On the dimension of orthogonal projections of self-similar measures

Amir Algom, Pablo Shmerkin

Let $\hat{I}½$ be a self similar measure on ${\mathbb{R}}^d$, $d\ge 2$, and let $\ddot{I}€$ be an orthogonal projection onto a $k$-dimensional subspace. We formulate a criterion on the action of…