The Takagi Function and Its Properties
Classical Analysis and ODEs
2013-04-23 v2 Number Theory
Abstract
The Takagi function is a continuous non-differentiable function on [0,1] introduced by Teiji Takagi in 1903. It has since appeared in a surprising number of different mathematical contexts, including mathematical analysis, probability theory and number theory. This paper surveys the known properties of this function as it relates to these fields.
Cite
@article{arxiv.1112.4205,
title = {The Takagi Function and Its Properties},
author = {Jeffrey C. Lagarias},
journal= {arXiv preprint arXiv:1112.4205},
year = {2013}
}
Comments
32 pages, 4 figures