46 citations · 268 across the 58 of their papers we have counts for
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math.MG2011★ 46 cited
On the packing dimension of box-like self-affine sets in the plane
Jonathan M. Fraser
We consider a class of planar self-affine sets which we call "box-like". A box-like self-affine set is the attractor of an iterated function system (IFS) of affine maps where the i…
math.MG2011★ 1 cited
The Hausdorff dimension of graphs of prevalent continuous functions
Jonathan M. Fraser, James T. Hyde
We prove that the Hausdorff dimension of the graph of a prevalent continuous function is 2. We also indicate how our results can be extended to the space of continuous functions on…
math.MG2011★ 33 cited
The horizon problem for prevalent surfaces
Kenneth J. Falconer, Jonathan M. Fraser
We investigate the box dimensions of the horizon of a fractal surface defined by a function . In particular we show that a prevalent surface satisfies the `horizon…