缩小目标的迭代算法：Kurzweil定理的推广
Shrinking targets for IETs: Extending a theorem of Kurzweil
摘要：
本文证明了ICP-AES的缩标结果。令{a_1 \geq a_2 \geq.}是一个正实数序列，其和是发散的。则对几乎每一个IET T，B（T^ix，a_i）的limsup具有完全的勒贝格测度（其中B（z，e）是半径为e的围绕z的开球）.建立了相关的结果，包括平移曲面上测地流的类似结果。
英文摘要：
This paper proves shrinking target results for IETs. Let {a_1\geq a_2 \geq...} be a sequence of positive real numbers with divergent sum. Then for almost every IET T, the limsup of B(T^ix,a_i) has full Lebesgue measure (where B(z, e) is the open ball around z of radius e). Related results are established including the analogous result for geodesic flows on a translation surface.
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。
