迭代最小模与Baker和Eremenko定理
The iterated minimum modulus and conjectures of Baker and Eremenko
摘要：
在超越动力学中，通过研究其迭代至少与最大模的迭代一样快地逃逸到无穷远的点，已经取得了重大进展。在这里，我们采取了新的方法，研究点的迭代逃逸至少一样快的迭代{ \it最小}模，并获得有关的Eremenko猜想和Baker猜想，并在Baker域的逃逸率的新结果。要做到这一点，我们证明了一个结果，更广泛的利益有关的存在下，逃逸到无穷大的一个积极的连续函数的迭代点。
英文摘要：
In transcendental dynamics significant progress has been made by studying points whose iterates escape to infinity at least as fast as iterates of the maximum modulus. Here we take the novel approach of studying points whose iterates escape at least as fast as iterates of the {\it minimum} modulus, and obtain new results related to Eremenko's conjecture and Baker's conjecture, and the rate of escape in Baker domains. To do this we prove a result of wider interest concerning the existence of points that escape to infinity under the iteration of a positive continuous function.
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