球树间动力系统的可逼近性
Approximability of dynamical systems between trees of spheres
摘要：
研究了在模空间中发散的有理映射的解析共轭类序列。特别是，我们感兴趣的是由Jan Kiwi介绍的重新缩放限制的概念。在[A1]的连续性中，我们回忆起球树之间的动态覆盖的概念，其中周期球对应于重新缩放极限。研究了这样的动力覆盖成为动力标记有理映射极限的必要条件。有了这些条件，我们将它们分类的情况下，双临界地图，我们恢复的第二个主要结果，杨猕猴桃关于重新标度限制。
英文摘要：
We study sequences of analytic conjugacy classes of rational maps which diverge in moduli space. In particular, we are interested in the notion of rescaling limits introduced by Jan Kiwi. In the continuity of [A1] we recall the notion of dynamical covers between trees of spheres for which a periodic sphere corresponds to a rescaling limit. We study necessary conditions for such a dynamical cover to be the limit of dynamically marked rational maps. With these conditions we classify them for the case of bicritical maps and we recover the second main result of Jan Kiwi regarding rescaling limits.
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