstract: In this article, we prove that every quadratic rational map whose multipliers all lie in the ring of integers of a given imaginary quadratic field is a power map, a Chebyshev map or a Latt\`{e}s map. In particular, this provides some evidence in support of a conjecture by Milnor concerning rational maps whose multipliers are all integers.
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