Continued Fractions and the Gauss Map

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Keith Tognetti¹  Martin Bunder¹  Bruce Bates¹ 

[1] University of Wollongong

关键词: Gauss Map;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

We discover properties of the Gauss Map and its iterates using continued fractions. In particular, we find all fixed points and show that the graph of an iterate over [0,1/2] is symmetric to the graph of the next higher iterate over [1/2,1].

【 授权许可】

Unknown