Level sets of prevalent Weierstrass functions

Zoltán Buczolich, Antti Käenmäki, Balázs Maga

The $\alpha$-Weierstrass function is defined as $W_g^{\alpha ,b}(x)={\sum }_{k=0}^{\infty }{b}^{-\alpha k}g(b^{k}x)$, where $g$ is a Lipschitz function on the unit circle. For a prevalent $\alpha$-Weierstr…