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math.NT2022★ 2 cited
Dynamique analytique sur . II : Écart uniforme entre Lattès et conjecture de Bogomolov-Fu-Tschinkel
Jérôme Poineau
We prove that the mutual energy (or the intersection product in the sense of Arakelov theory) of two dynamical systems associated to Lattès morphisms over is unif…
math.DS2022★ 2 cited
Dynamique analytique sur . I : Mesures d'équilibre sur une droite projective relative
Jérôme Poineau
Consider a Berkovich space over a good Banach ring and the relative projective line over it. (It is a space whose fibers are projective lines over different complete valued fields.…