在小块中缓慢逃逸
Slow escape in tracts
摘要：
设$f$是一个超越整函数.根据Rippon和Stallard的结果，存在轨道逃逸任意慢的点。通过使用一系列的技术来证明新的覆盖结果，我们扩展了他们的定理，证明存在的点逃逸任意缓慢的对数道和道具有一定的边界性质。然后，我们给出的例子来说明我们的结果在各种大片。
英文摘要：
Let $f$ be a transcendental entire function. By a result of Rippon and Stallard, there exist points whose orbit escapes arbitrarily slowly. By using a range of techniques to prove new covering results, we extend their theorem to prove the existence of points which escape arbitrarily slowly within logarithmic tracts and tracts with certain boundary properties. We then give examples to illustrate our results in a variety of tracts.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
