The sum of Rademacher functions and Hausdorff dimension
The sum of Rademacher functions and Hausdorff dimension
Abstract For 0 < α < 1, let for 0 ≤ x < 1, where is the sequence of Rademacher functions. We give a class of f α so that their graphs have Hausdorff dimension 2 − α. The result is closely related to the corresponding unsolved question for the …