离散和的受控发散
Controlled Divergence of Discrepancy Sums
摘要：
提出了一个非正式的问题K。Park，我们表明，通过固定一些无理alpha具有特定的标准连分数展开，我们可以迫使[0，1）中所有x的相关差异序列，其跟踪x轨道中旋转alpha（模1）小于一半的值与大于一半的值之间的差异，以具有以指定速率增长的最大值。
英文摘要：
Answering an informal question of K. Park, we show that by fixing some irrational alpha to have a particular standard continued fraction expansion, we may force the associated discrepancy sequences for all x in [0,1), which track the difference between the number of values in the orbit of x under rotation by alpha (modulo one) less than one half versus the number larger than one half, to have maximal values which grow at a prescribed rate.
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。
