46 citations · 268 across the 58 of their papers we have counts for
3 papers · 2 filters
Sixty Years of Fractal Projections
Kenneth Falconer, Jonathan Fraser, Xiong Jin
Sixty 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 lin…
On the equality of Hausdorff measure and Hausdorff content
Ábel Farkas, Jonathan M. Fraser
We are interested in situations where the Hausdorff measure and Hausdorff content of a set are equal in the critical dimension. Our main result shows that this equality holds for a…
The Assouad dimension of randomly generated fractals
Jonathan M. Fraser, Jun Jie Miao, Sascha Troscheit
We consider several different models for generating random fractals including random self-similar sets, random self-affine carpets, and fractal percolation. In each setting we comp…