On the Hausdorff measure of projections of self-similar sets

Chong-Wei Liang

For $0<d\le 1/4$, let $\mathcal{C}(d)$ be the four-corner Cantor set with Hausdorff dimension $s_d=\log 4/\log (1/d)$. Peres, Simon, and Solomyak, as well as Mattila, asked for whic…