Takagi type functions and dynamical systems: the smoothness of the SBR measure and the existence and smoothness of local time

P. Imkeller, O. Menoukeu Pamen, F. Proske

We investigate the occupation measures and local times of Takagi-type functions with roughness parameter $\gamma$, which are Hölder continuous with exponent $H=\frac{\log \gamma }{\log (1/2)}.$…