3,696 research outputs found
Dimensions of sums with self-similar sets
For some self-similar sets K in d-dimensional Euclidean space we obtain
certain lower bounds for the lower Minkowski dimension of K+E in terms of the
lower Minkowski dimension of E.Comment: 12 page
Spherical Means and Pinned Distance Sets
We use mixed norm estimates for the spherical averaging operator to obtain
some results concerning pinned distance sets
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