具有中性不动点的二次多项式的典型轨道：Brjuno型
Typical orbits of quadratic polynomials with a neutral fixed point: Brjuno type
摘要：
本文描述了高返回型复二次多项式P_alpha（z）= e ^{2 π i alpha} z + z^2的典型轨道的拓扑性质.在这里，我们证明了这种Brjuno值的α封闭的临界轨道，这是测量理论吸引的地图，具有零面积。然后结合第一部分的工作，证明了朱利亚集中典型点的轨道的极限集等于临界轨道的闭包。
英文摘要：
We describe the topological behavior of typical orbits of complex quadratic polynomials P_alpha(z)=e^{2πi alpha} z+z^2, with alpha of high return type. Here we prove that for such Brjuno values of alpha the closure of the critical orbit, which is the measure theoretic attractor of the map, has zero area. Then combining with Part I of this work, we show that the limit set of the orbit of a typical point in the Julia set is equal to the closure of the critical orbit.
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