48 citations · 162 across the 17 of their papers we have counts for
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math.MG2014
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…
math.PR2014
Dimension conservation for self-similar sets and fractal percolation
Kenneth Falconer, Xiong Jin
We introduce a technique that uses projection properties of fractal percolation to establish dimension conservation results for sections of deterministic self-similar sets. For exa…