Slow points for functions in the Zygmund class \(\Lambda^*_d\) (Q2371931)

By using probabilistic methods, the authors find the exact Hausdorff measure function and dimension of sets of dyadic Lipschitz points (i.e., slow points) for functions belonging to particular Zygmund-type classes. The authors explore, in depth, the relationship between sets of slow points and sets of standard Lipschitz points, both in the particular case of the vander Waerden-Takagi function and for more general dyadic Zygmund functions.