2 papers
math.MG2026
Seventy Years of Fractal Projections
Kenneth J. Falconer
Seventy years ago, John Marstrand published a paper which, among other things, relates the Hausdorff dimension of a plane set to the dimensions of its orthogonal projections onto l…
math.MG2025
Frostman and Fourier characterisations of fractal dimensions
Kenneth J. Falconer, Shuqin Zhang
We examine Frostman-type characterisations and other extremal measure criteria for a range of fractal dimensions of sets. In particular we derive properties of the less familiar mo…