92 citations · 502 across the 56 of their papers we have counts for
Showing 2017 · math.CAShow all
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math.CA2017
Self-similar measures: asymptotic bounds for the dimension and Fourier decay of smooth images
Carolina A. Mosquera, Pablo Shmerkin
R. Kaufman and M. Tsujii proved that the Fourier transform of self-similar measures has a power decay outside of a sparse set of frequencies. We present a version of this result fo…
math.CA2017★ 12 cited
On the Hausdorff dimension of pinned distance sets
Pablo Shmerkin
We prove that if is a Borel set in the plane of equal Hausdorff and packing dimension , then the set of pinned distances has full Hausdorff dimension f…
math.CA2017
Hölder coverings of sets of small dimension
Eino Rossi, Pablo Shmerkin
We show that a set of small box counting dimension can be covered by a Hölder graph from all but a small set of directions, and give sharp bounds for the dimension of the exception…