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Self-Similar Sets: Projections, Sections and Percolation

Self-Similar Sets: Projections, Sections and Percolation

We survey some recent results on the dimension of orthogonal projections of self-similar sets and of random subsets obtained by percolation on self-similar sets. In particular we highlight conditions when the dimension of the projections takes the generic value for all, or very nearly all, projections. We then describe a …