In this talk we will discuss the problem of weighted approximation on missing digit sets in R². When the missing digit set is a product, as explained in a note of Allen and Ward (see arXiv:2205.07570 ), such problems can be studied using the mass transference from rectangle to rectangle established by Wang and Wu (arXiv:1909.00924 ). We will explain how we deal with missing digit sets that are non products. In particular, given an ergodic measure m on the fractal, we will provide a formula for points approximable at different rate in x and y by the orbit under the underlaying IFS of a m-typical point.
