Weak tangent and level sets of Takagi functions
Weak tangent and level sets of Takagi functions
Abstract In this paper, we study some properties of Takagi functions and their level sets. We show that for Takagi functions $$T_{a,b}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>T</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mo>,</mml:mo><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:math> with parameters a , b such that ab is a root of a Littlewood polynomial, there exist large level sets. As a consequence, we show that …