球树上的动力学
Dynamics on Trees of Spheres
摘要：
我们引入了动态标记的理性映射的概念。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。为了处理这些问题，我们引入了动态覆盖的概念之间的树木的领域，周期球对应于一个重新缩放的限制。然后我们恢复Jan Kiwi关于重新缩放限制的结果。
英文摘要：
We introduce the notion of dynamically marked rational maps. 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 order to deal with those, we introduce the notion of dynamical covers between trees of spheres for which a periodic sphere corresponds to a rescaling limit. We then recover results of Jan Kiwi regarding rescaling limits.
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