Local time of self-affine sets of Brownian motion type – Revisited

In [5], we studied self-affine sets of Brownian motion type. We obtained the image measure induced by the Lebesgue measure on the domain space. If it is absolutely continuous, the density function is called the local time. The local times are obtained by solving so-called jigsaw puzzle. In this paper, we are specially interested in the self-affine set with 3 pieces with the orientations “up, down, up” (see the picture below).