17 citations · 59 across the 22 of their papers we have counts for
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math.CA2013
On the level sets of the Takagi-van der Waerden functions
Pieter C. Allaart
This paper examines the level sets of the continuous but nowhere differentiable functions \begin{equation*} f_r(x)=\sum_{n=0}^\infty r^{-n}ϕ(r^n x), \end{equation*} where is…
math.CA2013
Correction and strengthening of "How large are the level sets of the Takagi function?"
Pieter C. Allaart
The purpose of this note is to correct an error in an earlier paper by the author about the level sets of the Takagi function [Monatsh. Math. 167 (2012), 311-331 and arXiv:1102.161…
math.CA2013★ 1 cited
Hausdorff dimension of level sets of generalized Takagi functions
Pieter C. Allaart
This paper examines level sets of two families of continuous, nowhere differentiable functions (one a subfamily of the other) defined in terms of the "tent map". The well-known Tak…