Correlated Fractal Percolation and the Palis Conjecture
Correlated Fractal Percolation and the Palis Conjecture
Let F 1 and F 2 be independent copies of one-dimensional correlated fractal percolation, with almost sure Hausdorff dimensions dim H(F 1) and dim H(F 2). Consider the following question: does dim H(F 1)+dim H(F 2)>1 imply that their algebraic difference F 1−F 2 will contain an interval? The well …