4 papers
Non-Archimedean Rigidity and Uniformity for Common Preperiodic Points
Chen Gong, Jit Wu Yap
Let be an algebraically closed, complete non-Archimedean field of residue characteristic . Let be a polynomial of degree at least over which does not have potent…
Non-Archimedean techniques and dynamical degenerations
Charles Favre, Chen Gong
We develop non-Archimedean techniques to analyze the degeneration of a sequence of rational maps of the complex projective line. We provide an alternative to Luo's method which was…
Generalized rescaling limits of a sequence of rational maps
Charles Favre, Chen Gong
We consider a sequence of complex rational maps (f_n) of a fixed degree d at least 2. Building on the seminal work of Kiwi, we introduce the notion of generalized rescaling limits.…
Multiplier scales of a sequence of rational maps
Chen Gong
We analyze the behavior of multipliers of a degenerating sequence of complex rational maps. We show either most periodic points have uniformly bounded multipliers, or most of them…