17 citations · 59 across the 22 of their papers we have counts for
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math.CA2011★ 6 cited
The Takagi function: a survey
Pieter Allaart, Kiko Kawamura
This paper sketches the history of the Takagi function T and surveys known properties of T, including its nowhere-differentiability, modulus of continuity, graphical properties and…
math.CA2011★ 5 cited
On the distribution of the cardinalities of level sets of the Takagi function
Pieter C. Allaart
Let T be Takagi's continuous but nowhere-differentiable function. It is known that almost all level sets (with respect to Lebesgue measure on the range of T) are finite. We show th…
math.CA2011★ 6 cited
How large are the level sets of the Takagi function?
Pieter C. Allaart
Let T be Takagi's continuous but nowhere-differentiable function. This paper considers the size of the level sets of T both from a probabilistic point of view and from the perspect…