92 citations · 502 across the 56 of their papers we have counts for
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math.DS2009★ 92 cited
Local entropy averages and projections of fractal measures
Michael Hochman, Pablo Shmerkin
We show that for families of measures on Euclidean space which satisfy an ergodic-theoretic form of "self-similarity" under the operation of re-scaling, the dimension of linear ima…
math.DS2009
The Hausdorff dimension of the projections of self-affine carpets
Andrew Ferguson, Thomas Jordan, Pablo Shmerkin
We study the orthogonal projections of a large class of self-affine carpets, which contains the carpets of Bedford and McMullen as special cases. Our main result is that if is…