后奇异有界指数映射的排斥周期点与射线着陆
Repelling periodic points and landing of rays for post-singularly bounded exponential maps
摘要：
证明了对于奇异值具有有界轨道的指数映射，排斥周期点是周期射线的着陆点。对于具有连通朱利亚集的多项式，这是Douady的一个著名定理，我们给出了一个新的证明.在这两种情况下，我们还表明，双曲集的点是可访问的至少一个和最多的1000条射线。对于指数，这使我们能够得出结论，奇异值本身是可访问的。
英文摘要：
We show that repelling periodic points are landing points of periodic rays for exponential maps whose singular value has bounded orbit. For polynomials with connected Julia sets, this is a celebrated theorem by Douady, for which we present a new proof. In both cases we also show that points in hyperbolic sets are accessible by at least one and at most finitely many rays. For exponentials this allows us to conclude that the singular value itself is accessible.
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