论文标题
Hurwitz Complex的极端价值理论持续分数
Extreme Value Theory for Hurwitz Complex Continued Fractions
论文作者
论文摘要
Hurwitz复合物的持续分数是最近整数持续分数的概括。在本文中，我们证明了有关Hurwitz复合物模量极端的各种结果。这包括一项泊松法和极端价值法。结果基于对哪些信息仍然有限的不变度量的尖端估计。在此过程中，我们还获得了有关最近整数的极端持续分数的几个结果。
The Hurwitz complex continued fraction is a generalization of the nearest integer continued fraction. In this paper we prove various results concerning extremes of the modulus of Hurwitz complex continued fraction digits. This includes a Poisson law and an extreme value law. The results are based on cusp estimates of the invariant measure about which information is still limited. In the process, we get several results concerning extremes of nearest integer continued fractions as well.
