Tuomas Orponen
Published 2012-04-10, updated 2012-06-04Version 3
We consider several classical results related to the Hausdorff dimension of exceptional sets of orthogonal projections and try to find out whether they have reasonable formulations in terms of packing dimension. We also investigate the existence of category versions for Marstrand and Falconer-Howroyd-type projection results.
Comments: 42 pages, 5 figures. v3: improved Theorem 1.9
An improved bound on the packing dimension of Furstenberg sets in the plane
On the packing dimension of Furstenberg sets
Exceptional sets for length under restricted families of projections onto lines in $\mathbb{R}^3$
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