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math.DS2022
Entire or rational maps with integer multipliers
Xavier Buff, Thomas Gauthier, Valentin Huguin +1
Let be the ring of integers of an imaginary quadratic field . Recently, Ji and Xie proved that every rational map $f \colon \widehat{\mathbb{C}} \rightarrow \w…
math.DS2022
When do two rational functions have locally biholomorphic Julia sets?
Romain Dujardin, Charles Favre, Thomas Gauthier
In this article we address the following question, whose interest was recently renewed by problems arising in arithmetic dynamics: under which conditions does there exist a local b…