- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 A singular function from Sturmian continued fractions J. Korean Math. Soc.Published online 2019 Feb 12 DoYong Kwon Chonnam National University Abstract : For $\alpha\geq1$, let $s_\alpha(n)=\lceil\alpha n \rceil - \lceil \alpha (n-1) \rceil$. A continued fraction $C(\alpha)=[0; s_\alpha(1), s_\alpha(2),\ldots]$ is considered and analyzed. Appealing to Diophantine approximation, we investigate the differentiability of $C(\alpha)$, and then show its singularity. Keywords : singular function, continued fraction, Diophantine approximation, Sturmian word MSC numbers : 26A30, 11A55, 11J04, 68R15 Full-Text :