3 papers
math.DS2022
Rational maps with rational multipliers
Valentin Huguin
In this article, we show that every rational map whose multipliers all lie in a given number field is a power map, a Chebyshev map or a Lattès map. This strengthens a conjecture by…
math.DS2021
Quadratic rational maps with integer multipliers
Valentin Huguin
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 o…
math.DS2020
Unicritical polynomial maps with rational multipliers
Valentin Huguin
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…