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20042025
most citedLocal entropy averages and projections of fractal measures

92 citations · 502 across the 56 of their papers we have counts for

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Showing 2009 · math.CAShow all

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math.CA2009★ 1 cited

Visible parts of fractal percolation

I. Arhosalo, E. Järvenpää, M. Järvenpää +2

We study dimensional properties of visible parts of fractal percolation in the plane. Provided that the dimension of the fractal percolation is at least 1, we show that, conditione…

math.CA2009

On the dimension of iterated sumsets

Jörg Schmeling, Pablo Shmerkin

Let A be a subset of the real line. We study the fractal dimensions of the k-fold iterated sumsets kA, defined as kA = A+...+A (k times). We show that for any non-decreasing sequen…

math.CA2009

Convolutions of Cantor measures without resonance

Fedor Nazarov, Yuval Peres, Pablo Shmerkin

Denote by the distribution of the random sum , where and all the choices are independent. For , the measure…