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math.DS2022
Topological entropy of a rational map over a complete metrized field
Charles Favre, Tuyen Trung Truong, Junyi Xie
We prove that the topological entropy of any dominant rational self-map of a projective variety defined over a complete non-Archimedean field is bounded from above by the maximum o…
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…