Extreme Value Theory for Hurwitz Complex Continued Fractions

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 o...

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Bibliographic Details
Main Author: Maxim Sølund Kirsebom
Format: Article
Language:English
Published: MDPI AG 2021-06-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/23/7/840