On backward stability of holomorphic dynamical systems
On backward stability of holomorphic dynamical systems
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作者：
G. Levin
对于一个具有一个临界点（可能是多个）且不具有吸引轨道或中性周期轨道的多项式，我们证明了在Julia集局部连通的情况下，后向动力学是稳定的。证明了后者等价于Julia集合中不存在游荡连续体，或等价于Yoccoz拼图缩为点。
For a polynomial with one critical point (maybe multiple), which does not have attracting or neutral periodic orbits, we prove that the backward dynamics is stable provided the Julia set is locally connected. The latter is proved to be equivalent to the non-existence of a wandering continuum in the Julia set or to the shrinking of Yoccoz puzzle-pieces to points.